Metrics for Falkner and Boettcher, Equation (22+)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze4.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

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)

sample1.1s (18%)

Memory

-6.0MiB live, 1 848.1MiB allocated

Samples

833.0ms	8 256×	0	valid
0.0ms	4×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 650.0ms

ival-mult: 300.0ms (46.1% of total)

ival-sub: 139.0ms (21.4% of total)

ival-sqrt: 77.0ms (11.8% of total)

ival-div: 55.0ms (8.5% of total)

ival-pi: 52.0ms (8% of total)

exact: 18.0ms (2.8% of total)

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

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

Bogosity

explain167.0ms (2.6%)

Memory

-4.8MiB live, 315.5MiB allocated

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

56.0ms

512×

valid

Compiler

Compiled 279 to 68 computations (75.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 16.0ms (42.9% of total)

ival-sub: 10.0ms (26.8% of total)

ival-sqrt: 4.0ms (10.7% of total)

ival-div: 3.0ms (8% of total)

ival-pi: 2.0ms (5.4% of total)

ival-true: 1.0ms (2.7% of total)

exact: 1.0ms (2.7% of total)

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

preprocess155.0ms (2.4%)

Memory

26.1MiB live, 185.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	40
1	59	37
2	176	36
3	654	36
4	2038	36
5	4182	36
6	6384	36
7	7270	36
0	16	20
0	26	20
1	51	18
2	118	18
3	318	18
4	896	18
5	1509	18
6	2857	18
7	5680	18
8	7756	18
0	8271	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 (/.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)))

Symmetry

(abs v)

Compiler

Compiled 20 to 16 computations (20% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

98.5%

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

Compiler

Compiled 20 to 16 computations (20% saved)

simplify111.0ms (1.7%)

Memory

6.4MiB live, 124.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 3 binary64) (PI.f64))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
cost-diff	128	(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
cost-diff	128	(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	85
0	26	85
1	51	83
2	118	83
3	318	83
4	896	83
5	1509	83
6	2857	83
7	5680	83
8	7756	83
0	8271	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 (/.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)))
#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 (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)) #s(literal -3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) #s(literal -3 binary64))
(*.f64 #s(literal 3 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(literal 6 binary64) (.f64 v v))
#s(literal 6 binary64)

localize46.0ms (0.7%)

Memory

-4.8MiB live, 75.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
accuracy	0.029628759768442016	(.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	0.21941376953688402	(.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

36.0ms

256×

valid

Compiler

Compiled 172 to 34 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 15.0ms (61.2% of total)

ival-sub: 4.0ms (16.3% of total)

ival-div: 2.0ms (8.2% of total)

ival-sqrt: 2.0ms (8.2% of total)

ival-pi: 1.0ms (4.1% of total)

exact: 1.0ms (4.1% of total)

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

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

series13.0ms (0.2%)

Memory

-19.3MiB live, 18.9MiB allocated

Counts

7 → 45

Calls

Call 1

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

Outputs
(* 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))))))))))
(* 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))))))))))
(* 6 (pow v 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))))))
(* -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))))
(/ (+ (* -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))
(* 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 (/ (+ (* -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 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)))
(* -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
4.0ms	v	@	inf	((* (* 3 (PI)) (- 1 (* v v))) (- 2 (* 6 (* v v))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* 3 (PI)) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* 6 (* v v)) (sqrt (- 2 (* 6 (* v v)))))
3.0ms	v	@	0	((* (* 3 (PI)) (- 1 (* v v))) (- 2 (* 6 (* v v))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* 3 (PI)) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* 6 (* v v)) (sqrt (- 2 (* 6 (* v v)))))
2.0ms	v	@	-inf	((* (* 3 (PI)) (- 1 (* v v))) (- 2 (* 6 (* v v))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* 3 (PI)) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* 6 (* v v)) (sqrt (- 2 (* 6 (* v v)))))

Time

Variable

Point

Expression

4.0ms

inf

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

3.0ms

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

2.0ms

-inf

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

simplify305.0ms (4.8%)

Memory

-199.8MiB live, 205.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	241	1377
1	747	1197
2	2954	1132
0	8220	1086

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 45

Calls

Call 1

Inputs
(* 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))))))))))
(* 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))))))))))
(* 6 (pow v 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))))))
(* -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))))
(/ (+ (* -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))
(* 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 (/ (+ (* -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 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)))
(* -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))
(*.f64 (PI.f64) #s(literal 3 binary64))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
(.f64 (PI.f64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #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)))
(* 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 #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))) #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 v v) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 27/16 binary64) (PI.f64)) (.f64 (fma.f64 v v #s(literal 1 binary64)) (+.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 (+ (* 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 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 135/16 binary64) (PI.f64)) (/.f64 #s(literal 27/8 binary64) (PI.f64)))) (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) (+.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 #s(literal 9/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (.f64 (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))) #s(literal 4/3 binary64)))
(* 6 (pow v 2))
(.f64 #s(literal 6 binary64) (.f64 v v))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(fma.f64 (/.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) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (fma.f64 #s(literal -9/4 binary64) (.f64 v (/.f64 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 (fma.f64 (fma.f64 (.f64 v (/.f64 v (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal -27/2 binary64) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #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)))
(* -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 (PI.f64) (+.f64 (/.f64 #s(literal 3 binary64) (.f64 v v)) #s(literal -3 binary64))) 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 (fma.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)) #s(literal 3 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) #s(literal -3 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))) (/ (PI) (sqrt -6))) (pow v 4))))))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64) (.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))) (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 (fma.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64) (.f64 #s(literal 3 binary64) (+.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 (/.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 (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))))))) (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)))
(/ (+ (* -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 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 v v)) #s(literal 4/3 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -4/3 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))))) (pow v 3))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -4/3 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) v) (/.f64 #s(literal 4/3 binary64) v) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) #s(literal 4/3 binary64) (/.f64 #s(literal 1/108 binary64) (*.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 (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 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (+.f64 (/.f64 #s(literal 5/1296 binary64) (PI.f64)) (/.f64 #s(literal 1/72 binary64) (PI.f64))) (-.f64 (/.f64 #s(literal 1/36 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 (/.f64 #s(literal 1/144 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)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 v v))))) (pow.f64 v #s(literal 3 binary64)))
(* v (sqrt -6))
(*.f64 (sqrt.f64 #s(literal -6 binary64)) v)
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(fma.f64 (sqrt.f64 #s(literal -6 binary64)) v (/.f64 v (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) v) v)))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v) v)) (sqrt.f64 #s(literal -6 binary64)))) v)
(* 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 (fma.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v) v))) (sqrt.f64 #s(literal -6 binary64)))) 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)))
(* -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))) (fma.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)) #s(literal 3 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) #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 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64) (.f64 (+.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))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64) (.f64 #s(literal 3 binary64) (+.f64 (/.f64 (.f64 #s(literal 11/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (+.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 (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))))))))
(* 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 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 v v)) #s(literal 4/3 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -4/3 binary64))) (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 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -4/3 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) v) (/.f64 #s(literal 4/3 binary64) v) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) #s(literal 4/3 binary64) (/.f64 #s(literal 1/108 binary64) (*.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 (/ (+ (* -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 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (+.f64 (/.f64 #s(literal 5/1296 binary64) (PI.f64)) (/.f64 #s(literal 1/72 binary64) (PI.f64))) (-.f64 (/.f64 #s(literal 1/36 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 (/.f64 #s(literal 1/144 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)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 v v))))) (neg.f64 (pow.f64 v #s(literal 3 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))))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) v (/.f64 v (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) v) v))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(.f64 (neg.f64 v) (fma.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v) v)) (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) (fma.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v) v))) (sqrt.f64 #s(literal -6 binary64)))))

rewrite155.0ms (2.4%)

Memory

21.7MiB live, 215.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	70
0	26	70
1	101	68
2	626	68
3	5773	68
0	8441	61

Stop Event

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

Counts

7 → 509

Calls

Call 1

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

Outputs
(.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 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 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)) (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 (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (PI.f64))
(.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 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.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 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)) (PI.f64))
(.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 (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)) (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 4 binary64))) (.f64 (pow.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 3 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (.f64 (pow.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 3 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 (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)) (PI.f64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)) (PI.f64)))
(.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 v v #s(literal 1 binary64)))
(.f64 (PI.f64) (.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64))))
(.f64 (PI.f64) (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)))
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(/.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 (pow.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) #s(literal 3/4 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1/4 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 #s(literal -1 binary64) (.f64 (neg.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)) #s(literal 3/4 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 (/.f64 (/.f64 #s(literal 1/3 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)))) #s(literal 1/4 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))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 3 binary64)) (PI.f64)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) #s(literal 3/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) #s(literal 3/4 binary64)) (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))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(neg.f64 (.f64 #s(literal 1 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))))))
(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 #s(literal 0 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)))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) #s(literal 3/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 6 binary64) v) 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 (.f64 #s(literal 6 binary64) v))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))
(.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 (sqrt.f64 (fma.f64 #s(literal -36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal 6 binary64) (.f64 v v) #s(literal 2 binary64)) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 6 binary64) (.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (pow.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 12 binary64) v) v (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (pow.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))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (pow.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))) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal -36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 12 binary64) v) v (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 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 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 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 (fma.f64 #s(literal -36 binary64) (pow.f64 v #s(literal 4 binary64)) #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 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 12 binary64) v) v (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -4 binary64) (.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 #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 (neg.f64 (fma.f64 (.f64 #s(literal 12 binary64) v) v (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (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 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (-.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -12 binary64) (.f64 v v)))))
(/.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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal -36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 12 binary64) v) v (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (log.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.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)))
(exp.f64 (.f64 (log.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)))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 1/2 binary64)))

eval78.0ms (1.2%)

Memory: -2.6MiB live, 156.4MiB allocated
Compiler: Compiled 16 075 to 2 065 computations (87.2% saved)

prune17.0ms (0.3%)

Memory

-0.3MiB live, 41.3MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	545	9	554
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	546	9	555

Accuracy

100.0%

Counts

555 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) #s(literal 3 binary64) (.f64 (.f64 (.f64 (.f64 (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 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
▶	51.9%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 #s(approx (- 2 (* 6 (* v v))) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)))))
▶	98.5%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 3 binary64)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
	97.6%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
	98.3%	(/.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))))
▶	99.0%	(/.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)))))
	98.3%	#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (.f64 (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))) #s(literal 4/3 binary64)))
▶	97.5%	#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 516 to 388 computations (24.8% saved)

simplify97.0ms (1.5%)

Memory

8.1MiB live, 122.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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))) (PI.f64))
cost-diff	128	(.f64 (.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v))
cost-diff	1984	(fma.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) #s(literal 3 binary64) (.f64 (.f64 (.f64 (.f64 (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 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 #s(approx (- 2 (* 6 (* v v))) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v))))
cost-diff	128	(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff	448	(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 v v)) #s(literal 6 binary64)) v)
cost-diff	704	(.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)
cost-diff	0	(.f64 (PI.f64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 3 binary64)))
cost-diff	0	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 3 binary64))))
cost-diff	0	(.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 3 binary64)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
cost-diff	128	(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
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	(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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	503
0	101	488
1	188	470
2	377	455
3	1000	455
4	2340	433
5	3365	433
6	5520	433
0	8151	429

Stop Event

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

Calls

Call 1

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

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

localize164.0ms (2.6%)

Memory

-11.6MiB live, 263.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(.f64 (.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) v) (neg.f64 v))
accuracy	0.2265625	(.f64 (.f64 (PI.f64) #s(literal 3 binary64)) v)
accuracy	0.285820019536884	(.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	0.96875	(/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) #s(literal 3 binary64) (.f64 (.f64 (.f64 (.f64 (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	0.12890625	(.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)
accuracy	0.1640625	(/.f64 #s(literal 2 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 #s(approx (- 2 (* 6 (* v v))) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)))))
accuracy	29.213622471821466	(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 v v)) #s(literal 6 binary64)) v)
accuracy	0.01171875	(.f64 (PI.f64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 3 binary64)))
accuracy	0.029628759768442016	(.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 3 binary64)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
accuracy	0.21941376953688402	(.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 (.f64 v v) #s(literal -3 binary64) #s(literal 3 binary64)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
accuracy	0	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	0	(PI.f64)
accuracy	0.6239213001411442	#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	1.0	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
accuracy	0.0078125	(.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
accuracy	0.0078125	(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
accuracy	0.0234375	(/.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	0.0234375	(*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))

Samples

123.0ms

256×

valid

Compiler

Compiled 946 to 112 computations (88.2% saved)

Precisions

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

ival-mult: 38.0ms (55.9% of total)

ival-div: 7.0ms (10.3% of total)

ival-sqrt: 6.0ms (8.8% of total)

ival-add: 5.0ms (7.4% of total)

const: 4.0ms (5.9% of total)

ival-sub: 3.0ms (4.4% of total)

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

exact: 1.0ms (1.5% of total)

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

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

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

series31.0ms (0.5%)

Memory

14.5MiB live, 51.7MiB allocated

Counts

28 → 123

Calls

Call 1

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

Outputs
(* (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))
(* 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))))
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(+ (* 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))))))))))
2
(+ 2 (* -6 (pow v 2)))
(* 3 (* (PI) (sqrt 2)))
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(* 3 (PI))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
(/ 2 v)
(/ (+ 2 (* -6 (pow v 2))) v)
(+ (* 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)))))))))
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(* -3 (* (pow v 2) (PI)))
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(sqrt 2)
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(* 6 (pow v 2))
(/ 2 (pow v 2))
(/ 4/3 (* (PI) (sqrt 2)))
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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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(* 3 (* v (PI)))
(* (pow v 3) (* (PI) (sqrt -6)))
(* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))
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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))))
(* -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))
(* -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)))))))
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))
(* -6 v)
(* v (- (* 2 (/ 1 (pow v 2))) 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))))))))))
(* v (* (PI) (sqrt -6)))
(* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* 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))
(/ -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))
(* (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))))))))
(* -1 (* (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 (/ (+ (* -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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(* 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))))))
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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 (- 6 (* 2 (/ 1 (pow v 2))))))
(* -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 (* v (* (PI) (sqrt -6))))
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(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))
(* -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)))
(/ 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)))
(* -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
12.0ms	v	@	inf	((* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (* (+ (* v v) 1) (PI)) (+ (* v v) 1) (PI) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (/ (sqrt 1/2) (PI)) 4/3) (/ (sqrt 1/2) (PI)) (sqrt 1/2) (- 2 (* 6 (* v v))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (* 3 (PI)) (- 1 (* v v))) (* (PI) (+ (* (* v v) -3) 3)) (* (* (- (/ 2 (* v v)) 6) v) v) (* (- (/ 2 (* v v)) 6) v) (* (* 3 (PI)) (- 1 (* v v))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (+ (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) 3) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (* (PI) 3) v) (neg v)) (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) (sqrt (+ (* -6 (* v v)) 2)) (/ 4/3 (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* 6 (* v v)) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/ 2 (* v v)) (/ 4 (+ (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) 3) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2))))) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2))) (* (* (PI) 3) v))
8.0ms	v	@	0	((* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (* (+ (* v v) 1) (PI)) (+ (* v v) 1) (PI) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (/ (sqrt 1/2) (PI)) 4/3) (/ (sqrt 1/2) (PI)) (sqrt 1/2) (- 2 (* 6 (* v v))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (* 3 (PI)) (- 1 (* v v))) (* (PI) (+ (* (* v v) -3) 3)) (* (* (- (/ 2 (* v v)) 6) v) v) (* (- (/ 2 (* v v)) 6) v) (* (* 3 (PI)) (- 1 (* v v))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (+ (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) 3) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (* (PI) 3) v) (neg v)) (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) (sqrt (+ (* -6 (* v v)) 2)) (/ 4/3 (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* 6 (* v v)) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/ 2 (* v v)) (/ 4 (+ (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) 3) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2))))) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2))) (* (* (PI) 3) v))
7.0ms	v	@	-inf	((* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (* (+ (* v v) 1) (PI)) (+ (* v v) 1) (PI) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (/ (sqrt 1/2) (PI)) 4/3) (/ (sqrt 1/2) (PI)) (sqrt 1/2) (- 2 (* 6 (* v v))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (* 3 (PI)) (- 1 (* v v))) (* (PI) (+ (* (* v v) -3) 3)) (* (* (- (/ 2 (* v v)) 6) v) v) (* (- (/ 2 (* v v)) 6) v) (* (* 3 (PI)) (- 1 (* v v))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (+ (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) 3) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (* (PI) 3) v) (neg v)) (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) (sqrt (+ (* -6 (* v v)) 2)) (/ 4/3 (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* 6 (* v v)) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/ 2 (* v v)) (/ 4 (+ (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) 3) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2))))) (* (* (* (* (PI) 3) v) (neg v)) (sqrt (+ (* -6 (* v v)) 2))) (* (* (PI) 3) v))

Time

Variable

Point

Expression

12.0ms

inf

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

8.0ms

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

7.0ms

-inf

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

simplify187.0ms (2.9%)

Memory

19.9MiB live, 254.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	568	4724
1	1913	4213
0	8398	3998

Stop Event

1×	iter limit
1×	node limit

Counts

123 → 123

Calls

Call 1

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

rewrite206.0ms (3.2%)

Memory

-50.9MiB live, 334.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	371
0	101	365
1	338	339
2	2088	339
0	8306	335

Stop Event

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

Counts

28 → 723

Calls

Call 1

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

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

eval299.0ms (4.7%)

Memory: 34.1MiB live, 307.0MiB allocated
Compiler: Compiled 40 847 to 4 773 computations (88.3% saved)

prune35.0ms (0.6%)

Memory

3.5MiB live, 78.5MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1 127	5	1 132
Fresh	3	1	4
Picked	3	2	5
Done	0	0	0
Total	1 133	8	1 141

Accuracy

100.0%

Counts

1 141 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
▶	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (PI.f64))))
✓	51.9%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 #s(approx (- 2 (* 6 (* v v))) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)))))
▶	98.5%	(/.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 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 3 binary64)) (PI.f64)))))
▶	97.6%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
▶	99.1%	(/.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)))))
▶	99.0%	(/.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))))
✓	97.5%	#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 323 to 263 computations (18.6% saved)

simplify168.0ms (2.6%)

Memory

-33.9MiB live, 95.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 v v))
cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
cost-diff	128	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (PI.f64)))
cost-diff	320	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (PI.f64))))
cost-diff	0	(*.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 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #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))))
cost-diff	0	(*.f64 (PI.f64) #s(literal 3 binary64))
cost-diff	0	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff	0	(.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))
cost-diff	128	(-.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	(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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	397
0	82	393
1	144	393
2	246	391
3	496	384
4	1214	384
5	1770	384
6	3135	384
7	5980	384
8	7919	384
0	8111	378

Stop Event

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

Calls

Call 1

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

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

localize183.0ms (2.9%)

Memory

3.2MiB live, 200.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy	0.015625	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (PI.f64)))
accuracy	0.01953125	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy	0.96875	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (PI.f64))))
accuracy	0.0078125	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy	0.01171875	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 3 binary64)) (PI.f64))
accuracy	0.029628759768442016	(.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #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))))
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 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 3 binary64)) (PI.f64)))))
accuracy	0.029628759768442016	(.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))
accuracy	0.21941376953688402	(.f64 #s(literal 6 binary64) (.f64 v v))
accuracy	0.5716982761239391	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
accuracy	0.96875	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	(PI.f64)
accuracy	0.0234375	(/.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	0.5327093592083049	#s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
accuracy	0.0078125	(.f64 #s(approx ( (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
accuracy	0.0078125	(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
accuracy	0.0234375	(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
accuracy	0.5896467124944219	#s(approx (* (+ (* v v) 1) (PI)) (PI.f64))

Samples

100.0ms

256×

valid

Compiler

Compiled 760 to 96 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 22.0ms (45.4% of total)

ival-sqrt: 7.0ms (14.5% of total)

ival-div: 6.0ms (12.4% of total)

ival-add: 5.0ms (10.3% of total)

const: 4.0ms (8.3% of total)

ival-sub: 2.0ms (4.1% of total)

ival-pi: 1.0ms (2.1% of total)

exact: 1.0ms (2.1% of total)

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

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

series11.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

25 → 86

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

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

3.0ms

inf

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

2.0ms

-inf

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

simplify224.0ms (3.5%)

Memory

11.4MiB live, 208.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	393	2848
1	1260	2462
2	5093	2335
0	8707	2261

Stop Event

1×	iter limit
1×	node limit

Counts

86 → 86

Calls

Call 1

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

Outputs
(* (PI) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(fma.f64 (.f64 (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)))
(+ (* (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 (PI.f64) (+.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -21/4 binary64)) v) v)) (.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 (.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 -21/4 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) (*.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))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(fma.f64 (*.f64 v (/.f64 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 (fma.f64 #s(literal -9/4 binary64) (.f64 v (/.f64 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 (fma.f64 (fma.f64 (.f64 v (/.f64 v (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal -27/2 binary64) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #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 (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))) #s(literal 4/3 binary64))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))))))
(.f64 #s(literal 4/3 binary64) (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (.f64 v v) (-.f64 (/.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 (+ (* -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 (.f64 #s(literal 4/3 binary64) (fma.f64 (fma.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 135/32 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 #s(literal -27/16 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 27/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (.f64 v v) (-.f64 (/.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)))
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #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 (PI.f64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/4 binary64)) v) v)) (.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 (PI.f64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.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 v v)))
(* 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)))
(pow v 2)
(*.f64 v v)
(+ (* 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 #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))) #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)))))))
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(* -1 (pow v 2))
(*.f64 (neg.f64 v) v)
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* -1 (* (pow v 3) (* (PI) (sqrt -6))))
(.f64 (neg.f64 (PI.f64)) (.f64 (sqrt.f64 #s(literal -6 binary64)) (pow.f64 v #s(literal 3 binary64))))
(* -1 (* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (/.f64 (PI.f64) (.f64 v v)) (PI.f64)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (/.f64 (PI.f64) (.f64 v v)) (PI.f64)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))))))
(* -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 1/12 binary64) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))) (fma.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal -6 binary64)))) (+.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (/.f64 (PI.f64) (.f64 v v)) (PI.f64)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64)))))))
(* -1 (* v (sqrt -6)))
(*.f64 (neg.f64 v) (sqrt.f64 #s(literal -6 binary64)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) v (/.f64 (/.f64 v (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(.f64 (neg.f64 v) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64)))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(.f64 (neg.f64 v) (-.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v))) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 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 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 3 binary64))) #s(literal -4/3 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 #s(literal -4/3 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.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 4 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 v v))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 3 binary64))))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 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 (.f64 #s(literal 4/3 binary64) (+.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.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 4 binary64)))) (+.f64 (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/144 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal -5/2592 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.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 -1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 v v))))) (neg.f64 (pow.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 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.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)) #s(literal 3 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) #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 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64) (.f64 (+.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))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -6 binary64))) (PI.f64) (.f64 #s(literal 3 binary64) (+.f64 (+.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 (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 (.f64 #s(literal 11/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 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 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 v v)) #s(literal 4/3 binary64) (*.f64 #s(literal -4/3 binary64) (/.f64 (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 (/ (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 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) v) (/.f64 #s(literal 4/3 binary64) v) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) #s(literal 4/3 binary64) (/.f64 #s(literal 1/108 binary64) (*.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 (/ (+ (* -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 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (+.f64 (/.f64 #s(literal 5/1296 binary64) (PI.f64)) (/.f64 #s(literal 1/72 binary64) (PI.f64))) (-.f64 (/.f64 #s(literal 1/36 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 (+.f64 (/.f64 #s(literal 1/144 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)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 v v)))))) (neg.f64 (pow.f64 v #s(literal 3 binary64))))
(* (pow v 3) (sqrt -6))
(*.f64 (sqrt.f64 #s(literal -6 binary64)) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (-.f64 (-.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) v) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v))))
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (-.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) v) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v))))
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (-.f64 (-.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) v) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v))))

rewrite190.0ms (3%)

Memory

-7.7MiB live, 188.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	307
0	82	304
1	268	304
2	1424	304
0	8625	299

Stop Event

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

Counts

25 → 932

Calls

Call 1

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

Outputs
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(fma.f64 #s(literal 3 binary64) (PI.f64) (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64))))
(fma.f64 #s(literal 3 binary64) (PI.f64) (.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 #s(literal -3 binary64) (.f64 v v)))))
(fma.f64 #s(literal 3 binary64) (PI.f64) (.f64 (.f64 #s(literal -3 binary64) (*.f64 v v)) (PI.f64)))
(fma.f64 #s(literal 3 binary64) (PI.f64) (.f64 (PI.f64) (.f64 #s(literal -3 binary64) (*.f64 v v))))
(fma.f64 (PI.f64) (.f64 #s(literal -3 binary64) (.f64 v v)) (*.f64 #s(literal 3 binary64) (PI.f64)))
(fma.f64 (PI.f64) #s(literal 3 binary64) (.f64 (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)) #s(literal 1 binary64)))
(fma.f64 (PI.f64) #s(literal 3 binary64) (.f64 (.f64 (PI.f64) (.f64 #s(literal -3 binary64) (.f64 v v))) #s(literal 1 binary64)))
(fma.f64 (PI.f64) #s(literal 3 binary64) (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64))))
(fma.f64 (PI.f64) #s(literal 3 binary64) (.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 #s(literal -3 binary64) (.f64 v v)))))
(fma.f64 (PI.f64) #s(literal 3 binary64) (.f64 (.f64 #s(literal -3 binary64) (*.f64 v v)) (PI.f64)))
(fma.f64 (PI.f64) #s(literal 3 binary64) (.f64 (PI.f64) (.f64 #s(literal -3 binary64) (*.f64 v v))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)) (.f64 #s(literal 3 binary64) (PI.f64)))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 #s(literal -3 binary64) (.f64 v v))) (.f64 #s(literal 3 binary64) (PI.f64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (.f64 (.f64 #s(literal -3 binary64) (*.f64 v v)) (PI.f64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (.f64 #s(literal -3 binary64) (*.f64 v v))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -3 binary64) (*.f64 v v)) (PI.f64))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 #s(literal -3 binary64) (*.f64 v v)))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (PI.f64) (.f64 #s(literal -3 binary64) (.f64 v v))))
(+.f64 (.f64 (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (PI.f64)))
(+.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal -3 binary64) (.f64 v v))) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64))) (*.f64 #s(literal 3 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 #s(literal -3 binary64) (.f64 v v)))) (*.f64 #s(literal 3 binary64) (PI.f64)))
(+.f64 (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)) (.f64 #s(literal 3 binary64) (PI.f64)))
(+.f64 (.f64 (PI.f64) (.f64 #s(literal -3 binary64) (.f64 v v))) (.f64 #s(literal 3 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (.f64 (.f64 #s(literal -3 binary64) (*.f64 v v)) (PI.f64)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (.f64 #s(literal -3 binary64) (*.f64 v v))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -3 binary64) (*.f64 v v)) (PI.f64))))
(+.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 #s(literal -3 binary64) (*.f64 v v)))))
(+.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) (PI.f64)))
(+.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (PI.f64) (.f64 #s(literal -3 binary64) (.f64 v v))))

eval199.0ms (3.1%)

Memory: 21.6MiB live, 328.4MiB allocated
Compiler: Compiled 35 308 to 4 338 computations (87.7% saved)

prune22.0ms (0.4%)

Memory

-7.0MiB live, 71.6MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 110	4	1 114
Fresh	0	1	1
Picked	1	4	5
Done	1	1	2
Total	1 112	10	1 122

Accuracy

100.0%

Counts

1 122 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
▶	100.0%	(/.f64 (/.f64 #s(literal -4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3 binary64))) (PI.f64))
▶	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
✓	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (PI.f64))))
✓	98.5%	(/.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 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 3 binary64)) (PI.f64)))))
▶	97.6%	(/.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 #s(literal 3 binary64) (PI.f64)))))
✓	99.1%	(/.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)))))
✓	99.0%	(/.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))))
▶	97.6%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx ( (+ (* v v) 1) (PI)) (PI.f64))) #s(literal -3/4 binary64)))
✓	97.5%	#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 326 to 271 computations (16.9% saved)

simplify113.0ms (1.8%)

Memory

3.5MiB live, 128.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
cost-diff	0	(*.f64 v v)
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 v v))
cost-diff	128	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
cost-diff	0	(*.f64 #s(literal 3 binary64) (PI.f64))
cost-diff	0	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
cost-diff	0	(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))))
cost-diff	0	(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
cost-diff	0	(*.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 (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))))
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 (* (+ (* v v) 1) (PI)) (PI.f64)))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx ( (+ (* v v) 1) (PI)) (PI.f64))) #s(literal -3/4 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 v v))
cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
cost-diff	0	(/.f64 (/.f64 #s(literal -4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3 binary64))) (PI.f64))
cost-diff	128	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	416
0	62	416
1	104	408
2	213	408
3	566	408
4	1624	408
5	2568	408
6	4458	408
7	5895	408
8	7416	408
0	8096	393

Stop Event

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

Calls

Call 1

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

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

localize136.0ms (2.1%)

Memory

-16.9MiB live, 154.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
accuracy	0.0078125	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy	0.01171875	(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy	0.96875	(/.f64 #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
accuracy	0.00390625	(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy	0.0078125	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy	0.01171875	(/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))))
accuracy	0.5716982761239391	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
accuracy	0.0078125	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy	0.029628759768442016	(.f64 (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))))
accuracy	0.5716982761239391	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
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 #s(literal 3 binary64) (PI.f64)))))
accuracy	0.0078125	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy	0.015625	(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx ( (+ (* v v) 1) (PI)) (PI.f64))) #s(literal -3/4 binary64))
accuracy	0.5896467124944219	#s(approx (* (+ (* v v) 1) (PI)) (PI.f64))
accuracy	0.96484375	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx ( (+ (* v v) 1) (PI)) (PI.f64))) #s(literal -3/4 binary64)))
accuracy	0.01953125	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy	0.9609375	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3 binary64))
accuracy	0.96484375	(/.f64 (/.f64 #s(literal -4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3 binary64))) (PI.f64))
accuracy	0.96875	(/.f64 #s(literal -4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3 binary64)))

Samples

105.0ms

256×

valid

Compiler

Compiled 825 to 77 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-div: 34.0ms (58.8% of total)

ival-mult: 16.0ms (27.7% of total)

ival-add: 2.0ms (3.5% of total)

ival-sqrt: 2.0ms (3.5% of total)

ival-pi: 1.0ms (1.7% of total)

ival-sub: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

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

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

series18.0ms (0.3%)

Memory

-10.8MiB live, 25.5MiB allocated

Counts

21 → 140

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

8.0ms

inf

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

4.0ms

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

3.0ms

-inf

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

simplify170.0ms (2.7%)

Memory

23.3MiB live, 172.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	596	4605
1	1969	3998
0	8139	3834

Stop Event

1×	iter limit
1×	node limit

Counts

140 → 140

Calls

Call 1

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

Outputs
(* -3 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64))
(+ (* -3 (sqrt 2)) (* -3 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (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))) #s(literal -3 binary64))
(+ (* -3 (sqrt 2)) (* (pow v 2) (+ (* -3 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* -3 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(fma.f64 (.f64 (.f64 #s(literal -3 binary64) v) v) (fma.f64 (-.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64)))
(+ (* -3 (sqrt 2)) (* (pow v 2) (+ (* -3 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* -3 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* -3 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal -3 binary64) v) v) (fma.f64 (-.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 27/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (.f64 v v) (-.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -3 binary64))) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) #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) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))
(.f64 (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))) #s(literal 4/3 binary64))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(fma.f64 (.f64 #s(literal 4/3 binary64) (.f64 v v)) (fma.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.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 (/.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 (/.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) (.f64 v v)) (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 135/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.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 #s(literal 27/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (.f64 v v) (+.f64 (/.f64 #s(literal 27/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.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))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (.f64 v v) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (fma.f64 #s(literal -1 binary64) (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) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (fma.f64 #s(literal -1 binary64) (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) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 27/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (.f64 v v) (-.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 v v) (fma.f64 #s(literal -1 binary64) (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)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* -3/4 (* (PI) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal -3/4 binary64))
(+ (* -3/4 (* (PI) (sqrt 2))) (* -3/4 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2))))))
(.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) v) v (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal -3/4 binary64))
(+ (* -3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/4 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))) (* -3/4 (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))))
(fma.f64 (.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (.f64 (.f64 #s(literal -3/4 binary64) (.f64 v v)) (fma.f64 (.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))) v) v (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))))
(+ (* -3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/4 (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -3/4 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* -3/4 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2))))))))))
(fma.f64 (.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (.f64 (fma.f64 (.f64 #s(literal -3/4 binary64) (.f64 v v)) (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 (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 (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal -3/4 binary64))) (.f64 v v)))
(* (PI) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(fma.f64 (.f64 (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))))))
(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) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) v) v (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 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 (.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 (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 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(fma.f64 (*.f64 v (/.f64 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 (fma.f64 #s(literal -9/4 binary64) (.f64 v (/.f64 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 (fma.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 9/4 binary64) (sqrt.f64 #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)))
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 (fma.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal 3 binary64))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))
(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (.f64 (fma.f64 (.f64 (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 -9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal -3 binary64)))) (*.f64 v v)))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
(fma.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64)))) (.f64 v v) (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 -9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal -3 binary64)))) (.f64 v v)))
(pow v 2)
(*.f64 v v)
(/ 4/3 (PI))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))
(fma.f64 (.f64 (fma.f64 (/.f64 (.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64))) v) v (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(+ (* (pow v 2) (+ (* (pow v 2) (+ (* 4/3 (/ (pow v 2) (PI))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))) (* 4/3 (/ 1 (PI))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 v v) (PI.f64)) #s(literal 4/3 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64))) v) v (/.f64 #s(literal 4/3 binary64) (PI.f64))) (*.f64 v v) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(* 3 (PI))
(*.f64 #s(literal 3 binary64) (PI.f64))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
(.f64 (PI.f64) (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 3 binary64)))
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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)))
(/.f64 (.f64 #s(literal -4/3 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 3 binary64)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))))) (pow v 3)))
(/.f64 (.f64 #s(literal 4/3 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.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 4 binary64))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (*.f64 v v))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (neg.f64 (pow.f64 v #s(literal 3 binary64))))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (PI)))) (pow v 4))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (- (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6)))))) (pow v 3)))
(/.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal -5/2592 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)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (.f64 v v))) #s(literal 4/3 binary64) (.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.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 4 binary64)))))) (neg.f64 (pow.f64 v #s(literal 3 binary64))))

rewrite245.0ms (3.9%)

Memory

-8.9MiB live, 304.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	296
0	62	296
1	201	288
2	1217	288
0	8686	284

Stop Event

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

Counts

21 → 1 275

Calls

Call 1

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

Outputs
(.f64 (.f64 (.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (pow.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 #s(literal -3 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))) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 v v #s(literal -1 binary64)))
(.f64 (.f64 (.f64 #s(literal -3 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))) (+.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 v (-.f64 (pow.f64 v #s(literal 3 binary64)) v) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -3 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)))) (pow.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 #s(literal -3 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 6 binary64)))) (pow.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #s(literal -3 binary64))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (pow.f64 (fma.f64 v (-.f64 (pow.f64 v #s(literal 3 binary64)) v) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (pow.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
(.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 3 binary64))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(.f64 #s(literal 3 binary64) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -3 binary64) (neg.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal -3 binary64))
(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal -3 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (neg.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 #s(literal -3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (fma.f64 (neg.f64 v) v #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (neg.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) #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)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(neg.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal -3 binary64) (pow.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (neg.f64 v) v) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal -3 binary64)))
(fma.f64 (.f64 #s(literal -3 binary64) (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 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (*.f64 (neg.f64 v) v)) #s(literal -3 binary64)))
(fma.f64 (.f64 #s(literal -3 binary64) (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 #s(literal -3 binary64) (.f64 (.f64 (neg.f64 v) v) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(fma.f64 (.f64 #s(literal -3 binary64) (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 #s(literal -3 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (*.f64 (neg.f64 v) v))))
(fma.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (.f64 (neg.f64 v) v) (.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64) (.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (.f64 (neg.f64 v) v)))
(fma.f64 (.f64 (neg.f64 v) v) (.f64 #s(literal -3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(fma.f64 #s(literal -3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (neg.f64 v) v) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal -3 binary64)))
(fma.f64 #s(literal -3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (*.f64 (neg.f64 v) v)) #s(literal -3 binary64)))
(fma.f64 #s(literal -3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 #s(literal -3 binary64) (.f64 (.f64 (neg.f64 v) v) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(fma.f64 #s(literal -3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (*.f64 (neg.f64 v) v))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal -3 binary64) (.f64 (.f64 (.f64 (neg.f64 v) v) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal -3 binary64)))
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(/.f64 #s(literal -4 binary64) (.f64 (neg.f64 (PI.f64)) (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 #s(literal -4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (neg.f64 (PI.f64))))
(/.f64 #s(literal -4 binary64) (.f64 (.f64 (PI.f64) (.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (/.f64 (/.f64 (/.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 3/4 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (/.f64 #s(literal -4 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -3/4 binary64)) (neg.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1/4 binary64)) (.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 1 binary64) (.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3/4 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3/4 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal -3 binary64))))
(neg.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (/.f64 #s(literal -4/3 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))))
(neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (PI.f64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (PI.f64))) (/.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (PI.f64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 3/4 binary64))) #s(literal -1 binary64)))

eval276.0ms (4.3%)

Memory: 11.7MiB live, 488.2MiB allocated
Compiler: Compiled 52 494 to 5 525 computations (89.5% saved)

prune36.0ms (0.6%)

Memory

-19.3MiB live, 104.8MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	1 704	2	1 706
Fresh	0	0	0
Picked	2	3	5
Done	0	5	5
Total	1 706	10	1 716

Accuracy

100.0%

Counts

1 716 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
✓	100.0%	(/.f64 (/.f64 #s(literal -4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -3 binary64))) (PI.f64))
✓	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (PI.f64))))
✓	98.5%	(/.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 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 3 binary64)) (PI.f64)))))
✓	97.6%	(/.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 #s(literal 3 binary64) (PI.f64)))))
	100.0%	(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (PI.f64)))
✓	99.1%	(/.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)))))
✓	99.0%	(/.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))))
	99.1%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal -3/4 binary64)) #s(approx ( (+ (* v v) 1) (PI)) (PI.f64))))
✓	97.5%	#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 729 to 313 computations (57.1% saved)

regimes23.0ms (0.4%)

Memory

5.5MiB live, 43.3MiB allocated

Counts

21 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

7.0ms	v
5.0ms	(*.f64 v v)
5.0ms	(.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)))))
5.0ms	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Results

Accuracy	Segments	Branch
100.0%	1	`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	`(.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 v v)`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes17.0ms (0.3%)

Memory

34.2MiB live, 34.2MiB allocated

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`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	`(.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 v v)`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes21.0ms (0.3%)

Memory

-38.9MiB live, 14.3MiB allocated

Counts

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

Calls

4 calls:

3.0ms	v
3.0ms	(*.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
99.1%	1	`v`
99.1%	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))))))`
99.1%	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)))))`
99.1%	1	`(*.f64 v v)`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes15.0ms (0.2%)

Memory

0.9MiB live, 34.7MiB allocated

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

7.0ms	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
99.1%	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)))))`
99.1%	1	`v`
99.1%	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))))))`
99.1%	1	`(*.f64 v v)`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes6.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

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:

2.0ms	v
1.0ms	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
1.0ms	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
1.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.0%	1	`v`
99.0%	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))))))`
99.0%	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)))))`
99.0%	1	`(*.f64 v v)`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes5.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

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

Results

Accuracy	Segments	Branch
97.5%	1	`v`
97.5%	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))))))`
97.5%	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)))))`
97.5%	1	`(*.f64 v v)`

Compiler

Compiled 42 to 33 computations (21.4% saved)

simplify29.0ms (0.5%)

Memory

-33.1MiB live, 91.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	128
1	72	128
2	79	128
3	83	128
4	85	128

Stop Event

1×

saturated

Calls

Call 1

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

soundness1.0s (15.8%)

Memory

26.5MiB live, 695.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	241	1377
1	747	1197
2	2954	1132
0	8220	1086
0	568	4724
1	1913	4213
0	8398	3998
0	50	307
0	82	304
1	268	304
2	1424	304
0	8625	299
0	39	296
0	62	296
1	201	288
2	1217	288
0	8686	284
0	16	70
0	26	70
1	101	68
2	626	68
3	5773	68
0	8441	61
0	59	371
0	101	365
1	338	339
2	2088	339
0	8306	335

Stop Event

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

Compiler

Compiled 341 to 209 computations (38.7% saved)

preprocess37.0ms (0.6%)

Memory: -0.3MiB live, 75.1MiB allocated
Remove: (abs v)
Compiler: Compiled 372 to 214 computations (42.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze4.0ms (0.1%)

sample1.1s (18%)

explain167.0ms (2.6%)

preprocess155.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify111.0ms (1.7%)

localize46.0ms (0.7%)

series13.0ms (0.2%)

simplify305.0ms (4.8%)

rewrite155.0ms (2.4%)

eval78.0ms (1.2%)

prune17.0ms (0.3%)

simplify97.0ms (1.5%)

localize164.0ms (2.6%)

series31.0ms (0.5%)

simplify187.0ms (2.9%)

rewrite206.0ms (3.2%)

eval299.0ms (4.7%)

prune35.0ms (0.6%)

simplify168.0ms (2.6%)

localize183.0ms (2.9%)

series11.0ms (0.2%)

simplify224.0ms (3.5%)

rewrite190.0ms (3%)

eval199.0ms (3.1%)

prune22.0ms (0.4%)

simplify113.0ms (1.8%)

localize136.0ms (2.1%)

series18.0ms (0.3%)

simplify170.0ms (2.7%)

rewrite245.0ms (3.9%)

eval276.0ms (4.3%)

prune36.0ms (0.6%)

regimes23.0ms (0.4%)

regimes17.0ms (0.3%)

regimes21.0ms (0.3%)

regimes15.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

simplify29.0ms (0.5%)

soundness1.0s (15.8%)

preprocess37.0ms (0.6%)

end0.0ms (0%)

Profiling