Metrics for Falkner and Boettcher, Equation (22+)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze4.0ms (0.1%)

Memory

1.3MiB live, 1.3MiB 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)

sample852.0ms (16.7%)

Memory

362.2MiB live, 362.2MiB allocated

Samples

581.0ms	8 256×	0	valid
1.0ms	13×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 436.0ms

ival-mult: 209.0ms (48% of total)

ival-sub: 70.0ms (16.1% of total)

ival-sqrt: 54.0ms (12.4% of total)

ival-div: 48.0ms (11% of total)

ival-pi: 29.0ms (6.7% of total)

exact: 16.0ms (3.7% of total)

ival-true: 6.0ms (1.4% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain197.0ms (3.9%)

Memory

119.0MiB live, 119.0MiB 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

45.0ms

512×

valid

Compiler

Compiled 364 to 124 computations (65.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 14.0ms (49.9% of total)

ival-sub: 4.0ms (14.2% of total)

ival-div: 3.0ms (10.7% of total)

ival-sqrt: 3.0ms (10.7% of total)

ival-pi: 2.0ms (7.1% of total)

exact: 1.0ms (3.6% of total)

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

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

preprocess142.0ms (2.8%)

Memory

25.3MiB live, 25.3MiB 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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Status

Accuracy

Program

▶

98.4%

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

Compiler

Compiled 20 to 16 computations (20% saved)

simplify96.0ms (1.9%)

Memory

20.7MiB live, 20.7MiB 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)

localize40.0ms (0.8%)

Memory

15.6MiB live, 15.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy	0.01953125	(.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	0.19207001953688402	(.f64 #s(literal 6 binary64) (.f64 v v))
accuracy	0.984375	(/.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

27.0ms

256×

valid

Compiler

Compiled 172 to 34 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 8.0ms (47.7% of total)

ival-sub: 3.0ms (17.9% of total)

ival-div: 2.0ms (11.9% of total)

ival-sqrt: 2.0ms (11.9% of total)

ival-pi: 1.0ms (6% of total)

exact: 1.0ms (6% of total)

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

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

series11.0ms (0.2%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

6 → 33

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))

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))
(* -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))
(* 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)))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	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)))
4.0ms	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)))
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)))

Time

Variable

Point

Expression

5.0ms

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)))

4.0ms

((* (* 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)))

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)))

simplify175.0ms (3.4%)

Memory

54.3MiB live, 54.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	1153
1	620	977
2	2540	912
3	7419	912
0	8053	876

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

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))
(* -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))
(* 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)))

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

rewrite152.0ms (3%)

Memory

51.8MiB live, 51.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	62
0	26	62
1	101	60
2	626	60
3	5773	60
0	8441	54

Stop Event

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

Counts

6 → 479

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))

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

eval75.0ms (1.5%)

Memory: 50.0MiB live, 50.0MiB allocated
Compiler: Compiled 14 777 to 1 879 computations (87.3% saved)

prune21.0ms (0.4%)

Memory

22.4MiB live, 22.4MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	504	8	512
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	505	8	513

Accuracy

100.0%

Counts

513 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (neg.f64 v) v) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))))
▶	100.0%	(/.f64 #s(literal 4 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))) (fma.f64 v v #s(literal 1 binary64))))
▶	51.9%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (.f64 (.f64 (PI.f64) (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) v) v) #s(literal -3 binary64))) v) v)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
	98.4%	(/.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))))))
	97.4%	(/.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))))))
▶	98.9%	(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
	97.7%	#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (.f64 (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (/.f64 (*.f64 v v) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 4/3 binary64)))
▶	97.3%	#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 450 to 342 computations (24% saved)

simplify106.0ms (2.1%)

Memory

28.7MiB live, 28.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))
cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))) (fma.f64 v v #s(literal 1 binary64)))
cost-diff	128	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)))
cost-diff	576	(/.f64 #s(literal 4 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))) (fma.f64 v v #s(literal 1 binary64))))
cost-diff	128	(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
cost-diff	384	(/.f64 (/.f64 #s(literal 3 binary64) v) v)
cost-diff	448	(.f64 (.f64 (PI.f64) (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) v) v) #s(literal -3 binary64))) v)
cost-diff	704	(.f64 (.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) v) v) #s(literal -3 binary64))) v) v)
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))))
cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
cost-diff	0	(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64))
cost-diff	0	#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))
cost-diff	0	(neg.f64 v)
cost-diff	0	(*.f64 (neg.f64 v) v)
cost-diff	2112	(fma.f64 (.f64 (neg.f64 v) v) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	493
0	91	470
1	174	464
2	402	462
3	1166	462
4	3321	444
5	4843	444
0	8047	433

Stop Event

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

Calls

Call 1

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

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

localize137.0ms (2.7%)

Memory

54.3MiB live, 54.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))) (fma.f64 v v #s(literal 1 binary64)))
accuracy	0.97265625	(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))
accuracy	0.984375	(/.f64 #s(literal 4 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))) (fma.f64 v v #s(literal 1 binary64))))
accuracy	0.98828125	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))
accuracy	0.19207001953688402	(.f64 #s(literal 6 binary64) (.f64 v v))
accuracy	0.1953125	(*.f64 (PI.f64) (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) v) v) #s(literal -3 binary64)))
accuracy	0.984375	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (.f64 (.f64 (PI.f64) (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) v) v) #s(literal -3 binary64))) v) v)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
accuracy	29.164443790278877	(.f64 (.f64 (PI.f64) (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) v) v) #s(literal -3 binary64))) v)
accuracy	0	(PI.f64)
accuracy	0.015625	(*.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64))
accuracy	0.015625	(.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	0.01953125	(/.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	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	0	(PI.f64)
accuracy	0.7349738390705979	#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	0.00390625	(fma.f64 (.f64 (neg.f64 v) v) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)))
accuracy	0.97265625	(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))
accuracy	0.984375	(/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (neg.f64 v) v) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))))
accuracy	0.98828125	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))

Samples

93.0ms

256×

valid

Compiler

Compiled 967 to 110 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 26.0ms (40.3% of total)

ival-div: 12.0ms (18.6% of total)

ival-sqrt: 6.0ms (9.3% of total)

ival-add: 5.0ms (7.8% of total)

ival-sub: 4.0ms (6.2% of total)

const: 4.0ms (6.2% of total)

ival-pow: 3.0ms (4.7% of total)

ival-neg: 2.0ms (3.1% of total)

ival-pi: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

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

series30.0ms (0.6%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

26 → 131

Calls

Call 1

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

Outputs
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (+ (* -3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (+ (* -3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/2 (/ (PI) (pow (sqrt 2) 5))) (* 27/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(* -1 (pow v 2))
(* -1 v)
(+ (* -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) (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))))))))))
(* (PI) (sqrt 2))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(PI)
(+ (PI) (* (pow v 2) (PI)))
1
(+ 1 (pow v 2))
(* 3 (PI))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
(* 3 (/ (PI) v))
(/ (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI))) v)
(/ 3 (pow v 2))
2
(+ 2 (* -6 (pow v 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -1 (* (PI) (sqrt 2)))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -1 (* (PI) (sqrt 2))))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
(+ 1 (* -1 (pow v 4)))
(/ 4/3 (* (PI) (sqrt 2)))
(+ (* -4/9 (/ (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))) (* (pow (PI) 2) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2))))))) (* 4/9 (/ (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/3 (/ (* (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* (PI) (sqrt 2)))) (+ (* -4/27 (/ (* (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -81/2 (/ (PI) (pow (sqrt 2) 5))) (* 27/2 (/ (PI) (pow (sqrt 2) 3)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))))) (+ (* -4/27 (/ (pow (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) 2) (* (pow (PI) 3) (pow (sqrt 2) 3)))) (* 4/9 (/ (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2))))))) (* 4/9 (/ (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2)))) (* (pow (PI) 2) (pow (sqrt 2) 2)))))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
(* 3 (sqrt 2))
(+ (* -9 (/ (pow v 2) (sqrt 2))) (* 3 (sqrt 2)))
(+ (* 3 (sqrt 2)) (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 9 (/ 1 (sqrt 2))))))
(+ (* 3 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -81/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 27/2 (/ 1 (pow (sqrt 2) 3))))) (* 9 (/ 1 (sqrt 2))))))
(+ (* 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)))))))))))
(* 3 (/ (PI) (pow v 2)))
(/ (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI))) (pow v 2))
(* 6 (pow v 2))
(* -3 (* (pow v 3) (* (PI) (sqrt -6))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (/ (PI) (* (pow v 4) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2))))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (/ (PI) (* (pow v 4) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2))))))))))
(* 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) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))
(* (pow v 3) (* (PI) (sqrt -6)))
(* (pow v 3) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))
(* (pow v 3) (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (+ (/ (PI) (* (pow v 2) (sqrt -6))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))))
(* (pow v 2) (PI))
(* (pow v 2) (+ (PI) (/ (PI) (pow v 2))))
(pow v 2)
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(* -3 (* (pow v 2) (PI)))
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))
(* -3 (* v (PI)))
(* v (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -3 (* (pow v 5) (* (PI) (sqrt -6))))
(* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (* -3 (/ (PI) (* (pow v 2) (sqrt -6))))))
(* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4))))))
(* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 5))) (/ (PI) (sqrt -6))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4)))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))
(* -1 (pow v 4))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
(/ -4/3 (* (pow v 3) (* (PI) (sqrt -6))))
(/ (- (* -4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3))
(/ (- (* -1 (/ (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (pow v 4))) (+ (* 4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3))
(/ (- (* -1 (/ (+ (* 4/27 (/ (* (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6))))) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (+ (* 1/3 (/ (* (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow (PI) 2) (pow (sqrt -6) 2)))))) (* (PI) (sqrt -6)))) (* 4/9 (/ (+ (* -3/2 (/ (PI) (pow (sqrt -6) 3))) (* -3/2 (/ (PI) (pow (sqrt -6) 5)))) (* (pow (PI) 2) (pow (sqrt -6) 2)))))) (pow v 6))) (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow v 4) (* (pow (PI) 3) (pow (sqrt -6) 3))))) (+ (* 4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (+ (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow v 4) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3))
(* 3 (* v (sqrt -6)))
(* v (+ (* 3 (sqrt -6)) (* 3 (/ 1 (* (pow v 2) (sqrt -6))))))
(* v (- (+ (* 3 (sqrt -6)) (/ 3 (* (pow v 2) (sqrt -6)))) (/ 3/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (* 3 (sqrt -6)) (+ (* 3/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))) (/ 3 (* (pow v 2) (sqrt -6))))) (* 3/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 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))
(* -3 (PI))
(+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2))))
(* 3 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (/ (PI) (* (pow v 4) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2)))))))))
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (/ (PI) (* (pow v 4) (sqrt -6)))) (* 3 (/ (* (PI) (sqrt -6)) (pow v 2)))))))))))
(* -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)))))))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))
(* -1 (* (pow v 3) (* (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 (+ (* -3 (/ (PI) (pow v 2))) (* 3 (PI)))))
(* 3 (* (pow v 5) (* (PI) (sqrt -6))))
(* -1 (* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4)))))))
(* -1 (* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 5))) (/ (PI) (sqrt -6))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4))))))))
(* -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 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (/ (- (* -4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3)))
(* -1 (/ (- (* -1 (/ (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (pow v 4))) (+ (* 4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3)))
(* -1 (/ (- (* -1 (/ (+ (* 4/27 (/ (* (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6))))) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (+ (* 1/3 (/ (* (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow (PI) 2) (pow (sqrt -6) 2)))))) (* (PI) (sqrt -6)))) (* 4/9 (/ (+ (* -3/2 (/ (PI) (pow (sqrt -6) 3))) (* -3/2 (/ (PI) (pow (sqrt -6) 5)))) (* (pow (PI) 2) (pow (sqrt -6) 2)))))) (pow v 6))) (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow v 4) (* (pow (PI) 3) (pow (sqrt -6) 3))))) (+ (* 4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (+ (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow v 4) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3)))
(* -3 (* v (sqrt -6)))
(* -1 (* v (+ (* 3 (sqrt -6)) (* 3 (/ 1 (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (- (+ (* 3 (sqrt -6)) (/ 3 (* (pow v 2) (sqrt -6)))) (/ 3/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (* 3 (sqrt -6)) (+ (* 3/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))) (/ 3 (* (pow v 2) (sqrt -6))))) (* 3/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 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
10.0ms	v	@	inf	((+ (* (* (neg v) v) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI))) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI))) (* (neg v) v) (neg v) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (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) (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (* (+ (* v v) 1) (PI)) (+ (* v v) 1) (PI) (* (* (* (PI) (+ (/ (/ 3 v) v) -3)) v) v) (* (* (PI) (+ (/ (/ 3 v) v) -3)) v) (/ (/ 3 v) v) (- 2 (* 6 (* v v))) (/ 4 (/ (* (- 1 (pow v 4)) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI))) (+ (* v v) 1))) (* (- 1 (pow v 4)) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI))) (/ (* (- 1 (pow v 4)) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI))) (+ (* v v) 1)) (- 1 (pow v 4)) (/ 4 (+ (* (* (neg v) v) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI))) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI)))) (* (sqrt (+ (* -6 (* v v)) 2)) 3) (/ 4/3 (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (PI) (+ (/ (/ 3 v) v) -3)) (* 6 (* v v)))
9.0ms	v	@	0	((+ (* (* (neg v) v) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI))) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI))) (* (neg v) v) (neg v) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (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) (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (* (+ (* v v) 1) (PI)) (+ (* v v) 1) (PI) (* (* (* (PI) (+ (/ (/ 3 v) v) -3)) v) v) (* (* (PI) (+ (/ (/ 3 v) v) -3)) v) (/ (/ 3 v) v) (- 2 (* 6 (* v v))) (/ 4 (/ (* (- 1 (pow v 4)) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI))) (+ (* v v) 1))) (* (- 1 (pow v 4)) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI))) (/ (* (- 1 (pow v 4)) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI))) (+ (* v v) 1)) (- 1 (pow v 4)) (/ 4 (+ (* (* (neg v) v) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI))) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI)))) (* (sqrt (+ (* -6 (* v v)) 2)) 3) (/ 4/3 (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (PI) (+ (/ (/ 3 v) v) -3)) (* 6 (* v v)))
7.0ms	v	@	-inf	((+ (* (* (neg v) v) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI))) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI))) (* (neg v) v) (neg v) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (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) (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (* (+ (* v v) 1) (PI)) (+ (* v v) 1) (PI) (* (* (* (PI) (+ (/ (/ 3 v) v) -3)) v) v) (* (* (PI) (+ (/ (/ 3 v) v) -3)) v) (/ (/ 3 v) v) (- 2 (* 6 (* v v))) (/ 4 (/ (* (- 1 (pow v 4)) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI))) (+ (* v v) 1))) (* (- 1 (pow v 4)) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI))) (/ (* (- 1 (pow v 4)) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI))) (+ (* v v) 1)) (- 1 (pow v 4)) (/ 4 (+ (* (* (neg v) v) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI))) (* (* (sqrt (+ (* -6 (* v v)) 2)) 3) (PI)))) (* (sqrt (+ (* -6 (* v v)) 2)) 3) (/ 4/3 (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (PI) (+ (/ (/ 3 v) v) -3)) (* 6 (* v v)))

Time

Variable

Point

Expression

10.0ms

inf

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

9.0ms

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

7.0ms

-inf

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

simplify168.0ms (3.3%)

Memory

58.4MiB live, 58.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	594	4884
1	2001	4366
0	8445	4132

Stop Event

1×	iter limit
1×	node limit

Counts

131 → 131

Calls

Call 1

Inputs
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (+ (* -3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))))))))
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1
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2
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(* (pow v 2) (PI))
(* (pow v 2) (+ (PI) (/ (PI) (pow v 2))))
(pow v 2)
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(* -3 (* v (PI)))
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(* -6 (pow v 2))
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(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))
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(* -1 (* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4)))))))
(* -1 (* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 5))) (/ (PI) (sqrt -6))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4))))))))
(* -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 (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (/ (- (* -4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6))))) (pow v 3)))
(* -1 (/ (- (* -1 (/ (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (pow v 4))) (+ (* 4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))) (pow v 3)))
(* -1 (/ (- (* -1 (/ (+ (* 4/27 (/ (* (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6))))) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (+ (* 1/3 (/ (* (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow (PI) 3) (pow (sqrt -6) 3)))) (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow (PI) 2) (pow (sqrt -6) 2)))))) (* (PI) (sqrt -6)))) (* 4/9 (/ (+ (* -3/2 (/ (PI) (pow (sqrt -6) 3))) (* -3/2 (/ (PI) (pow (sqrt -6) 5)))) (* (pow (PI) 2) (pow (sqrt -6) 2)))))) (pow v 6))) (+ (* 4/27 (/ (pow (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) 2) (* (pow v 4) (* (pow (PI) 3) (pow (sqrt -6) 3))))) (+ (* 4/9 (/ (+ (* -3 (/ (PI) (sqrt -6))) (* 3 (* (PI) (sqrt -6)))) (* (pow v 2) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (+ (* 4/9 (/ (+ (* 3/2 (/ (PI) (pow (sqrt -6) 3))) (* 3 (/ (PI) (sqrt -6)))) (* (pow v 4) (* (pow (PI) 2) (pow (sqrt -6) 2))))) (* 4/3 (/ 1 (* (PI) (sqrt -6)))))))) (pow v 3)))
(* -3 (* v (sqrt -6)))
(* -1 (* v (+ (* 3 (sqrt -6)) (* 3 (/ 1 (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (- (+ (* 3 (sqrt -6)) (/ 3 (* (pow v 2) (sqrt -6)))) (/ 3/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (* 3 (sqrt -6)) (+ (* 3/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))) (/ 3 (* (pow v 2) (sqrt -6))))) (* 3/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1/2 (/ (+ 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 (* (PI) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))))
(.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (+ (* -3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (* 9 (/ (PI) (sqrt 2)))))))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 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 -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64)))) (*.f64 v v)))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (+ (* -3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/2 (/ (PI) (pow (sqrt 2) 5))) (* 27/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (PI.f64) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal -81/2 binary64))) v) v (fma.f64 #s(literal -27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 v v) (fma.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64)))) (*.f64 v v)))
(* -1 (pow v 2))
(*.f64 (neg.f64 v) v)
(* -1 v)
(neg.f64 v)
(+ (* -9 (/ (* (pow v 2) (PI)) (sqrt 2))) (* 3 (* (PI) (sqrt 2))))
(fma.f64 (.f64 (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64)) v) v (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -9 (/ (PI) (sqrt 2))))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (PI.f64) (.f64 (fma.f64 (.f64 (.f64 #s(literal -27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) v) v (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64))) (.f64 v v)))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -27/2 (/ (PI) (pow (sqrt 2) 3))))))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (PI.f64) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal -81/2 binary64)) v) v (.f64 #s(literal -27/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 v v) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 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 #s(literal 4/3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(fma.f64 (.f64 (.f64 v v) #s(literal 4/3 binary64)) (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 (.f64 v v) #s(literal 4/3 binary64)) (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)))
(* (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 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 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 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) v) v (fma.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(fma.f64 (fma.f64 (fma.f64 (.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 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 v v) (fma.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(PI)
(PI.f64)
(+ (PI) (* (pow v 2) (PI)))
(fma.f64 (*.f64 v v) (PI.f64) (PI.f64))
1
#s(literal 1 binary64)
(+ 1 (pow v 2))
(fma.f64 v v #s(literal 1 binary64))
(* 3 (PI))
(*.f64 (PI.f64) #s(literal 3 binary64))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
(.f64 (PI.f64) (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 3 binary64)))
(* 3 (/ (PI) v))
(*.f64 (/.f64 (PI.f64) v) #s(literal 3 binary64))
(/ (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI))) v)
(/.f64 (.f64 (PI.f64) (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 3 binary64))) v)
(/ 3 (pow v 2))
(/.f64 #s(literal 3 binary64) (*.f64 v v))
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))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -1 (* (PI) (sqrt 2)))))))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 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 -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) v) v (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64))) (*.f64 v v)))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -1 (* (PI) (sqrt 2))))))))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (PI.f64) (.f64 (fma.f64 (.f64 (.f64 v v) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) v) v (fma.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64))) (*.f64 v v)))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 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 -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64)))) (*.f64 v v)))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 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 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 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 -3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9 binary64)))) (.f64 v v)))
(+ 1 (* -1 (pow v 4)))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))
(/ 4/3 (* (PI) (sqrt 2)))
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(+ (* -4/9 (/ (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* -3 (* (PI) (sqrt 2))))) (* (pow (PI) 2) (pow (sqrt 2) 2)))) (* 4/3 (/ 1 (* (PI) (sqrt 2)))))
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(/.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 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) #s(literal -3/2 binary64))) (PI.f64)) (PI.f64)) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 4/27 binary64) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 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)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.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 (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))))
(* -3 (* v (sqrt -6)))
(.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) v) #s(literal -3 binary64))
(* -1 (* v (+ (* 3 (sqrt -6)) (* 3 (/ 1 (* (pow v 2) (sqrt -6)))))))
(.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v))) (neg.f64 v))
(* -1 (* v (- (+ (* 3 (sqrt -6)) (/ 3 (* (pow v 2) (sqrt -6)))) (/ 3/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(.f64 (-.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v))) (/.f64 (/.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -6 binary64)) (sqrt.f64 #s(literal -6 binary64)))) (neg.f64 v))
(* -1 (* v (- (+ (* 3 (sqrt -6)) (+ (* 3/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))) (/ 3 (* (pow v 2) (sqrt -6))))) (* 3/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(.f64 (-.f64 (fma.f64 #s(literal 3 binary64) (+.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 3/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -6 binary64)) (sqrt.f64 #s(literal -6 binary64)))) (neg.f64 v))
(* -1 (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))
(/.f64 (.f64 #s(literal -4/3 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (*.f64 v v)))) (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 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal 4/3 binary64) (.f64 #s(literal 4/3 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) #s(literal -1 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (.f64 v v)) (/.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 (+.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))))

rewrite190.0ms (3.7%)

Memory

76.7MiB live, 76.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	314
0	91	293
1	338	275
2	2295	275
0	8895	271

Stop Event

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

Counts

26 → 1 069

Calls

Call 1

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

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

eval194.0ms (3.8%)

Memory: 127.2MiB live, 127.2MiB allocated
Compiler: Compiled 47 819 to 5 496 computations (88.5% saved)

prune38.0ms (0.7%)

Memory

48.8MiB live, 48.8MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	1 289	6	1 295
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	1 295	8	1 303

Accuracy

100.0%

Counts

1 303 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal 3 binary64)) (PI.f64)))
▶	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 (neg.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) #s(literal 3 binary64))))
▶	100.0%	(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
▶	97.4%	(/.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))))))
▶	98.9%	(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
▶	98.9%	(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
✓	97.3%	#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 307 to 259 computations (15.6% saved)

simplify95.0ms (1.9%)

Memory

18.1MiB live, 18.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
cost-diff	0	(PI.f64)
cost-diff	0	(.f64 (PI.f64) (.f64 #s(literal 3 binary64) (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
cost-diff	128	(.f64 #s(literal 3 binary64) (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
cost-diff	0	(*.f64 (PI.f64) #s(literal 3 binary64))
cost-diff	0	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff	0	(.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (-.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 (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))))
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	(neg.f64 v)
cost-diff	0	(fma.f64 (neg.f64 v) v #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64))
cost-diff	384	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	364
0	80	358
1	142	358
2	247	358
3	593	358
4	1380	358
5	1990	358
6	3330	358
7	4906	358
8	6587	358
0	8008	345

Stop Event

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

Calls

Call 1

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

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

localize115.0ms (2.3%)

Memory

45.5MiB live, 45.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy	0.98046875	(.f64 #s(literal 3 binary64) (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
accuracy	0.984375	(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
accuracy	0.984375	(.f64 (PI.f64) (.f64 #s(literal 3 binary64) (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
accuracy	0.01953125	(.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	0.19207001953688402	(.f64 #s(literal 6 binary64) (.f64 v v))
accuracy	0.6980877768586154	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
accuracy	0.984375	(/.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	(PI.f64)
accuracy	0.015625	(.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	0.01953125	(/.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	0.7095423590684959	#s(approx (* (+ (* v v) 1) (PI)) (PI.f64))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	(PI.f64)
accuracy	0.01953125	(/.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	0.6687087463965853	#s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
accuracy	0	(PI.f64)
accuracy	0.00390625	(*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64))
accuracy	0.0078125	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy	0.97265625	(/.f64 #s(literal 4/3 binary64) (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)))

Samples

80.0ms

256×

valid

Compiler

Compiled 728 to 95 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 24.0ms (43.6% of total)

ival-div: 8.0ms (14.5% of total)

ival-sqrt: 7.0ms (12.7% of total)

ival-add: 5.0ms (9.1% of total)

const: 4.0ms (7.3% of total)

ival-sub: 3.0ms (5.5% of total)

ival-neg: 2.0ms (3.6% of total)

ival-pi: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

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

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

series14.0ms (0.3%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

24 → 109

Calls

Call 1

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

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

inf

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

4.0ms

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

3.0ms

-inf

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

simplify145.0ms (2.8%)

Memory

45.8MiB live, 45.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	460	3378
1	1490	2949
2	6027	2924
0	8056	2815

Stop Event

1×	iter limit
1×	node limit

Counts

109 → 109

Calls

Call 1

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

rewrite149.0ms (2.9%)

Memory

62.8MiB live, 62.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	279
0	80	274
1	269	274
2	1528	274
0	8709	258

Stop Event

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

Counts

24 → 1 228

Calls

Call 1

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

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

eval199.0ms (3.9%)

Memory: 134.0MiB live, 134.0MiB allocated
Compiler: Compiled 40 863 to 5 419 computations (86.7% saved)

prune36.0ms (0.7%)

Memory

51.7MiB live, 51.7MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 401	2	1 403
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	1 402	9	1 411

Accuracy

100.0%

Counts

1 411 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal 3 binary64)) (PI.f64)))
✓	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
▶	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 (neg.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) #s(literal 3 binary64))))
▶	97.4%	(/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))))
✓	100.0%	(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
▶	98.9%	(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (.f64 #s(approx (+ ( (neg v) v) 1) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
✓	98.9%	(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
✓	98.9%	(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
✓	97.3%	#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 188 to 159 computations (15.4% saved)

simplify89.0ms (1.8%)

Memory

17.3MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	340
0	65	340
1	116	340
2	236	334
3	564	334
4	1301	334
5	1864	334
6	3388	334
7	5076	334
8	6877	334
0	8010	326

Stop Event

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

Calls

Call 1

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

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

localize96.0ms (1.9%)

Memory

39.6MiB live, 39.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal 3 binary64))
accuracy	0.00390625	(.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal 3 binary64)) (PI.f64))
accuracy	0.9765625	(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal 3 binary64)) (PI.f64)))
accuracy	0.98046875	(/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy	0	(PI.f64)
accuracy	0.01171875	(.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy	0.015625	(.f64 (.f64 (fma.f64 (neg.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) #s(literal 3 binary64)))
accuracy	0.984375	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 (neg.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) #s(literal 3 binary64))))
accuracy	0	(PI.f64)
accuracy	0.01953125	(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64))))
accuracy	0.6980877768586154	#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
accuracy	0.984375	(/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))))
accuracy	0.7189554151764056	#s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64))
accuracy	0.98046875	(.f64 #s(literal 3 binary64) (.f64 #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
accuracy	0.984375	(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (.f64 #s(approx (+ ( (neg v) v) 1) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
accuracy	0.984375	(.f64 (PI.f64) (.f64 #s(literal 3 binary64) (.f64 #s(approx (+ ( (neg v) v) 1) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))

Samples

65.0ms

256×

valid

Compiler

Compiled 697 to 76 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 21.0ms (50.5% of total)

ival-div: 8.0ms (19.2% of total)

ival-add: 4.0ms (9.6% of total)

ival-sqrt: 4.0ms (9.6% of total)

ival-pi: 1.0ms (2.4% of total)

ival-sub: 1.0ms (2.4% of total)

exact: 1.0ms (2.4% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

series11.0ms (0.2%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

23 → 89

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

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

3.0ms

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

2.0ms

-inf

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

simplify175.0ms (3.4%)

Memory

56.3MiB live, 56.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	386	2486
1	1204	2121
2	4594	2041
0	8318	1968

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 89

Calls

Call 1

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

Outputs
(* 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 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 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 (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 (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64))) #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))))))))
(.f64 #s(literal 3 binary64) (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) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 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 (.f64 #s(literal 3 binary64) (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) (-.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)) #s(literal 3 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(+ (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) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(+ (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) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(+ (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)))
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(pow v 2)
(*.f64 v v)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* -1 v)
(neg.f64 v)
3
#s(literal 3 binary64)
(+ 3 (* -3 (pow v 2)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 3 binary64))
(* 4 (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))
(+ (* 3 (/ (pow v 2) (sqrt 1/2))) (* 4 (sqrt 1/2)))
(fma.f64 (.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) v) v (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))
(+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3 (/ 1 (sqrt 1/2))))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 27/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) v) v (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))
(+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3 (/ 1 (sqrt 1/2))))))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 27/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 135/8 binary64) (.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 v v) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 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)))))))
(.f64 #s(literal 4/3 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 v v) (PI.f64)) (/.f64 #s(literal 27/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.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)) (.f64 (+.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))))) (/.f64 #s(literal 27/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) #s(literal 4/3 binary64)) (.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)))
(* 3 (PI))
(*.f64 (PI.f64) #s(literal 3 binary64))
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))
(.f64 (PI.f64) (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 3 binary64)))
(* -3 (* (pow v 3) (* (PI) (sqrt -6))))
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(* -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))))))
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(* -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 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 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 -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (-.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))
(* -1 (* v (sqrt -6)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -6 binary64))) v)
(* -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 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) 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)))) (neg.f64 v))
(* -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 (-.f64 (+.f64 (+.f64 (/.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))) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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)))) (neg.f64 v))
(* -4 (/ (sqrt -1/6) v))
(*.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) v))
(* -1 (/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))
(/.f64 (fma.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64)))) (neg.f64 v))
(* -1 (/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v))
(/.f64 (-.f64 (fma.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal -1/36 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 v v))) (neg.f64 v))
(* -1 (/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (+.f64 (/.f64 #s(literal 5/1296 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 1/72 binary64) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64))))) (neg.f64 v))
(* 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 (/.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))) #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))) (* 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))))

rewrite171.0ms (3.4%)

Memory

73.3MiB live, 73.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	266
0	65	266
1	215	264
2	1263	262
0	8682	247

Stop Event

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

Counts

23 → 1 560

Calls

Call 1

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

Outputs
(.f64 (neg.f64 (.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64))))) (PI.f64))
(.f64 (neg.f64 (neg.f64 (PI.f64))) (.f64 (.f64 #s(approx (+ ( (neg v) v) 1) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(.f64 (neg.f64 (.f64 #s(literal -3 binary64) (PI.f64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(approx (+ ( (neg v) v) 1) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (.f64 #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (.f64 (.f64 #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (PI.f64) (.f64 #s(approx (+ ( (neg v) v) 1) #s(literal 1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64)))) #s(literal 3 binary64))
(.f64 (.f64 #s(literal -3 binary64) (PI.f64)) (.f64 (neg.f64 #s(approx (+ ( (neg v) v) 1) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64)))) (neg.f64 (PI.f64)))
(.f64 (neg.f64 (PI.f64)) (.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)))
(.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal -3 binary64) (PI.f64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (+ ( (neg v) v) 1) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (.f64 #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64)) #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) (PI.f64)) (neg.f64 (.f64 (neg.f64 #s(approx (+ ( (neg v) v) 1) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (PI.f64) (.f64 #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64)) #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 (.f64 #s(approx (+ ( (neg v) v) 1) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (PI.f64))))
(.f64 (.f64 (.f64 #s(approx (+ ( (neg v) v) 1) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (PI.f64))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (+ ( (neg v) v) 1) #s(literal 1 binary64))) (*.f64 #s(literal 3 binary64) (PI.f64)))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (.f64 #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64)) #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 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64))) (PI.f64)))
(.f64 #s(literal 3 binary64) (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64)))))
(.f64 (PI.f64) (neg.f64 (.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64))))))
(.f64 (PI.f64) (.f64 (.f64 #s(approx (+ ( (neg v) v) 1) #s(literal 1 binary64)) #s(literal 3 binary64)) (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 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (PI.f64) (.f64 #s(approx (+ ( (neg v) v) 1) #s(literal 1 binary64)) #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 (pow.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (+ ( (neg v) v) 1) #s(literal 1 binary64)))))
(neg.f64 (.f64 (.f64 #s(literal -3 binary64) (PI.f64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -3 binary64) (PI.f64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64)))))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
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(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (.f64 #s(literal 3 binary64) (.f64 (neg.f64 v) v)) (PI.f64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (neg.f64 v) v))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 v) v) (*.f64 #s(literal 3 binary64) (PI.f64)))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 #s(literal 3 binary64) (.f64 (.f64 (neg.f64 v) v) (PI.f64))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (.f64 (neg.f64 v) v))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (PI.f64) (.f64 (.f64 (neg.f64 v) v) #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (.f64 (neg.f64 v) v))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (.f64 (neg.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 #s(literal 3 binary64) (PI.f64)) (.f64 (neg.f64 v) v)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 (neg.f64 v) v) (PI.f64)) (*.f64 #s(literal 3 binary64) (PI.f64)))
(fma.f64 #s(literal 3 binary64) (.f64 (PI.f64) (.f64 (neg.f64 v) v)) (*.f64 #s(literal 3 binary64) (PI.f64)))
(fma.f64 #s(literal 3 binary64) (PI.f64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (neg.f64 v) v)) #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) (PI.f64) (.f64 (.f64 (.f64 (neg.f64 v) v) (.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) (PI.f64) (.f64 (.f64 (*.f64 (neg.f64 v) v) (PI.f64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (PI.f64) (.f64 (.f64 (PI.f64) (*.f64 (neg.f64 v) v)) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (PI.f64) (.f64 (.f64 (*.f64 (neg.f64 v) v) #s(literal 3 binary64)) (PI.f64)))
(fma.f64 #s(literal 3 binary64) (PI.f64) (.f64 (.f64 #s(literal 3 binary64) (*.f64 (neg.f64 v) v)) (PI.f64)))
(fma.f64 #s(literal 3 binary64) (PI.f64) (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (neg.f64 v) v))))
(fma.f64 #s(literal 3 binary64) (PI.f64) (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 v) v) (.f64 #s(literal 3 binary64) (PI.f64)))))
(fma.f64 #s(literal 3 binary64) (PI.f64) (.f64 #s(literal 3 binary64) (.f64 (*.f64 (neg.f64 v) v) (PI.f64))))
(fma.f64 #s(literal 3 binary64) (PI.f64) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (*.f64 (neg.f64 v) v))))
(fma.f64 #s(literal 3 binary64) (PI.f64) (.f64 (PI.f64) (.f64 (*.f64 (neg.f64 v) v) #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (PI.f64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (*.f64 (neg.f64 v) v))))
(fma.f64 #s(literal 3 binary64) (PI.f64) (.f64 (.f64 (neg.f64 v) v) (*.f64 #s(literal 3 binary64) (PI.f64))))
(fma.f64 #s(literal 3 binary64) (PI.f64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (neg.f64 v) v)))
(fma.f64 (PI.f64) (.f64 (.f64 (neg.f64 v) v) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (PI.f64)))
(fma.f64 (PI.f64) (.f64 #s(literal 3 binary64) (.f64 (neg.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) (PI.f64)) (.f64 (neg.f64 v) v)) #s(literal 1 binary64)))
(fma.f64 (PI.f64) #s(literal 3 binary64) (.f64 (.f64 (.f64 (neg.f64 v) v) (.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 1 binary64)))
(fma.f64 (PI.f64) #s(literal 3 binary64) (.f64 (.f64 (*.f64 (neg.f64 v) v) (PI.f64)) #s(literal 3 binary64)))
(fma.f64 (PI.f64) #s(literal 3 binary64) (.f64 (.f64 (PI.f64) (*.f64 (neg.f64 v) v)) #s(literal 3 binary64)))
(fma.f64 (PI.f64) #s(literal 3 binary64) (.f64 (.f64 (*.f64 (neg.f64 v) v) #s(literal 3 binary64)) (PI.f64)))
(fma.f64 (PI.f64) #s(literal 3 binary64) (.f64 (.f64 #s(literal 3 binary64) (*.f64 (neg.f64 v) v)) (PI.f64)))
(fma.f64 (PI.f64) #s(literal 3 binary64) (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (neg.f64 v) v))))
(fma.f64 (PI.f64) #s(literal 3 binary64) (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 v) v) (.f64 #s(literal 3 binary64) (PI.f64)))))
(fma.f64 (PI.f64) #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 (*.f64 (neg.f64 v) v) (PI.f64))))
(fma.f64 (PI.f64) #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (*.f64 (neg.f64 v) v))))
(fma.f64 (PI.f64) #s(literal 3 binary64) (.f64 (PI.f64) (.f64 (*.f64 (neg.f64 v) v) #s(literal 3 binary64))))
(fma.f64 (PI.f64) #s(literal 3 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (*.f64 (neg.f64 v) v))))
(fma.f64 (PI.f64) #s(literal 3 binary64) (.f64 (.f64 (neg.f64 v) v) (*.f64 #s(literal 3 binary64) (PI.f64))))
(fma.f64 (PI.f64) #s(literal 3 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (neg.f64 v) v)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (neg.f64 v) v)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (PI.f64)))
(+.f64 (.f64 (.f64 (.f64 (neg.f64 v) v) (.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (PI.f64)))
(+.f64 (.f64 (.f64 (.f64 (neg.f64 v) v) (PI.f64)) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (PI.f64)))
(+.f64 (.f64 (.f64 (PI.f64) (.f64 (neg.f64 v) v)) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (PI.f64)))
(+.f64 (.f64 (.f64 (.f64 (neg.f64 v) v) #s(literal 3 binary64)) (PI.f64)) (.f64 #s(literal 3 binary64) (PI.f64)))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 (neg.f64 v) v)) (PI.f64)) (.f64 #s(literal 3 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (neg.f64 v) v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 v) v) (.f64 #s(literal 3 binary64) (PI.f64)))) (*.f64 #s(literal 3 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 (neg.f64 v) v) (PI.f64))) (.f64 #s(literal 3 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (.f64 (neg.f64 v) v))) (.f64 #s(literal 3 binary64) (PI.f64)))
(+.f64 (.f64 (PI.f64) (.f64 (.f64 (neg.f64 v) v) #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (PI.f64)))
(+.f64 (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (.f64 (neg.f64 v) v))) (.f64 #s(literal 3 binary64) (PI.f64)))
(+.f64 (.f64 (.f64 (neg.f64 v) v) (.f64 #s(literal 3 binary64) (PI.f64))) (.f64 #s(literal 3 binary64) (PI.f64)))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (neg.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) (PI.f64)) (*.f64 (neg.f64 v) v)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (.f64 (.f64 (neg.f64 v) v) (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (.f64 (.f64 (neg.f64 v) v) (PI.f64)) #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (.f64 (neg.f64 v) v)) #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (.f64 (.f64 (neg.f64 v) v) #s(literal 3 binary64)) (PI.f64)))
(+.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (.f64 #s(literal 3 binary64) (.f64 (neg.f64 v) v)) (PI.f64)))
(+.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (neg.f64 v) v))))
(+.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 v) v) (*.f64 #s(literal 3 binary64) (PI.f64)))))
(+.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 #s(literal 3 binary64) (.f64 (.f64 (neg.f64 v) v) (PI.f64))))
(+.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (.f64 (neg.f64 v) v))))
(+.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (PI.f64) (.f64 (.f64 (neg.f64 v) v) #s(literal 3 binary64))))
(+.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (.f64 (neg.f64 v) v))))
(+.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (.f64 (neg.f64 v) v) (.f64 #s(literal 3 binary64) (PI.f64))))
(+.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (neg.f64 v) v)))

eval226.0ms (4.4%)

Memory: 152.5MiB live, 152.5MiB allocated
Compiler: Compiled 45 958 to 5 295 computations (88.5% saved)

prune45.0ms (0.9%)

Memory

62.9MiB live, 62.9MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 636	4	1 640
Fresh	0	0	0
Picked	2	2	4
Done	2	3	5
Total	1 640	9	1 649

Accuracy

100.0%

Counts

1 649 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f64 #s(literal 4 binary64) (.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 (.f64 #s(literal -3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
	97.4%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64)))) #s(literal 3 binary64)))
✓	97.4%	(/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))))
✓	98.9%	(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (.f64 #s(approx (+ ( (neg v) v) 1) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
✓	98.9%	(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (+ (* v v) 1) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
✓	98.9%	(/.f64 #s(literal 4/3 binary64) #s(approx (* (* (+ (* v v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
	100.0%	(/.f64 #s(literal -4/3 binary64) (.f64 (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))))
	100.0%	(.f64 (/.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)))) #s(literal 1/3 binary64))
✓	97.3%	#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 668 to 299 computations (55.2% saved)

regimes24.0ms (0.5%)

Memory

11.0MiB live, 11.0MiB 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 4 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #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 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (.f64 #s(approx (+ ( (neg v) v) 1) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(/.f64 #s(literal -4/3 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal -4 binary64) (.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)))) #s(literal 1/3 binary64))
(/.f64 #s(literal 4 binary64) (.f64 (fma.f64 v v #s(literal -1 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 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 (PI.f64) (.f64 #s(literal 3 binary64) (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 (neg.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) #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.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) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal 3 binary64)) (PI.f64)))
(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 (.f64 (.f64 (PI.f64) (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) v) v) #s(literal -3 binary64))) v) v)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (.f64 (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (/.f64 (*.f64 v v) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 4/3 binary64)))
(/.f64 #s(literal 4 binary64) (fma.f64 (.f64 (neg.f64 v) v) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))))
(/.f64 #s(literal 4 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64))) (fma.f64 v v #s(literal 1 binary64))))

Outputs

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

Calls

4 calls:

6.0ms	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)

regimes13.0ms (0.3%)

Memory

7.1MiB live, 7.1MiB 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 4 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #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 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (.f64 #s(approx (+ ( (neg v) v) 1) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (+ (* (neg v) v) 1) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(/.f64 #s(literal -4/3 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))

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

Calls

4 calls:

4.0ms	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
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)

regimes12.0ms (0.2%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Results

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

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes10.0ms (0.2%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes7.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB 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
2.0ms	(*.f64 v v)
2.0ms	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
2.0ms	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))

Results

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

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes6.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB 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:

2.0ms	v
1.0ms	(*.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 (.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
97.3%	1	`v`
97.3%	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))))))`
97.3%	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)))))`
97.3%	1	`(*.f64 v v)`

Compiler

Compiled 42 to 33 computations (21.4% saved)

simplify29.0ms (0.6%)

Memory

18.8MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	125
1	72	125

Stop Event

1×

saturated

Calls

Call 1

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

soundness757.0ms (14.8%)

Memory

7.6MiB live, 7.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	314
0	91	293
1	338	275
2	2295	275
0	8895	271
0	16	62
0	26	62
1	101	60
2	626	60
3	5773	60
0	8441	54
0	594	4884
1	2001	4366
0	8445	4132
0	200	1153
1	620	977
2	2540	912
3	7419	912
0	8053	876
0	460	3378
1	1490	2949
2	6027	2924
0	8056	2815
0	39	266
0	65	266
1	215	264
2	1263	262
0	8682	247

Stop Event

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

Compiler

Compiled 310 to 196 computations (36.8% saved)

preprocess48.0ms (0.9%)

Memory: 25.4MiB live, 25.4MiB allocated
Remove: (abs v)
Compiler: Compiled 434 to 282 computations (35% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze4.0ms (0.1%)

sample852.0ms (16.7%)

explain197.0ms (3.9%)

preprocess142.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify96.0ms (1.9%)

localize40.0ms (0.8%)

series11.0ms (0.2%)

simplify175.0ms (3.4%)

rewrite152.0ms (3%)

eval75.0ms (1.5%)

prune21.0ms (0.4%)

simplify106.0ms (2.1%)

localize137.0ms (2.7%)

series30.0ms (0.6%)

simplify168.0ms (3.3%)

rewrite190.0ms (3.7%)

eval194.0ms (3.8%)

prune38.0ms (0.7%)

simplify95.0ms (1.9%)

localize115.0ms (2.3%)

series14.0ms (0.3%)

simplify145.0ms (2.8%)

rewrite149.0ms (2.9%)

eval199.0ms (3.9%)

prune36.0ms (0.7%)

simplify89.0ms (1.8%)

localize96.0ms (1.9%)

series11.0ms (0.2%)

simplify175.0ms (3.4%)

rewrite171.0ms (3.4%)

eval226.0ms (4.4%)

prune45.0ms (0.9%)

regimes24.0ms (0.5%)

regimes13.0ms (0.3%)

regimes12.0ms (0.2%)

regimes10.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

simplify29.0ms (0.6%)

soundness757.0ms (14.8%)

preprocess48.0ms (0.9%)

end0.0ms (0%)

Profiling