Metrics for Falkner and Boettcher, Equation (22+)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze4.0ms (0%)

Memory

3.8MiB live, 3.8MiB 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)

sample1.5s (19.9%)

Memory

32.0MiB live, 1 133.3MiB allocated; 242ms collecting garbage

Samples

958.0ms	8 256×	0	valid
1.0ms	11×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 751.0ms

ival-mult: 476.0ms (63.4% of total)

ival-div: 87.0ms (11.6% of total)

ival-sub: 70.0ms (9.3% of total)

ival-sqrt: 60.0ms (8% of total)

ival-pi: 31.0ms (4.1% of total)

exact: 17.0ms (2.3% of total)

ival-true: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

explain233.0ms (3.2%)

Memory

-8.6MiB live, 241.7MiB allocated; 28ms collecting garbage

FPErrors

Click to see full error table

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

60.0ms

512×

valid

Compiler

Compiled 194 to 52 computations (73.2% saved)

Precisions

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

ival-mult: 14.0ms (47.9% of total)

ival-sub: 4.0ms (13.7% of total)

ival-div: 3.0ms (10.3% of total)

ival-sqrt: 3.0ms (10.3% of total)

ival-pi: 2.0ms (6.8% of total)

exact: 1.0ms (3.4% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess240.0ms (3.2%)

Memory

40.0MiB live, 180.0MiB allocated; 30ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.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

▶

98.4%

(/.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)

simplify116.0ms (1.6%)

Memory

-5.4MiB live, 85.5MiB allocated; 14ms 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)

localize41.0ms (0.6%)

Memory

13.8MiB live, 59.8MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy	0.01171875	(.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	0.16796875	(.f64 #s(literal 6 binary64) (.f64 v v))
accuracy	0.96875	(/.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

22.0ms

256×

valid

Compiler

Compiled 87 to 18 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (50.3% of total)

ival-div: 2.0ms (14.4% of total)

ival-sub: 2.0ms (14.4% of total)

ival-sqrt: 2.0ms (14.4% of total)

ival-pi: 1.0ms (7.2% of total)

exact: 1.0ms (7.2% of total)

adjust: 0.0ms (0% of total)

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

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

series26.0ms (0.4%)

Memory

-21.2MiB live, 36.7MiB allocated; 3ms 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
20.0ms	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

20.0ms

((/ 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)))

simplify189.0ms (2.6%)

Memory

-15.0MiB live, 219.0MiB allocated; 15ms 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)))))))

rewrite278.0ms (3.8%)

Memory

-21.0MiB live, 200.1MiB allocated; 90ms 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))))))
(/.f64 (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 (neg.f64 v) v #s(literal -1 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)))

eval61.0ms (0.8%)

Memory: 7.3MiB live, 97.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 11 615 to 1 582 computations (86.4% saved)

prune23.0ms (0.3%)

Memory

-26.1MiB live, 31.7MiB allocated; 3ms 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) (fma.f64 (.f64 (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 (.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))))))
▶	100.0%	(/.f64 #s(literal 4 binary64) (fma.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))))))
	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))))))
	96.7%	(/.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))))
▶	98.2%	(/.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)))))
▶	100.0%	(.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)))
▶	96.6%	#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 440 to 324 computations (26.4% saved)

simplify147.0ms (2%)

Memory

31.8MiB live, 123.0MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 #s(literal 4/3 binary64) (PI.f64))
cost-diff	0	(/.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)))))
cost-diff	0	(.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)))
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	(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	1	(.f64 (.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v))
cost-diff	1	(/.f64 #s(literal 4 binary64) (fma.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))))))
cost-diff	10	(fma.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)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	464
0	92	461
1	178	441
2	514	431
3	1814	431
4	4803	431
0	8225	424

Stop Event

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

Calls

Call 1

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

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

localize195.0ms (2.6%)

Memory

-21.1MiB live, 265.9MiB allocated; 26ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.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)))))
accuracy	0.00390625	(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
accuracy	0.0078125	(.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)))
accuracy	1.0	(/.f64 #s(literal 4/3 binary64) (PI.f64))
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	0.015625	(.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	0.6690083272671393	#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	0.96875	(/.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	0.0	(PI.f64)
accuracy	0.00390625	(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
accuracy	0.0078125	(/.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	0.01171875	(*.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	1.1889809930962578	#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	0.26953125	(.f64 (.f64 (PI.f64) #s(literal 3 binary64)) v)
accuracy	0.96875	(/.f64 #s(literal 4 binary64) (fma.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))))))
accuracy	0.97265625	(fma.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)))))
accuracy	0.97265625	(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))

Samples

147.0ms

256×

valid

Compiler

Compiled 446 to 55 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-div: 55.0ms (50.5% of total)

ival-mult: 29.0ms (26.6% of total)

ival-sqrt: 6.0ms (5.5% of total)

ival-add: 4.0ms (3.7% of total)

ival-sub: 4.0ms (3.7% of total)

const: 3.0ms (2.8% of total)

ival-pow: 3.0ms (2.8% of total)

ival-pi: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

series31.0ms (0.4%)

Memory

19.6MiB live, 63.9MiB allocated; 6ms collecting garbage

Counts

22 → 117

Calls

Call 1

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

Outputs
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (+ (* -3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (+ (* -3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/2 (/ (PI) (pow (sqrt 2) 5))) (* 27/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(/ 4/3 (* (PI) (sqrt 2)))
(+ (* -4/9 (/ (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))) (* (pow (PI) 2) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2))))))) (* 4/9 (/ (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/3 (/ (* (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* (PI) (sqrt 2)))) (+ (* -4/27 (/ (* (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -81/2 (/ (PI) (pow (sqrt 2) 5))) (* 27/2 (/ (PI) (pow (sqrt 2) 3)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))))) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2))))))) (* 4/9 (/ (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(* -3 (* (pow v 2) (PI)))
(* 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 (/ (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))))))))))
(+ (* 4/3 (* (pow v 2) (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (/ (sqrt 1/2) (PI))))
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(* (PI) (sqrt 2))
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(PI)
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1
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(* 3 (* v (PI)))
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(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
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(* (pow v 2) (PI))
(* (pow v 2) (+ (PI) (/ (PI) (pow v 2))))
(pow v 2)
(* (pow v 2) (+ 1 (/ 1 (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))))
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(* -3 (* (pow v 2) (* (PI) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))))
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(* -4/3 (/ (sqrt -1/6) (* (pow v 5) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 5))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))) (pow v 4))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 5))
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(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
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(* 3 (* (pow v 3) (* (PI) (sqrt -6))))
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(/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))
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(* -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 (* (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))))))))
(* 4/3 (/ (sqrt -1/6) (* (pow v 5) (PI))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 5)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))) (pow v 4))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 5)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 4/3 (/ (+ (* 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)))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))))) (pow v 5)))
(* -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
15.0ms	v	@	inf	((+ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4 (+ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2))))) (* (* (* (PI) 3) v) (neg v)) (* (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) (+ (* (* (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) (* (/ (/ 4/3 (PI)) (* (- 1 (pow v 4)) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* v v) 1)) (/ (/ 4/3 (PI)) (* (- 1 (pow v 4)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4/3 (PI)) (PI) (* (* (PI) 3) v) (sqrt (+ (* -6 (* v v)) 2)))
9.0ms	v	@	0	((+ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4 (+ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2))))) (* (* (* (PI) 3) v) (neg v)) (* (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) (+ (* (* (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) (* (/ (/ 4/3 (PI)) (* (- 1 (pow v 4)) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* v v) 1)) (/ (/ 4/3 (PI)) (* (- 1 (pow v 4)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4/3 (PI)) (PI) (* (* (PI) 3) v) (sqrt (+ (* -6 (* v v)) 2)))
4.0ms	v	@	-inf	((+ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4 (+ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2))))) (* (* (* (PI) 3) v) (neg v)) (* (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) (+ (* (* (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) (* (/ (/ 4/3 (PI)) (* (- 1 (pow v 4)) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* v v) 1)) (/ (/ 4/3 (PI)) (* (- 1 (pow v 4)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4/3 (PI)) (PI) (* (* (PI) 3) v) (sqrt (+ (* -6 (* v v)) 2)))

Time

Variable

Point

Expression

15.0ms

inf

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

9.0ms

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

4.0ms

-inf

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

simplify207.0ms (2.8%)

Memory

9.6MiB live, 341.1MiB allocated; 42ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	584	4882
1	2176	4124
0	9032	3940

Stop Event

1×	iter limit
1×	node limit

Counts

117 → 117

Calls

Call 1

Inputs
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (+ (* -3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (+ (* -3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/2 (/ (PI) (pow (sqrt 2) 5))) (* 27/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(/ 4/3 (* (PI) (sqrt 2)))
(+ (* -4/9 (/ (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))) (* (pow (PI) 2) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2))))))) (* 4/9 (/ (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/3 (/ (* (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* (PI) (sqrt 2)))) (+ (* -4/27 (/ (* (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -81/2 (/ (PI) (pow (sqrt 2) 5))) (* 27/2 (/ (PI) (pow (sqrt 2) 3)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))))) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2))))))) (* 4/9 (/ (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(* -3 (* (pow v 2) (PI)))
(* 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 (/ (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))))))))))
(+ (* 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))
(+ (* -1 (* (pow v 2) (* (PI) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))))) (* (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 (* (pow v 2) (* (PI) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))))) (* 3 (* (PI) (sqrt 2))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 2) (* (PI) (sqrt 1/2))))
(+ (* 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))))) (/ 1 (* (PI) (sqrt 1/2))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* (pow v 2) (+ (* 4/3 (* (pow v 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)))))) (/ 1 (* (PI) (sqrt 1/2))))))
(* 3 (* v (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 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (/ (PI) (* (pow v 4) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (/ (PI) (* (pow v 4) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(/ -4/3 (* (pow v 3) (* (PI) (sqrt -6))))
(/ (- (* -4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3))
(/ (- (* -1 (/ (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (pow v 4))) (+ (* 4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3))
(/ (- (* -1 (/ (+ (* 4/27 (/ (* (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6))))) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (+ (* 1/3 (/ (* (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow (PI) 2) (pow (sqrt -6) 2)))))) (* (PI) (sqrt -6)))) (* 4/9 (/ (+ (* -3/2 (/ (PI) (pow (sqrt -6) 3))) (* -3/2 (/ (PI) (pow (sqrt -6) 5)))) (* (pow (PI) 2) (pow (sqrt -6) 2)))))) (pow v 6))) (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow v 4) (* (pow (PI) 3) (pow (sqrt -6) 3))))) (+ (* 4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (+ (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow v 4) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3))
(* 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 (/ (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))
(* 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))
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(* (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))))
(* -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))))
(* (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) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))))
(* (pow v 2) (+ (* -3 (* (PI) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))) (* 3 (/ (* (PI) (sqrt 2)) (pow v 2)))))
(* -4/3 (/ (sqrt -1/6) (* (pow v 5) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 5))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))) (pow v 4))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 5))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 4/3 (/ (+ (* 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)))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))))) (pow v 5))
(* 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 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (/ (PI) (* (pow v 4) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2)))))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (/ (PI) (* (pow v 4) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2)))))))))))
(/ 4/3 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (/ (- (* -4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3)))
(* -1 (/ (- (* -1 (/ (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (pow v 4))) (+ (* 4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3)))
(* -1 (/ (- (* -1 (/ (+ (* 4/27 (/ (* (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6))))) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (+ (* 1/3 (/ (* (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow (PI) 2) (pow (sqrt -6) 2)))))) (* (PI) (sqrt -6)))) (* 4/9 (/ (+ (* -3/2 (/ (PI) (pow (sqrt -6) 3))) (* -3/2 (/ (PI) (pow (sqrt -6) 5)))) (* (pow (PI) 2) (pow (sqrt -6) 2)))))) (pow v 6))) (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow v 4) (* (pow (PI) 3) (pow (sqrt -6) 3))))) (+ (* 4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (+ (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow v 4) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3)))
(* -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 (/ (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)))
(* -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 (* (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))))))))
(* 4/3 (/ (sqrt -1/6) (* (pow v 5) (PI))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 5)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))) (pow v 4))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 5)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 4/3 (/ (+ (* 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)))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))))) (pow v 5)))
(* -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
(* 3 (* (PI) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))))
(.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (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) (+ (* -9 (/ (PI) (sqrt 2))) (+ (* -3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))))))))
(fma.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) v) v (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64)))) (*.f64 v v)))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (+ (* -3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/2 (/ (PI) (pow (sqrt 2) 5))) (* 27/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(fma.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 27/4 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 -81/2 binary64))) v) v (fma.f64 #s(literal -27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 v v) (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64)))) (*.f64 v v)))
(/ 4/3 (* (PI) (sqrt 2)))
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(+ (* -4/9 (/ (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))) (* (pow (PI) 2) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
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(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))) (pow v 4))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 5)))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal 1/144 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 4 binary64))) #s(literal 4/3 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -4/3 binary64) (/.f64 (/.f64 #s(literal 1/27 binary64) (.f64 v v)) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (neg.f64 (pow.f64 v #s(literal 5 binary64))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 4/3 (/ (+ (* 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)))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))))) (pow v 5)))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -4/3 binary64) (fma.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 1/144 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 77/2592 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal 1/27 binary64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (neg.f64 (pow.f64 v #s(literal 5 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) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (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) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 #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 #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64))))))

rewrite250.0ms (3.4%)

Memory

-0.7MiB live, 409.0MiB allocated; 72ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	321
0	92	318
1	315	298
2	2210	294
0	8208	288

Stop Event

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

Counts

22 → 880

Calls

Call 1

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

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

eval350.0ms (4.7%)

Memory: 25.5MiB live, 633.0MiB allocated; 121ms collecting garbage
Compiler: Compiled 62 227 to 5 162 computations (91.7% saved)

prune32.0ms (0.4%)

Memory

7.6MiB live, 108.1MiB allocated; 10ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	1 394	5	1 399
Fresh	0	3	3
Picked	4	1	5
Done	0	0	0
Total	1 398	9	1 407

Accuracy

100.0%

Counts

1 407 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (.f64 (neg.f64 v) (PI.f64)) (.f64 #s(literal 3 binary64) v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
▶	100.0%	(/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (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 (.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))))))
▶	100.0%	(/.f64 #s(literal 4 binary64) (fma.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 ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 (.f64 v v) (PI.f64)) #s(literal -3 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
	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))))))
▶	96.7%	(/.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 (.f64 (PI.f64) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))))
	98.2%	(/.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)))))
▶	98.1%	(/.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))))
✓	96.6%	#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 489 to 357 computations (27% saved)

simplify216.0ms (2.9%)

Memory

-22.9MiB live, 222.3MiB allocated; 52ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
cost-diff	1	(.f64 (.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v))
cost-diff	2	(/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (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 (.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))))))
cost-diff	14	(fma.f64 (.f64 (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 (.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)))))
cost-diff	0	(.f64 (PI.f64) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (PI.f64) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
cost-diff	0	#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 (.f64 (PI.f64) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #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 (.f64 (PI.f64) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 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	(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	(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 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 #s(literal 4 binary64) (fma.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 ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 (.f64 v v) (PI.f64)) #s(literal -3 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
cost-diff	8	(fma.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 ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 (.f64 v v) (PI.f64)) #s(literal -3 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	570
0	114	563
1	206	535
2	507	516
3	1455	514
4	2833	514
5	4525	514
6	6259	514
7	7962	514
0	8452	503

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 #s(literal 4 binary64) (fma.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 ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 (.f64 v v) (PI.f64)) #s(literal -3 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 3 binary64) #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.f64 v v)))))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
#s(literal 4 binary64)
(fma.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 ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 (.f64 v v) (PI.f64)) #s(literal -3 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(.f64 (fma.f64 (PI.f64) #s(literal 3 binary64) #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.f64 v v))))) (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)
(PI.f64)
(.f64 #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 (.f64 v v) (PI.f64)) #s(literal -3 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
(.f64 #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
#s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 (.f64 (*.f64 v v) (PI.f64)) #s(literal -3 binary64)))
#s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (*.f64 v v))))
(.f64 (.f64 (*.f64 v v) (PI.f64)) #s(literal -3 binary64))
(.f64 #s(literal -3 binary64) (.f64 (PI.f64) (*.f64 v v)))
(.f64 (.f64 v v) (PI.f64))
(.f64 (PI.f64) (.f64 v v))
#s(literal -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))))
#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 #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 (.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))))
#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 (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 #s(literal 3 binary64) (PI.f64)))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (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)
(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #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 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 (.f64 (PI.f64) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))))
#s(literal 4 binary64)
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 (.f64 (PI.f64) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (PI.f64) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (PI.f64) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
(PI.f64)
(fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 #s(literal 9/2 binary64)))
(sqrt.f64 #s(literal 9/2 binary64))
#s(literal 9/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 v v)
v
#s(literal 3 binary64)
(/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (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 (.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 #s(literal -4/3 binary64) (.f64 (.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
#s(literal 4 binary64)
(fma.f64 (.f64 (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 (.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 (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 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (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)
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64))
#s(literal 3 binary64)
(.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 #s(literal -3 binary64) (.f64 (PI.f64) (.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v))
(.f64 #s(literal -3 binary64) (.f64 (PI.f64) (*.f64 v v)))
(.f64 (.f64 (PI.f64) #s(literal 3 binary64)) v)
(*.f64 (PI.f64) #s(literal 3 binary64))
(neg.f64 v)

localize142.0ms (1.9%)

Memory

13.8MiB live, 340.8MiB allocated; 31ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.26953125	(.f64 (.f64 (PI.f64) #s(literal 3 binary64)) v)
accuracy	0.96875	(/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (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 (.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))))))
accuracy	0.984375	(fma.f64 (.f64 (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 (.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)))))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	0.00390625	(.f64 (PI.f64) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.015625	(.f64 (.f64 (PI.f64) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
accuracy	0.6690083272671393	#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 (.f64 (PI.f64) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))
accuracy	0.96875	(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 (.f64 (PI.f64) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))))
accuracy	0.01171875	(.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	0.16796875	(.f64 #s(literal 6 binary64) (.f64 v v))
accuracy	0.96875	(/.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	1.1465479352410868	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0	(PI.f64)
accuracy	0.0078125	(/.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	1.11323891228204	#s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
accuracy	0.22884750976844204	(.f64 #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 (.f64 v v) (PI.f64)) #s(literal -3 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
accuracy	0.96875	(/.f64 #s(literal 4 binary64) (fma.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 ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 (.f64 v v) (PI.f64)) #s(literal -3 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
accuracy	0.97265625	(fma.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 ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 (.f64 v v) (PI.f64)) #s(literal -3 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
accuracy	0.97265625	(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))

Samples

95.0ms

256×

valid

Compiler

Compiled 509 to 55 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 35.0ms (50.4% of total)

ival-sqrt: 8.0ms (11.5% of total)

ival-add: 7.0ms (10.1% of total)

ival-div: 6.0ms (8.6% of total)

const: 4.0ms (5.8% of total)

ival-neg: 4.0ms (5.8% of total)

ival-sub: 3.0ms (4.3% of total)

ival-pi: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

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

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

series19.0ms (0.3%)

Memory

0.3MiB live, 46.0MiB allocated; 5ms collecting garbage

Counts

25 → 128

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

-inf

((+ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4 (+ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2))))) (* (sqrt (+ (* -6 (* v v)) 2)) 3) (sqrt (+ (* -6 (* v v)) 2)) (/ 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) (- 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 (- 2 (* 6 (* v v)))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (* (PI) (+ (* (- (neg (sqrt 9/2)) (sqrt 2)) (* v v)) (sqrt 2))) 3) (* (PI) (+ (* (- (neg (sqrt 9/2)) (sqrt 2)) (* v v)) (sqrt 2))) (+ (* (* (sqrt (+ (* -6 (* v v)) 2)) (sqrt (PI))) (* (sqrt (PI)) 3)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4 (+ (* (* (sqrt (+ (* -6 (* v v)) 2)) (sqrt (PI))) (* (sqrt (PI)) 3)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2))))) (* (* (* (PI) 3) v) (neg v)) (* (sqrt (+ (* -6 (* v v)) 2)) (sqrt (PI))) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2))) (PI) (* 6 (* v v)) (sqrt (PI)) (* (* (PI) 3) v))

5.0ms

inf

((+ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4 (+ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2))))) (* (sqrt (+ (* -6 (* v v)) 2)) 3) (sqrt (+ (* -6 (* v v)) 2)) (/ 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) (- 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 (- 2 (* 6 (* v v)))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (* (PI) (+ (* (- (neg (sqrt 9/2)) (sqrt 2)) (* v v)) (sqrt 2))) 3) (* (PI) (+ (* (- (neg (sqrt 9/2)) (sqrt 2)) (* v v)) (sqrt 2))) (+ (* (* (sqrt (+ (* -6 (* v v)) 2)) (sqrt (PI))) (* (sqrt (PI)) 3)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4 (+ (* (* (sqrt (+ (* -6 (* v v)) 2)) (sqrt (PI))) (* (sqrt (PI)) 3)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2))))) (* (* (* (PI) 3) v) (neg v)) (* (sqrt (+ (* -6 (* v v)) 2)) (sqrt (PI))) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2))) (PI) (* 6 (* v v)) (sqrt (PI)) (* (* (PI) 3) v))

4.0ms

((+ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4 (+ (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2))))) (* (sqrt (+ (* -6 (* v v)) 2)) 3) (sqrt (+ (* -6 (* v v)) 2)) (/ 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) (- 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 (- 2 (* 6 (* v v)))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (* (PI) (+ (* (- (neg (sqrt 9/2)) (sqrt 2)) (* v v)) (sqrt 2))) 3) (* (PI) (+ (* (- (neg (sqrt 9/2)) (sqrt 2)) (* v v)) (sqrt 2))) (+ (* (* (sqrt (+ (* -6 (* v v)) 2)) (sqrt (PI))) (* (sqrt (PI)) 3)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4 (+ (* (* (sqrt (+ (* -6 (* v v)) 2)) (sqrt (PI))) (* (sqrt (PI)) 3)) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2))))) (* (* (* (PI) 3) v) (neg v)) (* (sqrt (+ (* -6 (* v v)) 2)) (sqrt (PI))) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2))) (PI) (* 6 (* v v)) (sqrt (PI)) (* (* (PI) 3) v))

simplify244.0ms (3.3%)

Memory

33.9MiB live, 363.0MiB allocated; 110ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	620	5037
1	2322	4374
0	8484	4180

Stop Event

1×	iter limit
1×	node limit

Counts

128 → 128

Calls

Call 1

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

Outputs
(* 3 (* (PI) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))))
(fma.f64 (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64))) (.f64 v v) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (+ (* -3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 v v) (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64)))) (.f64 v v) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (+ (* -3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/2 (/ (PI) (pow (sqrt 2) 5))) (* 27/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 27/4 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 -81/2 binary64))) (.f64 v v) (.f64 #s(literal 9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 v v) (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64)))) (.f64 v v) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))
(/ 4/3 (* (PI) (sqrt 2)))
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(+ (* -4/9 (/ (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))) (* (pow (PI) 2) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(fma.f64 #s(literal -2/9 binary64) (.f64 (/.f64 (.f64 v v) (PI.f64)) (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64))) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2))))))) (* 4/9 (/ (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(fma.f64 (-.f64 (.f64 (.f64 (neg.f64 v) v) (fma.f64 #s(literal 2/9 binary64) (/.f64 (fma.f64 #s(literal -27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 #s(literal -4/27 binary64) (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64))) #s(literal 2 binary64))) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))))) (.f64 #s(literal 2/9 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64))) (.f64 (PI.f64) (PI.f64))))) (.f64 v v) (/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/3 (/ (* (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* (PI) (sqrt 2)))) (+ (* -4/27 (/ (* (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -81/2 (/ (PI) (pow (sqrt 2) 5))) (* 27/2 (/ (PI) (pow (sqrt 2) 3)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))))) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2))))))) (* 4/9 (/ (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(fma.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (neg.f64 v) v) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 2/9 binary64) (/.f64 (fma.f64 #s(literal -27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 #s(literal -4/27 binary64) (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64))) #s(literal 2 binary64))) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal -1/3 binary64) (fma.f64 #s(literal 2/9 binary64) (/.f64 (fma.f64 #s(literal 27/4 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 -81/2 binary64))) (.f64 (PI.f64) (PI.f64))) (.f64 (/.f64 (.f64 (fma.f64 #s(literal -27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64)))) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))) #s(literal -4/27 binary64))))) (fma.f64 #s(literal 2/9 binary64) (/.f64 (fma.f64 #s(literal -27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 #s(literal -4/27 binary64) (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64))) #s(literal 2 binary64))) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))))) (.f64 v v)) (.f64 #s(literal 2/9 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64))) (.f64 (PI.f64) (PI.f64))))) (.f64 v v) (/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(* 3 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(+ (* -9 (/ (pow v 2) (sqrt 2))) (* 3 (sqrt 2)))
(fma.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(+ (* 3 (sqrt 2)) (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 9 (/ 1 (sqrt 2))))))
(fma.f64 (-.f64 (.f64 #s(literal -27/4 binary64) (/.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 9 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(+ (* 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))))))
(fma.f64 (-.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal -81/2 binary64) (.f64 v v)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 27/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 v v)) (/.f64 #s(literal 9 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(fma.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (-.f64 (.f64 #s(literal -9/4 binary64) (/.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(+ (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))))))
(fma.f64 (-.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal -27/2 binary64) (.f64 v v)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 9/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 v v)) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(* 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) (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(.f64 #s(literal 4/3 binary64) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64) (/.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))))
(+ (* 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 (.f64 #s(literal 4/3 binary64) (fma.f64 (-.f64 (-.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 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal 3/4 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)))
(+ (* 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 #s(literal 4/3 binary64) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 159/32 binary64) (.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 (/.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 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (.f64 v v) (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) #s(literal 4/3 binary64))) (.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 (fma.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (.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)))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 v v) (fma.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) (.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))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (fma.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))) (.f64 v v) (.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 v v) (fma.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(.f64 #s(literal 4/3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 3/4 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 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+ (* 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 #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 #s(literal 3/4 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)) #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))))))))))
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(* -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)))))))
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(* -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) (PI.f64)) (sqrt.f64 #s(literal -6 binary64)) (.f64 #s(literal 3 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) #s(literal -1/2 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)) (sqrt (PI))))
(.f64 (neg.f64 v) (.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 (PI.f64))))
(* -1 (* v (+ (* (sqrt (PI)) (sqrt -6)) (* (/ 1 (* (pow v 2) (sqrt -6))) (sqrt (PI))))))
(.f64 (neg.f64 v) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (sqrt.f64 #s(literal -6 binary64)))))
(* -1 (* v (+ (* -1/2 (* (/ 1 (* (pow v 4) (pow (sqrt -6) 3))) (sqrt (PI)))) (+ (* (sqrt (PI)) (sqrt -6)) (* (/ 1 (* (pow v 2) (sqrt -6))) (sqrt (PI)))))))
(.f64 (neg.f64 v) (fma.f64 (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64)))) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)))))
(* -1 (* v (+ (* -1/2 (* (/ 1 (* (pow v 4) (pow (sqrt -6) 3))) (sqrt (PI)))) (+ (* 1/2 (* (/ 1 (* (pow v 6) (pow (sqrt -6) 5))) (sqrt (PI)))) (+ (* (sqrt (PI)) (sqrt -6)) (* (/ 1 (* (pow v 2) (sqrt -6))) (sqrt (PI))))))))
(.f64 (neg.f64 v) (fma.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (.f64 #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 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3))))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 3/2 binary64) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (.f64 #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 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (* 3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 #s(literal -3/2 binary64) (-.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64))))) (.f64 #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)))))))

rewrite249.0ms (3.4%)

Memory

-2.3MiB live, 369.2MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	423
0	114	415
1	331	381
2	2141	381
0	9285	375

Stop Event

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

Counts

25 → 531

Calls

Call 1

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

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

eval234.0ms (3.2%)

Memory: 16.3MiB live, 444.6MiB allocated; 102ms collecting garbage
Compiler: Compiled 58 544 to 5 154 computations (91.2% saved)

prune35.0ms (0.5%)

Memory

-5.8MiB live, 87.2MiB allocated; 15ms collecting garbage

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1 168	4	1 172
Fresh	1	2	3
Picked	2	3	5
Done	0	1	1
Total	1 171	10	1 181

Accuracy

100.0%

Counts

1 181 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.2%	(/.f64 (/.f64 #s(literal 4 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))))
✓	100.0%	(/.f64 #s(literal 4 binary64) (fma.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 ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 (.f64 v v) (PI.f64)) #s(literal -3 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
▶	98.5%	(/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 (.f64 (PI.f64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
	98.4%	(/.f64 #s(literal 4 binary64) (fma.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.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))))))
▶	96.7%	(/.f64 #s(literal 4 binary64) (.f64 (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)))))
▶	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))))))
✓	97.5%	(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 (.f64 (PI.f64) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))))
▶	98.2%	(/.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)))))
✓	98.1%	(/.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))))
✓	96.6%	#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 466 to 350 computations (24.9% saved)

simplify196.0ms (2.7%)

Memory

15.8MiB live, 161.7MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 3 binary64))))
cost-diff	0	(.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)))))
cost-diff	0	(/.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))))))
cost-diff	1	(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
cost-diff	0	(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
cost-diff	0	(/.f64 (/.f64 #s(literal 4 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))))
cost-diff	0	(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
cost-diff	0	(.f64 (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))))
cost-diff	0	(/.f64 #s(literal 4 binary64) (.f64 (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)))))
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	(sqrt.f64 (PI.f64))
cost-diff	0	(*.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64))
cost-diff	0	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 (.f64 (PI.f64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.f64 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) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 (.f64 (PI.f64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.f64 v v)))) (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	53	512
0	89	508
1	169	508
2	389	496
3	958	496
4	1654	496
5	2295	496
6	2683	496
7	2996	496
8	3996	496
9	6673	496
10	7013	496
11	7108	496
12	7145	496
13	7502	496
0	8131	493

Stop Event

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

Calls

Call 1

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

localize206.0ms (2.8%)

Memory

-6.8MiB live, 378.8MiB allocated; 26ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
accuracy	0.01171875	(.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)))))
accuracy	0.16796875	(.f64 #s(literal 6 binary64) (.f64 v v))
accuracy	0.96875	(/.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))))))
accuracy	0.00390625	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy	0.97265625	(/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy	0.98046875	(/.f64 (/.f64 #s(literal 4 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))))
accuracy	1.1465479352410868	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
accuracy	0.00390625	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy	0.01171875	(.f64 (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))))
accuracy	0.96875	(/.f64 #s(literal 4 binary64) (.f64 (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)))))
accuracy	1.1465479352410868	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
accuracy	0.0	(PI.f64)
accuracy	0.00390625	(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
accuracy	0.0078125	(/.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	1.159517857472681	#s(approx (* (+ (* v v) 1) (PI)) (PI.f64))
accuracy	0.96875	(/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 (.f64 (PI.f64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
accuracy	0.97265625	(sqrt.f64 (.f64 (PI.f64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy	0.984375	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 (.f64 (PI.f64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
accuracy	1.0	(sqrt.f64 (PI.f64))

Samples

128.0ms

256×

valid

Compiler

Compiled 454 to 52 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 32.0ms (46.9% of total)

ival-add: 10.0ms (14.7% of total)

ival-div: 9.0ms (13.2% of total)

ival-sqrt: 8.0ms (11.7% of total)

const: 4.0ms (5.9% of total)

ival-sub: 2.0ms (2.9% of total)

ival-pi: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

series49.0ms (0.7%)

Memory

-19.1MiB live, 24.4MiB allocated; 9ms collecting garbage

Counts

23 → 115

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

40.0ms

inf

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

3.0ms

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

3.0ms

-inf

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

simplify222.0ms (3%)

Memory

19.1MiB live, 311.5MiB allocated; 35ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	587	4742
1	2195	3973
0	8211	3795

Stop Event

1×	iter limit
1×	node limit

Counts

115 → 115

Calls

Call 1

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

Outputs
(/ 4/3 (* (PI) (sqrt 2)))
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(+ (* -4/9 (/ (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))) (* (pow (PI) 2) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(fma.f64 #s(literal -2/9 binary64) (.f64 (/.f64 (.f64 v v) (PI.f64)) (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64))) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2))))))) (* 4/9 (/ (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(fma.f64 (-.f64 (.f64 (.f64 (neg.f64 v) v) (fma.f64 #s(literal 2/9 binary64) (/.f64 (fma.f64 #s(literal -27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 #s(literal -4/27 binary64) (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64))) #s(literal 2 binary64))) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))))) (.f64 #s(literal 2/9 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64))) (.f64 (PI.f64) (PI.f64))))) (.f64 v v) (/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/3 (/ (* (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* (PI) (sqrt 2)))) (+ (* -4/27 (/ (* (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -81/2 (/ (PI) (pow (sqrt 2) 5))) (* 27/2 (/ (PI) (pow (sqrt 2) 3)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))))) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2))))))) (* 4/9 (/ (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(fma.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (neg.f64 v) v) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 2/9 binary64) (/.f64 (fma.f64 #s(literal -27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 #s(literal -4/27 binary64) (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64))) #s(literal 2 binary64))) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal -1/3 binary64) (fma.f64 #s(literal 2/9 binary64) (/.f64 (fma.f64 #s(literal 27/4 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 -81/2 binary64))) (.f64 (PI.f64) (PI.f64))) (.f64 (/.f64 (.f64 (fma.f64 #s(literal -27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64)))) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))) #s(literal -4/27 binary64))))) (fma.f64 #s(literal 2/9 binary64) (/.f64 (fma.f64 #s(literal -27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 #s(literal -4/27 binary64) (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64))) #s(literal 2 binary64))) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))))) (.f64 v v)) (.f64 #s(literal 2/9 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64))) (.f64 (PI.f64) (PI.f64))))) (.f64 v v) (/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(* 3 (* (PI) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))))
(fma.f64 (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64))) (.f64 v v) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (+ (* -3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 v v) (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64)))) (.f64 v v) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (+ (* -3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/2 (/ (PI) (pow (sqrt 2) 5))) (* 27/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 27/4 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 -81/2 binary64))) (.f64 v v) (.f64 #s(literal 9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 v v) (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64)))) (.f64 v v) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))
(* 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) (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(.f64 #s(literal 4/3 binary64) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64) (/.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))))
(+ (* 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 (.f64 #s(literal 4/3 binary64) (fma.f64 (-.f64 (-.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 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal 3/4 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)))
(+ (* 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 #s(literal 4/3 binary64) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 159/32 binary64) (.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 (/.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 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (.f64 v v) (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) #s(literal 4/3 binary64))) (.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 (fma.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (.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)))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 v v) (fma.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) (.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))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (fma.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))) (.f64 v v) (.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 v v) (fma.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(PI)
(PI.f64)
(+ (PI) (* (pow v 2) (PI)))
(fma.f64 (*.f64 v v) (PI.f64) (PI.f64))
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(.f64 #s(literal 4/3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 3/4 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 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+ (* 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 #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 #s(literal 3/4 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)) #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 #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))))) (.f64 v v) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #s(literal 4/3 binary64))) (.f64 v v) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (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 (* (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) (fma.f64 (fma.f64 #s(literal -9/4 binary64) (/.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) (fma.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) (.f64 v v) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))
(+ (* 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 (fma.f64 (.f64 #s(literal 3 binary64) (fma.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))) (.f64 v v) (fma.f64 #s(literal -9/4 binary64) (/.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 (fma.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64))) (.f64 v v) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(fma.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (-.f64 (.f64 #s(literal -9/4 binary64) (/.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
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(.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 #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)))) (fma.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (fma.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (PI.f64) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) (/.f64 (PI.f64) v) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 4 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 (-.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (neg.f64 (PI.f64))) (/.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))))) (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 (-.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (neg.f64 (PI.f64))) (/.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 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal 4/3 binary64) (.f64 #s(literal 4/3 binary64) (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (neg.f64 (PI.f64))) (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (.f64 v v)) (/.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 (+.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 (neg.f64 (.f64 (pow.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 (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) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))))
(* -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))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (PI.f64) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64)))) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (+.f64 (/.f64 (+.f64 (/.f64 (PI.f64) (.f64 v v)) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal -6 binary64))) (.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) (/.f64 (PI.f64) v))))))
(* -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))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (+.f64 (/.f64 (+.f64 (/.f64 (PI.f64) (.f64 v v)) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) (/.f64 (PI.f64) 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 (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)))) (neg.f64 (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 (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 (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))))) (neg.f64 (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))) (* 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 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -4/3 binary64) (.f64 #s(literal 4/3 binary64) (+.f64 (+.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))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 77/2592 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal -1/144 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))))) (neg.f64 (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))))))
(.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) (PI.f64)) (sqrt.f64 #s(literal -6 binary64)) (.f64 #s(literal 3 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) #s(literal -1/2 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) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (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) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 #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 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64))))))
(* -4 (/ (sqrt -1/6) v))
(*.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) v))
(* -1 (/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))
(/.f64 (-.f64 (.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 1/9 binary64) (.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64)))) (neg.f64 v))
(* -1 (/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v))
(/.f64 (-.f64 (fma.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (pow.f64 v #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal 1/9 binary64) (.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64)))) (neg.f64 v))
(* -1 (/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal -5/648 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (pow.f64 v #s(literal 4 binary64)))))) (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64)))) (neg.f64 v))
(* -1 (* (* v (sqrt -6)) (sqrt (PI))))
(.f64 (neg.f64 v) (.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 (PI.f64))))
(* -1 (* v (+ (* (sqrt (PI)) (sqrt -6)) (* (/ 1 (* (pow v 2) (sqrt -6))) (sqrt (PI))))))
(.f64 (neg.f64 v) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (sqrt.f64 #s(literal -6 binary64)))))
(* -1 (* v (+ (* -1/2 (* (/ 1 (* (pow v 4) (pow (sqrt -6) 3))) (sqrt (PI)))) (+ (* (sqrt (PI)) (sqrt -6)) (* (/ 1 (* (pow v 2) (sqrt -6))) (sqrt (PI)))))))
(.f64 (neg.f64 v) (fma.f64 (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64)))) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)))))
(* -1 (* v (+ (* -1/2 (* (/ 1 (* (pow v 4) (pow (sqrt -6) 3))) (sqrt (PI)))) (+ (* 1/2 (* (/ 1 (* (pow v 6) (pow (sqrt -6) 5))) (sqrt (PI)))) (+ (* (sqrt (PI)) (sqrt -6)) (* (/ 1 (* (pow v 2) (sqrt -6))) (sqrt (PI))))))))
(.f64 (neg.f64 v) (fma.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64))))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v))))))

rewrite228.0ms (3.1%)

Memory

-24.5MiB live, 352.5MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	342
0	89	338
1	289	334
2	1684	334
0	8333	329

Stop Event

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

Counts

23 → 497

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 #s(literal 9 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) (PI.f64))) (.f64 (pow.f64 #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64))) #s(literal 2 binary64)) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (-.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 v v)) (PI.f64))))))
(.f64 (/.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))) (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 9 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) (PI.f64)))))
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))) #s(literal 3 binary64)))) (.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) (PI.f64))) (.f64 (pow.f64 #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64))) #s(literal 2 binary64)) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal 9 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) (PI.f64)) (fma.f64 (pow.f64 #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64))) #s(literal 2 binary64)) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.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 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 v v)) (PI.f64))))))))
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 #s(literal 9 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) (PI.f64))) (.f64 (pow.f64 #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64))) #s(literal 2 binary64)) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) (PI.f64))) (.f64 (pow.f64 #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64))) #s(literal 2 binary64)) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 v v)) (PI.f64)))))))
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))) (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.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 9 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) (PI.f64))) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))) (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))))))
(/.f64 (.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))) (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))) (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 9 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) (PI.f64))) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))) (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))))))))
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 v v)) (PI.f64)))))))))
(/.f64 #s(literal -4 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 v v)) (PI.f64)))))))
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 v v)) (PI.f64))))))))
(/.f64 #s(literal 4 binary64) (fma.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 v v)) (PI.f64))))))
(neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 v v)) (PI.f64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 9 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) (PI.f64))) (-.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))))) (/.f64 (.f64 (.f64 #s(literal 9 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) (PI.f64))) (-.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64))))))) (.f64 (/.f64 (.f64 (pow.f64 #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64))) #s(literal 2 binary64)) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))))) (/.f64 (.f64 (pow.f64 #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64))) #s(literal 2 binary64)) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))))))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 9 binary64) (PI.f64)) (.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) (PI.f64))) (-.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))))) (/.f64 (.f64 (pow.f64 #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64))) #s(literal 2 binary64)) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 v v)) (PI.f64))))))))
(/.f64 (-.f64 (.f64 (pow.f64 #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64))) #s(literal 2 binary64)) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) (PI.f64)))) (.f64 #s(literal 3 binary64) (sqrt.f64 (PI.f64)))) (.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) (PI.f64)))) (.f64 #s(literal 3 binary64) (sqrt.f64 (PI.f64)))))) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64))) (.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) (PI.f64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (PI.f64))))))
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(.f64 (fabs.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.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)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.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 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(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 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 8 binary64) (.f64 #s(literal 216 binary64) (pow.f64 v #s(literal 6 binary64)))))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal 12 binary64) (.f64 v v) (*.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 4 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 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 6 binary64) (.f64 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 #s(literal -6 binary64) (*.f64 v v)) #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 12 binary64) (.f64 v v) (*.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)))) #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 #s(literal -6 binary64) (*.f64 v v)) #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 12 binary64) (.f64 v v) (*.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)))) #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 #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))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
(.f64 (fabs.f64 (.f64 #s(literal -6 binary64) (neg.f64 v))) v)
(.f64 (fabs.f64 (.f64 #s(literal -6 binary64) v)) v)
(.f64 (fabs.f64 (.f64 #s(literal 6 binary64) (neg.f64 v))) v)
(.f64 (fabs.f64 (.f64 #s(literal 6 binary64) v)) v)
(.f64 (.f64 #s(literal 6 binary64) (neg.f64 v)) (neg.f64 v))
(.f64 (.f64 #s(literal 6 binary64) v) v)
(.f64 #s(literal 6 binary64) (.f64 v v))
(.f64 (neg.f64 v) (.f64 (neg.f64 v) #s(literal 6 binary64)))
(.f64 (.f64 v v) #s(literal 6 binary64))
(.f64 v (fabs.f64 (.f64 (neg.f64 v) #s(literal -6 binary64))))
(.f64 v (fabs.f64 (.f64 #s(literal -6 binary64) v)))
(.f64 v (fabs.f64 (.f64 (neg.f64 v) #s(literal 6 binary64))))
(.f64 v (fabs.f64 (.f64 #s(literal 6 binary64) v)))
(.f64 v (.f64 #s(literal 6 binary64) v))
(sqrt.f64 (*.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 #s(literal -6 binary64) (.f64 v v))))
(fabs.f64 (neg.f64 (.f64 #s(literal 6 binary64) (.f64 v v))))
(fabs.f64 (.f64 #s(literal -6 binary64) (.f64 v v)))
(fabs.f64 (.f64 #s(literal 6 binary64) (.f64 v v)))
(.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.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)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.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 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(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 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 8 binary64) (.f64 #s(literal 216 binary64) (pow.f64 v #s(literal 6 binary64)))))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal 12 binary64) (.f64 v v) (*.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 4 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 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 6 binary64) (.f64 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 #s(literal -6 binary64) (*.f64 v v)) #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 12 binary64) (.f64 v v) (*.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)))) #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 #s(literal -6 binary64) (*.f64 v v)) #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 12 binary64) (.f64 v v) (*.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)))) #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 #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))))

eval199.0ms (2.7%)

Memory: 1.5MiB live, 342.2MiB allocated; 35ms collecting garbage
Compiler: Compiled 58 207 to 4 646 computations (92% saved)

prune26.0ms (0.3%)

Memory

-1.0MiB live, 92.8MiB allocated; 3ms collecting garbage

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 138	4	1 142
Fresh	0	1	1
Picked	3	2	5
Done	1	3	4
Total	1 142	10	1 152

Accuracy

100.0%

Counts

1 152 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.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 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 3 binary64)) (PI.f64))))
	100.0%	(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 3 binary64)) (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
	98.2%	(/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(approx ( (+ (* v v) 1) (PI)) (PI.f64)))
	98.4%	(/.f64 #s(literal 4 binary64) (fma.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.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))))))
✓	96.7%	(/.f64 #s(literal 4 binary64) (.f64 (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)))))
	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 3 binary64)) (PI.f64)))))
✓	97.5%	(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 (.f64 (PI.f64) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))))
✓	98.2%	(/.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)))))
✓	98.1%	(/.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))))
✓	96.6%	#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 880 to 357 computations (59.4% saved)

regimes72.0ms (1%)

Memory

8.3MiB live, 54.8MiB allocated; 4ms collecting garbage

Counts

22 → 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 (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 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(approx ( (+ (* v v) 1) (PI)) (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) (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 #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 3 binary64)) (PI.f64)))))
(/.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 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 3 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)))) #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 3 binary64)) (PI.f64))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 (.f64 (PI.f64) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #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 (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) (fma.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.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) (fma.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 ( (* (* (PI) 3) v) (neg v)) (.f64 (.f64 (.f64 v v) (PI.f64)) #s(literal -3 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(/.f64 #s(literal 4 binary64) (fma.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 #s(literal 4 binary64) (fma.f64 (.f64 (.f64 (neg.f64 v) (PI.f64)) (.f64 #s(literal 3 binary64) v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (.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) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 (.f64 (PI.f64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 #s(approx (* (* (* (PI) 3) v) (neg v)) (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (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 (.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 #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)))

Outputs

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

Calls

4 calls:

56.0ms	(.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)))))
6.0ms	v
5.0ms	(*.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)

regimes15.0ms (0.2%)

Memory

26.8MiB live, 26.8MiB allocated; 0ms collecting garbage

Counts

16 → 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 (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 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(approx ( (+ (* v v) 1) (PI)) (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) (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 #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 3 binary64)) (PI.f64)))))
(/.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 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 3 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)))) #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 3 binary64)) (PI.f64))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 (.f64 (PI.f64) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 9/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #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 (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) (fma.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx ( (* (* (PI) 3) v) (neg v)) (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.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 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 3 binary64)) (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))

Calls

4 calls:

4.0ms	v
4.0ms	(*.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)))))
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))))))

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)

regimes14.0ms (0.2%)

Memory

-26.4MiB live, 28.0MiB allocated; 5ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

6.0ms	v
3.0ms	(*.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
98.5%	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)

regimes9.0ms (0.1%)

Memory

23.8MiB live, 23.8MiB 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 (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 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(approx ( (+ (* v v) 1) (PI)) (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) (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))))

Outputs
(/.f64 (/.f64 #s(literal 4 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))))

Calls

4 calls:

3.0ms	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))))))
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)))))

Results

Accuracy	Segments	Branch
98.2%	1	`(*.f64 v v)`
98.2%	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)))))`
98.2%	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))))))`
98.2%	1	`v`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes11.0ms (0.1%)

Memory

-28.2MiB live, 18.1MiB allocated; 3ms 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 (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 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(approx ( (+ (* v v) 1) (PI)) (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:

5.0ms	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))))))
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)))))

Results

Accuracy	Segments	Branch
98.2%	1	`(*.f64 v v)`
98.2%	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)))))`
98.2%	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))))))`
98.2%	1	`v`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes5.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms 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:

1.0ms	v
1.0ms	(*.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)))))
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))))))

Results

Accuracy	Segments	Branch
98.1%	1	`(*.f64 v v)`
98.1%	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)))))`
98.1%	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))))))`
98.1%	1	`v`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes4.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB 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	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)
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
96.6%	1	`(*.f64 v v)`
96.6%	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)))))`
96.6%	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))))))`
96.6%	1	`v`

Compiler

Compiled 42 to 33 computations (21.4% saved)

simplify124.0ms (1.7%)

Memory

-24.0MiB live, 69.3MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	185
1	106	185
2	260	185
3	765	185
4	1762	185
5	3172	185
6	4363	185
7	5315	185
8	6322	185
9	7113	185
10	7461	185
11	7572	185
12	7897	185

Stop Event

1×	node limit

Calls

Call 1

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

derivations861.0ms (11.7%)

Memory

9.0MiB live, 892.4MiB allocated; 105ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	584	4882
1	2176	4124
0	9032	3940
0	69	423
0	114	415
1	331	381
2	2141	381
0	9285	375
0	53	342
0	89	338
1	289	334
2	1684	334
0	8333	329
0	200	1153
1	719	922
2	3715	805
0	8274	788
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×	iter limit
1×	node limit

Compiler

Compiled 185 to 69 computations (62.7% saved)

preprocess114.0ms (1.5%)

Memory: 14.1MiB live, 193.9MiB allocated; 26ms collecting garbage
Remove: (abs v)
Compiler: Compiled 484 to 216 computations (55.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze4.0ms (0%)

sample1.5s (19.9%)

explain233.0ms (3.2%)

preprocess240.0ms (3.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify116.0ms (1.6%)

localize41.0ms (0.6%)

series26.0ms (0.4%)

simplify189.0ms (2.6%)

rewrite278.0ms (3.8%)

eval61.0ms (0.8%)

prune23.0ms (0.3%)

simplify147.0ms (2%)

localize195.0ms (2.6%)

series31.0ms (0.4%)

simplify207.0ms (2.8%)

rewrite250.0ms (3.4%)

eval350.0ms (4.7%)

prune32.0ms (0.4%)

simplify216.0ms (2.9%)

localize142.0ms (1.9%)

series19.0ms (0.3%)

simplify244.0ms (3.3%)

rewrite249.0ms (3.4%)

eval234.0ms (3.2%)

prune35.0ms (0.5%)

simplify196.0ms (2.7%)

localize206.0ms (2.8%)

series49.0ms (0.7%)

simplify222.0ms (3%)

rewrite228.0ms (3.1%)

eval199.0ms (2.7%)

prune26.0ms (0.3%)

regimes72.0ms (1%)

regimes15.0ms (0.2%)

regimes14.0ms (0.2%)

regimes9.0ms (0.1%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

simplify124.0ms (1.7%)

derivations861.0ms (11.7%)

preprocess114.0ms (1.5%)

end0.0ms (0%)

Profiling