Metrics for Falkner and Boettcher, Equation (22+)

analyze4.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 22 to 18 computations (18.2% saved)

sample1.1s (9.4%)

Memory

8.8MiB live, 1 658.0MiB allocated

Samples

727.0ms	8 256×	0	valid
2.0ms	15×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 562.0ms

ival-mult: 280.0ms (49.8% of total)

ival-sub: 75.0ms (13.3% of total)

ival-div: 69.0ms (12.3% of total)

ival-sqrt: 59.0ms (10.5% of total)

ival-pi: 53.0ms (9.4% of total)

exact: 17.0ms (3% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

preprocess343.0ms (3%)

Memory

-9.9MiB live, 187.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 898×	`lower-fma.f64`
4 898×	`lower-fma.f32`
2 702×	`lower-*.f32`
2 692×	`lower-*.f64`
1 796×	`lower-+.f64`

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

Symmetry

(abs v)

explain232.0ms (2%)

Memory

-0.3MiB live, 160.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
256	-	256	(6.892006780874985e-276)	`(/.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))))))`
256	-	256	(6.892006780874985e-276)	`(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
256	-	256	(6.892006780874985e-276)	`(.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)))))`
256	-	256	(6.892006780874985e-276)	`(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))`
256	-	256	(6.892006780874985e-276)	`(*.f64 v v)`
256	-	256	(6.892006780874985e-276)	`(.f64 #s(literal 6 binary64) (.f64 v v))`
256	-	256	(6.892006780874985e-276)	`(PI.f64)`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(*.f64 #s(literal 3 binary64) (PI.f64))`
0	-	0	-	`#s(literal 6 binary64)`
0	-	0	-	`v`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (*.f64 v v))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

93.0ms

512×

valid

Compiler

Compiled 302 to 84 computations (72.2% saved)

Precisions

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

ival-mult: 14.0ms (47.6% of total)

ival-sub: 5.0ms (17% of total)

ival-sqrt: 4.0ms (13.6% of total)

ival-div: 3.0ms (10.2% of total)

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

exact: 1.0ms (3.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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 21 to 16 computations (23.8% saved)

simplify271.0ms (2.3%)

Memory

-13.7MiB live, 145.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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)))
✓	cost-diff	320	(/.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))))))

Rules

4 898×	`lower-fma.f64`
4 898×	`lower-fma.f32`
2 702×	`lower-*.f32`
2 692×	`lower-*.f64`
1 796×	`lower-+.f64`

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

localize83.0ms (0.7%)

Memory

-2.6MiB live, 35.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	15.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
✓	accuracy	4.3%	(.f64 #s(literal 6 binary64) (.f64 v v))
✓	accuracy	4.2%	(.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	4.2%	(*.f64 v v)

Samples

23.0ms

256×

valid

Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions

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

ival-mult: 7.0ms (49% of total)

ival-sub: 2.0ms (14% of total)

ival-div: 2.0ms (14% of total)

ival-sqrt: 2.0ms (14% of total)

ival-pi: 1.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (/.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))))))>
#<alt (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))>
#<alt (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))>
#<alt (.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)))))>
#<alt (*.f64 v v)>
#<alt (.f64 #s(literal 6 binary64) (.f64 v v))>

Outputs
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))>
#<alt (+ (* 4/3 (* (pow v 4) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (+ (* 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)))))))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (+ (* 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))))))))))>
#<alt (* -4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 8))))) (pow v 6))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 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 8))) (* 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 12)))))) (pow v 6))>
#<alt (* -4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 8))))) (pow v 6))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 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 8))) (* 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 12)))))) (pow v 6))>
#<alt (* 3 (PI))>
#<alt (+ (* -3 (* (pow v 4) (PI))) (* 3 (PI)))>
#<alt (+ (* -3 (* (pow v 4) (PI))) (* 3 (PI)))>
#<alt (+ (* -3 (* (pow v 4) (PI))) (* 3 (PI)))>
#<alt (* -3 (* (pow v 4) (PI)))>
#<alt (* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))>
#<alt (* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))>
#<alt (* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))>
#<alt (* -3 (* (pow v 4) (PI)))>
#<alt (* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))>
#<alt (* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))>
#<alt (* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))>
#<alt 2>
#<alt (+ 2 (* -6 v))>
#<alt (+ 2 (* -6 v))>
#<alt (+ 2 (* -6 v))>
#<alt (* -6 v)>
#<alt (* v (- (* 2 (/ 1 v)) 6))>
#<alt (* v (- (* 2 (/ 1 v)) 6))>
#<alt (* v (- (* 2 (/ 1 v)) 6))>
#<alt (* 6 v)>
#<alt (* v (+ 6 (* 2 (/ 1 v))))>
#<alt (* v (+ 6 (* 2 (/ 1 v))))>
#<alt (* v (+ 6 (* 2 (/ 1 v))))>
#<alt (* 3 (* (PI) (sqrt 2)))>
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 4) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))>
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 4) (+ (* 3 (* (pow v 4) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))>
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 4) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 4) (+ (* 3 (* (pow v 4) (+ (* -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))))))))))>
#<alt (* -3 (* (pow v 6) (* (PI) (sqrt -6))))>
#<alt (* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4)))))>
#<alt (* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8))))))>
#<alt (* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 12))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8)))))))>
#<alt (* -3 (* (pow v 6) (* (PI) (sqrt -6))))>
#<alt (* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4)))))>
#<alt (* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8))))))>
#<alt (* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 12))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8)))))))>
#<alt v>
#<alt v>
#<alt v>
#<alt v>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (* 6 (pow v 2))>
#<alt (* 6 (pow v 2))>
#<alt (* 6 (pow v 2))>
#<alt (* 6 (pow v 2))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	v	@	inf	(/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
3.0ms	v	@	inf	(* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
2.0ms	v	@	0	(/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
1.0ms	v	@	0	(* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
1.0ms	v	@	-inf	(/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))

Compiler

Compiled 238 to 173 computations (27.3% saved)

rewrite555.0ms (4.8%)

Memory

3.3MiB live, 202.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 770×	`lower-*.f32`
4 760×	`lower-*.f64`
4 634×	`lower-fma.f64`
4 634×	`lower-fma.f32`
2 134×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	62
0	26	62
1	101	60
2	626	60
3	5771	60
0	8439	54

Stop Event

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

Counts

6 → 467

Calls

Call 1

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

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

simplify718.0ms (6.2%)

Memory

14.8MiB live, 528.4MiB allocated

Algorithm

1×	egg-herbie

Rules

18 674×	`lower-fma.f64`
18 674×	`lower-fma.f32`
5 160×	`lower-*.f64`
5 160×	`lower-*.f32`
3 378×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	198	1352
1	596	1172
2	2053	1091
3	6401	1077
0	8116	1030

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 68

Calls

Call 1

Inputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (* (pow v 4) (+ (* 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 4) (+ (* 4/3 (* (pow v 4) (+ (* 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 4) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(* -4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 8))))) (pow v 6))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 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 8))) (* 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 12)))))) (pow v 6))
(* -4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 8))))) (pow v 6))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 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 8))) (* 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 12)))))) (pow v 6))
(* 3 (PI))
(+ (* -3 (* (pow v 4) (PI))) (* 3 (PI)))
(+ (* -3 (* (pow v 4) (PI))) (* 3 (PI)))
(+ (* -3 (* (pow v 4) (PI))) (* 3 (PI)))
(* -3 (* (pow v 4) (PI)))
(* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))
(* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))
(* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))
(* -3 (* (pow v 4) (PI)))
(* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))
(* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))
(* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))
2
(+ 2 (* -6 v))
(+ 2 (* -6 v))
(+ 2 (* -6 v))
(* -6 v)
(* v (- (* 2 (/ 1 v)) 6))
(* v (- (* 2 (/ 1 v)) 6))
(* v (- (* 2 (/ 1 v)) 6))
(* 6 v)
(* v (+ 6 (* 2 (/ 1 v))))
(* v (+ 6 (* 2 (/ 1 v))))
(* v (+ 6 (* 2 (/ 1 v))))
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 4) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 4) (+ (* 3 (* (pow v 4) (+ (* -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 4) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 4) (+ (* 3 (* (pow v 4) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
(* -3 (* (pow v 6) (* (PI) (sqrt -6))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4)))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8))))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 12))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8)))))))
(* -3 (* (pow v 6) (* (PI) (sqrt -6))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4)))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8))))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 12))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8)))))))
v
v
v
v
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* 6 (pow v 2))
(* 6 (pow v 2))
(* 6 (pow v 2))
(* 6 (pow v 2))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)

Outputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(+ (* 4/3 (* (pow v 4) (+ (* 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 (pow.f64 v #s(literal 4 binary64)) (PI.f64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (+ (* 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 (+.f64 (/.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 #s(literal 27/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 8 binary64)) (fma.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (PI.f64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
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(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(* 6 (pow v 2))
(.f64 v (.f64 v #s(literal 6 binary64)))
(* 6 (pow v 2))
(.f64 v (.f64 v #s(literal 6 binary64)))
(* 6 (pow v 2))
(.f64 v (.f64 v #s(literal 6 binary64)))
(* 6 (pow v 2))
(.f64 v (.f64 v #s(literal 6 binary64)))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)

eval150.0ms (1.3%)

Memory: 16.6MiB live, 130.8MiB allocated
Compiler: Compiled 16 123 to 1 827 computations (88.7% saved)

prune151.0ms (1.3%)

Memory

-14.2MiB live, 146.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	547	6	553
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	548	6	554

Accuracy

100.0%

Counts

554 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.1%	(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (neg.f64 v)) v (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
▶	98.4%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
▶	97.1%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
▶	98.6%	(/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) (fma.f64 v v #s(literal 1 binary64)))))
▶	100.0%	(.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))))) (fma.f64 v v #s(literal 1 binary64)))

Compiler

Compiled 218 to 164 computations (24.8% saved)

simplify414.0ms (3.6%)

Memory

-1.7MiB live, 361.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) (PI.f64))
✓	cost-diff	0	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
✓	cost-diff	128	(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	cost-diff	192	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
✓	cost-diff	0	(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) (fma.f64 v v #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) (fma.f64 v v #s(literal 1 binary64)))))
✓	cost-diff	0	(*.f64 (PI.f64) #s(literal 3 binary64))
✓	cost-diff	0	(.f64 (.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	320	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 #s(literal 4/3 binary64) (PI.f64))
✓	cost-diff	0	(.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))))) (fma.f64 v v #s(literal 1 binary64)))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (*.f64 v v))))))

Rules

4 590×	`lower-fma.f32`
4 584×	`lower-fma.f64`
4 490×	`lower-*.f32`
4 460×	`lower-*.f64`
2 168×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	328
0	75	312
1	157	298
2	353	298
3	957	298
4	3139	298
5	4003	298
6	7968	298
0	8159	295

Stop Event

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

Calls

Call 1

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

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

localize307.0ms (2.7%)

Memory

9.7MiB live, 286.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	16.4%	(PI.f64)
✓	accuracy	5.3%	(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	accuracy	4.2%	(-.f64 #s(literal 1 binary64) (*.f64 v v))
✓	accuracy	2.7%	(*.f64 v v)
✓	accuracy	5.3%	(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
✓	accuracy	4.3%	(/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) (fma.f64 v v #s(literal 1 binary64)))))
✓	accuracy	4.2%	(fma.f64 v v #s(literal 1 binary64))
✓	accuracy	2.3%	(*.f64 v #s(literal -6 binary64))
✓	accuracy	16.4%	(PI.f64)
✓	accuracy	15.1%	(*.f64 (PI.f64) #s(literal 3 binary64))
✓	accuracy	4.2%	(.f64 #s(literal 6 binary64) (.f64 v v))
✓	accuracy	2.7%	(*.f64 v v)
✓	accuracy	20.6%	(*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	20.4%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	18.3%	(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
✓	accuracy	16.4%	(PI.f64)
✓	accuracy	3.7%	(.f64 v (.f64 v (*.f64 v v)))
✓	accuracy	3.7%	(.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (*.f64 v v)))))
✓	accuracy	2.7%	(*.f64 v v)
✓	accuracy	2.3%	(*.f64 v #s(literal -6 binary64))

Samples

129.0ms

256×

valid

Compiler

Compiled 678 to 86 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-div: 42.0ms (50.4% of total)

ival-mult: 22.0ms (26.4% of total)

ival-sqrt: 7.0ms (8.4% of total)

ival-add: 4.0ms (4.8% of total)

const: 4.0ms (4.8% of total)

ival-sub: 3.0ms (3.6% of total)

ival-pi: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series95.0ms (0.8%)

Memory

2.3MiB live, 83.0MiB allocated

Counts

26 → 228

Calls

Call 1

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

Outputs
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* 4/3 (/ (* (pow v 4) (sqrt 1/2)) (PI))))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* 4/3 (/ (* (pow v 4) (sqrt 1/2)) (PI))))))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ v (* (PI) (sqrt 1/2))))))))>
#<alt (* -4/3 (/ (sqrt -1/6) (* (pow v 9) (PI))))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* -4/3 (/ (sqrt -1/6) (* (pow v 4) (PI))))) (pow v 9))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* -4/3 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (* -4/3 (/ (sqrt -1/6) (* (pow v 8) (PI)))))) (pow v 9))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* -4/3 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -4/3 (/ (sqrt -1/6) (* (pow v 8) (PI)))) (* 1/27 (/ 1 (* (pow v 10) (* (PI) (sqrt -1/6)))))))) (pow v 9))>
#<alt (* 4/3 (/ (sqrt -1/6) (* (pow v 9) (PI))))>
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* -4/3 (/ (sqrt -1/6) (* (pow v 4) (PI))))) (pow v 9)))>
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* -4/3 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (* -4/3 (/ (sqrt -1/6) (* (pow v 8) (PI)))))) (pow v 9)))>
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* -4/3 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -4/3 (/ (sqrt -1/6) (* (pow v 8) (PI)))) (* 1/27 (/ 1 (* (pow v 10) (* (PI) (sqrt -1/6)))))))) (pow v 9)))>
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))>
#<alt (+ (* 4/3 (* (pow v 3) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 3) (+ (* 4/3 (* (pow v 3) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 3) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 3) (+ (* 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)))))) (* 4/3 (/ (* v (sqrt 1/2)) (PI))))))))>
#<alt (* -4/3 (* (sqrt (/ 1 (pow v 13))) (/ (sqrt -1/6) (PI))))>
#<alt (/ (+ (* -4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI)))) (* -4/3 (* (sqrt (/ 1 (pow v 7))) (/ (sqrt -1/6) (PI))))) (pow v 6))>
#<alt (/ (+ (* -4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI)))) (+ (* -4/3 (* (sqrt (/ 1 (pow v 7))) (/ (sqrt -1/6) (PI)))) (* 1/27 (* (sqrt (/ 1 (pow v 7))) (/ 1 (* (PI) (sqrt -1/6))))))) (pow v 6))>
#<alt (/ (+ (* -4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI)))) (+ (* -4/3 (* (sqrt (/ 1 (pow v 7))) (/ (sqrt -1/6) (PI)))) (+ (* 1/27 (* (sqrt (/ 1 (pow v 7))) (/ 1 (* (PI) (sqrt -1/6))))) (* 4/3 (/ (+ (* 1/108 (* (sqrt v) (/ 1 (* (PI) (sqrt -1/6))))) (* 1/36 (* (sqrt v) (/ 1 (* (PI) (sqrt -1/6)))))) (pow v 7)))))) (pow v 6))>
#<alt (* -4/3 (* (sqrt (/ 1 (pow v 13))) (/ (* (sqrt -1) (sqrt -1/6)) (PI))))>
#<alt (/ (+ (* -4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))) (* 4/3 (* (sqrt (/ 1 (pow v 7))) (/ (* (sqrt -1) (sqrt -1/6)) (PI))))) (pow v 6))>
#<alt (/ (+ (* -4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))) (* -1 (/ (+ (* -4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))) (* -1/27 (* (sqrt (/ 1 v)) (/ (sqrt -1) (* (PI) (sqrt -1/6)))))) (pow v 3)))) (pow v 6))>
#<alt (/ (+ (* -4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))) (* -1 (/ (+ (* -4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))) (* -1 (/ (+ (* -4/3 (/ (+ (* 1/108 (* (sqrt v) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 1/36 (* (sqrt v) (/ (sqrt -1) (* (PI) (sqrt -1/6)))))) (pow v 3))) (* 1/27 (* (sqrt v) (/ (sqrt -1) (* (PI) (sqrt -1/6)))))) v))) (pow v 3)))) (pow v 6))>
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 5) (* (PI) (sqrt 1/2))))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 5) (+ (* 2/3 (/ (* (pow v 5) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (/ 1 (* (PI) (sqrt 1/2))))))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 5) (+ (* (pow v 5) (+ (* 2/3 (/ (* (pow v 5) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (/ 1 (* (PI) (sqrt 1/2))))))>
#<alt (* 4/3 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1/6) (PI))))>
#<alt (/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI))))) (pow v 2))>
#<alt (/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/81 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI)))))) (pow v 2))>
#<alt (/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/81 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/1944 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (pow (sqrt -1/6) 3))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI))))))) (pow v 2))>
#<alt (* 4/3 (* (sqrt (/ 1 (pow v 5))) (/ (* (sqrt -1) (sqrt -1/6)) (PI))))>
#<alt (/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI))))) (pow v 2))>
#<alt (/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (+ (* 1/81 (* (sqrt (/ 1 (pow v 21))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))))) (pow v 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/81 (* (sqrt v) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 1/1944 (* (sqrt v) (/ (sqrt -1) (* (PI) (pow (sqrt -1/6) 3)))))) (pow v 11))) (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))))) (pow v 2))>
#<alt 2>
#<alt (+ 2 (* -6 v))>
#<alt (+ 2 (* -6 v))>
#<alt (+ 2 (* -6 v))>
#<alt (* -6 v)>
#<alt (* v (- (* 2 (/ 1 v)) 6))>
#<alt (* v (- (* 2 (/ 1 v)) 6))>
#<alt (* v (- (* 2 (/ 1 v)) 6))>
#<alt (* 6 v)>
#<alt (* v (+ 6 (* 2 (/ 1 v))))>
#<alt (* v (+ 6 (* 2 (/ 1 v))))>
#<alt (* v (+ 6 (* 2 (/ 1 v))))>
#<alt (* 3 (* (PI) (sqrt 2)))>
#<alt (+ (* -9 (/ (* (pow v 3) (PI)) (sqrt 2))) (* 3 (* (PI) (sqrt 2))))>
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 3) (+ (* -27/2 (/ (* (pow v 3) (PI)) (pow (sqrt 2) 3))) (* -9 (/ (PI) (sqrt 2))))))>
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 3) (+ (* -9 (/ (PI) (sqrt 2))) (* (pow v 3) (+ (* -81/2 (/ (* (pow v 3) (PI)) (pow (sqrt 2) 5))) (* -27/2 (/ (PI) (pow (sqrt 2) 3))))))))>
#<alt (* 3 (* (sqrt (pow v 3)) (* (PI) (sqrt -6))))>
#<alt (* (pow v 2) (+ (* 3 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (* 3 (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6))))))>
#<alt (* (pow v 2) (+ (* -3/2 (* (sqrt (/ 1 (pow v 13))) (/ (PI) (pow (sqrt -6) 3)))) (+ (* 3 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (* 3 (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6)))))))>
#<alt (* (pow v 2) (+ (* -3/2 (* (sqrt (/ 1 (pow v 13))) (/ (PI) (pow (sqrt -6) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (pow v 19))) (/ (PI) (pow (sqrt -6) 5)))) (+ (* 3 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (* 3 (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6))))))))>
#<alt (* 3 (* (sqrt (pow v 3)) (* (PI) (* (sqrt -6) (sqrt -1)))))>
#<alt (* (pow v 2) (+ (* 3 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* 3 (* (sqrt (/ 1 (pow v 7))) (/ (* (PI) (sqrt -1)) (sqrt -6))))))>
#<alt (* (pow v 2) (+ (* -3/2 (* (sqrt (/ 1 (pow v 13))) (/ (* (PI) (sqrt -1)) (pow (sqrt -6) 3)))) (+ (* 3 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* 3 (* (sqrt (/ 1 (pow v 7))) (/ (* (PI) (sqrt -1)) (sqrt -6)))))))>
#<alt (* (pow v 2) (+ (* -3/2 (* (sqrt (/ 1 (pow v 13))) (/ (* (PI) (sqrt -1)) (pow (sqrt -6) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (pow v 19))) (/ (* (PI) (sqrt -1)) (pow (sqrt -6) 5)))) (+ (* 3 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* 3 (* (sqrt (/ 1 (pow v 7))) (/ (* (PI) (sqrt -1)) (sqrt -6))))))))>
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))>
#<alt (+ (* 4/3 (* (pow v 4) (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (/ (sqrt 1/2) (PI))))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (- (+ (* 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)))))))))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (+ (* -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)))))))))))>
#<alt (* 4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))>
#<alt (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))>
#<alt (/ (+ (* 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 8))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))))) (pow v 6))>
#<alt (/ (+ (* 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 8))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 12)))))) (pow v 6))>
#<alt (* 4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))>
#<alt (/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))>
#<alt (/ (+ (* 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 8))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))))) (pow v 6))>
#<alt (/ (+ (* 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 8))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 12)))))) (pow v 6))>
#<alt (* (PI) (sqrt 2))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))))))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 3) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))>
#<alt (* (sqrt (pow v 9)) (* (PI) (sqrt -6)))>
#<alt (* (pow v 5) (+ (* (sqrt (/ 1 v)) (* (PI) (sqrt -6))) (* (sqrt (/ 1 (pow v 7))) (* (PI) (sqrt -6)))))>
#<alt (* (pow v 5) (+ (* (sqrt (/ 1 v)) (* (PI) (sqrt -6))) (+ (* (sqrt (/ 1 (pow v 7))) (* (PI) (sqrt -6))) (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6))))))>
#<alt (* (pow v 5) (+ (* (sqrt (/ 1 v)) (* (PI) (sqrt -6))) (+ (* (sqrt (/ 1 (pow v 7))) (* (PI) (sqrt -6))) (+ (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6))) (* (sqrt (/ 1 (pow v 13))) (/ (PI) (sqrt -6)))))))>
#<alt (* -1 (* (sqrt (pow v 9)) (* (PI) (* (sqrt -6) (sqrt -1)))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 (pow v 7))) (* (PI) (* (sqrt -6) (sqrt -1))))) (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1)))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 v)) (/ (* (PI) (sqrt -1)) (sqrt -6)))) (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (pow v 3))) (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1)))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow v 5))) (/ (* (PI) (sqrt -1)) (sqrt -6)))) (* (sqrt v) (/ (* (PI) (sqrt -1)) (sqrt -6)))) v)) (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (pow v 3))) (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1)))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -3 (/ v (sqrt 2))))>
#<alt (+ (sqrt 2) (* v (- (* -9/2 (/ v (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* v (- (* v (- (* -27/2 (/ v (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (* (sqrt v) (sqrt -6))>
#<alt (* v (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))>
#<alt (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6))))))>
#<alt (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ 1 (pow (sqrt -6) 5)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))))>
#<alt (* -1 (* (sqrt v) (* (sqrt -6) (sqrt -1))))>
#<alt (* -1 (* v (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6))))))>
#<alt (* -1 (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (pow (sqrt -6) 3)))) (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6)))))))>
#<alt (* -1 (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (pow (sqrt -6) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ (sqrt -1) (pow (sqrt -6) 5)))) (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6))))))))>
#<alt 2>
#<alt (+ 2 (* -6 v))>
#<alt (+ 2 (* -6 v))>
#<alt (+ 2 (* -6 v))>
#<alt (* -6 v)>
#<alt (* v (- (* 2 (/ 1 v)) 6))>
#<alt (* v (- (* 2 (/ 1 v)) 6))>
#<alt (* v (- (* 2 (/ 1 v)) 6))>
#<alt (* 6 v)>
#<alt (* v (+ 6 (* 2 (/ 1 v))))>
#<alt (* v (+ 6 (* 2 (/ 1 v))))>
#<alt (* v (+ 6 (* 2 (/ 1 v))))>
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))>
#<alt (+ (* 4/3 (* (pow v 4) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (+ (* 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)))))))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (+ (* 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))))))))))>
#<alt (* -4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 8))))) (pow v 6))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 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 8))) (* 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 12)))))) (pow v 6))>
#<alt (* -4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 8))))) (pow v 6))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 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 8))) (* 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 12)))))) (pow v 6))>
#<alt (* 3 (PI))>
#<alt (+ (* -3 (* (pow v 4) (PI))) (* 3 (PI)))>
#<alt (+ (* -3 (* (pow v 4) (PI))) (* 3 (PI)))>
#<alt (+ (* -3 (* (pow v 4) (PI))) (* 3 (PI)))>
#<alt (* -3 (* (pow v 4) (PI)))>
#<alt (* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))>
#<alt (* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))>
#<alt (* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))>
#<alt (* -3 (* (pow v 4) (PI)))>
#<alt (* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))>
#<alt (* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))>
#<alt (* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))>
#<alt (* 3 (* (PI) (sqrt 2)))>
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 4) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))>
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 4) (+ (* 3 (* (pow v 4) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))>
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 4) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 4) (+ (* 3 (* (pow v 4) (+ (* -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))))))))))>
#<alt (* -3 (* (pow v 6) (* (PI) (sqrt -6))))>
#<alt (* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4)))))>
#<alt (* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8))))))>
#<alt (* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 12))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8)))))))>
#<alt (* -3 (* (pow v 6) (* (PI) (sqrt -6))))>
#<alt (* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4)))))>
#<alt (* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8))))))>
#<alt (* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 12))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8)))))))>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt v>
#<alt v>
#<alt v>
#<alt v>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt v>
#<alt v>
#<alt v>
#<alt v>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -3 (/ v (sqrt 2))))>
#<alt (+ (sqrt 2) (* v (- (* -9/2 (/ v (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* v (- (* v (- (* -27/2 (/ v (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (* -1 (* (pow v 5) (sqrt -6)))>
#<alt (* (pow v 5) (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))))>
#<alt (* (pow v 5) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 6) (sqrt -6)))))>
#<alt (* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 8) (sqrt -6))) (/ (sqrt -6) (pow v 2)))) (/ 1 (* (pow v 6) (sqrt -6)))))>
#<alt (* (pow v 5) (sqrt -6))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2)))))>
#<alt (* -1 (* (pow v 5) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 6) (sqrt -6))))))>
#<alt (* -1 (* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 8) (sqrt -6))) (/ (sqrt -6) (pow v 2)))) (/ 1 (* (pow v 6) (sqrt -6))))))>
#<alt v>
#<alt v>
#<alt v>
#<alt v>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (* 6 (pow v 2))>
#<alt (* 6 (pow v 2))>
#<alt (* 6 (pow v 2))>
#<alt (* 6 (pow v 2))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt 1>
#<alt (+ 1 (pow v 2))>
#<alt (+ 1 (pow v 2))>
#<alt (+ 1 (pow v 2))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (+ 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (+ 1 (/ 1 (pow v 2))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (+ 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (+ 1 (/ 1 (pow v 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>

Calls

57 calls:

Time	Variable		Point	Expression
31.0ms	v	@	-inf	(+ (* v (* v -6)) 2)
24.0ms	v	@	-inf	(* (/ (/ 4/3 (PI)) (* (sqrt (+ (* v (* v -6)) 2)) (- 1 (* v (* v (* v v)))))) (+ (* v v) 1))
4.0ms	v	@	inf	(* (* (PI) 3) (sqrt (- 2 (* 6 (* v v)))))
2.0ms	v	@	inf	(/ 4/3 (* (sqrt (+ (* v (* v -6)) 2)) (* (PI) (+ (* v v) 1))))
2.0ms	v	@	inf	(* (/ (/ 4/3 (PI)) (* (sqrt (+ (* v (* v -6)) 2)) (- 1 (* v (* v (* v v)))))) (+ (* v v) 1))

Compiler

Compiled 826 to 604 computations (26.9% saved)

rewrite1.1s (9.3%)

Memory

-2.4MiB live, 723.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 850×	`lower-*.f32`
4 820×	`lower-*.f64`
4 800×	`lower-/.f32`
4 788×	`lower-/.f64`
3 822×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	234
0	75	223
1	284	211
2	1835	208
0	8225	208

Stop Event

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

Counts

26 → 1 480

Calls

Call 1

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

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

simplify428.0ms (3.7%)

Memory

18.7MiB live, 805.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 034×	`lower-fma.f64`
12 034×	`lower-fma.f32`
7 814×	`lower-*.f64`
7 814×	`lower-*.f32`
3 818×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	664	4734
1	2093	4211
2	7558	4189
0	8312	4029

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 216

Calls

Call 1

Inputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* 4/3 (/ (* (pow v 4) (sqrt 1/2)) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* 4/3 (/ (* (pow v 4) (sqrt 1/2)) (PI))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ v (* (PI) (sqrt 1/2))))))))
(* -4/3 (/ (sqrt -1/6) (* (pow v 9) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* -4/3 (/ (sqrt -1/6) (* (pow v 4) (PI))))) (pow v 9))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* -4/3 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (* -4/3 (/ (sqrt -1/6) (* (pow v 8) (PI)))))) (pow v 9))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* -4/3 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -4/3 (/ (sqrt -1/6) (* (pow v 8) (PI)))) (* 1/27 (/ 1 (* (pow v 10) (* (PI) (sqrt -1/6)))))))) (pow v 9))
(* 4/3 (/ (sqrt -1/6) (* (pow v 9) (PI))))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* -4/3 (/ (sqrt -1/6) (* (pow v 4) (PI))))) (pow v 9)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* -4/3 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (* -4/3 (/ (sqrt -1/6) (* (pow v 8) (PI)))))) (pow v 9)))
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* -4/3 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -4/3 (/ (sqrt -1/6) (* (pow v 8) (PI)))) (* 1/27 (/ 1 (* (pow v 10) (* (PI) (sqrt -1/6)))))))) (pow v 9)))
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (* (pow v 3) (+ (* 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 3) (+ (* 4/3 (* (pow v 3) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 3) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 3) (+ (* 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)))))) (* 4/3 (/ (* v (sqrt 1/2)) (PI))))))))
(* -4/3 (* (sqrt (/ 1 (pow v 13))) (/ (sqrt -1/6) (PI))))
(/ (+ (* -4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI)))) (* -4/3 (* (sqrt (/ 1 (pow v 7))) (/ (sqrt -1/6) (PI))))) (pow v 6))
(/ (+ (* -4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI)))) (+ (* -4/3 (* (sqrt (/ 1 (pow v 7))) (/ (sqrt -1/6) (PI)))) (* 1/27 (* (sqrt (/ 1 (pow v 7))) (/ 1 (* (PI) (sqrt -1/6))))))) (pow v 6))
(/ (+ (* -4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI)))) (+ (* -4/3 (* (sqrt (/ 1 (pow v 7))) (/ (sqrt -1/6) (PI)))) (+ (* 1/27 (* (sqrt (/ 1 (pow v 7))) (/ 1 (* (PI) (sqrt -1/6))))) (* 4/3 (/ (+ (* 1/108 (* (sqrt v) (/ 1 (* (PI) (sqrt -1/6))))) (* 1/36 (* (sqrt v) (/ 1 (* (PI) (sqrt -1/6)))))) (pow v 7)))))) (pow v 6))
(* -4/3 (* (sqrt (/ 1 (pow v 13))) (/ (* (sqrt -1) (sqrt -1/6)) (PI))))
(/ (+ (* -4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))) (* 4/3 (* (sqrt (/ 1 (pow v 7))) (/ (* (sqrt -1) (sqrt -1/6)) (PI))))) (pow v 6))
(/ (+ (* -4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))) (* -1 (/ (+ (* -4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))) (* -1/27 (* (sqrt (/ 1 v)) (/ (sqrt -1) (* (PI) (sqrt -1/6)))))) (pow v 3)))) (pow v 6))
(/ (+ (* -4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))) (* -1 (/ (+ (* -4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))) (* -1 (/ (+ (* -4/3 (/ (+ (* 1/108 (* (sqrt v) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 1/36 (* (sqrt v) (/ (sqrt -1) (* (PI) (sqrt -1/6)))))) (pow v 3))) (* 1/27 (* (sqrt v) (/ (sqrt -1) (* (PI) (sqrt -1/6)))))) v))) (pow v 3)))) (pow v 6))
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 5) (* (PI) (sqrt 1/2))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 5) (+ (* 2/3 (/ (* (pow v 5) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (/ 1 (* (PI) (sqrt 1/2))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 5) (+ (* (pow v 5) (+ (* 2/3 (/ (* (pow v 5) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (/ 1 (* (PI) (sqrt 1/2))))))
(* 4/3 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1/6) (PI))))
(/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI))))) (pow v 2))
(/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/81 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI)))))) (pow v 2))
(/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/81 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/1944 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (pow (sqrt -1/6) 3))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI))))))) (pow v 2))
(* 4/3 (* (sqrt (/ 1 (pow v 5))) (/ (* (sqrt -1) (sqrt -1/6)) (PI))))
(/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI))))) (pow v 2))
(/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (+ (* 1/81 (* (sqrt (/ 1 (pow v 21))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))))) (pow v 2))
(/ (+ (* -1 (/ (+ (* -1/81 (* (sqrt v) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 1/1944 (* (sqrt v) (/ (sqrt -1) (* (PI) (pow (sqrt -1/6) 3)))))) (pow v 11))) (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))))) (pow v 2))
2
(+ 2 (* -6 v))
(+ 2 (* -6 v))
(+ 2 (* -6 v))
(* -6 v)
(* v (- (* 2 (/ 1 v)) 6))
(* v (- (* 2 (/ 1 v)) 6))
(* v (- (* 2 (/ 1 v)) 6))
(* 6 v)
(* v (+ 6 (* 2 (/ 1 v))))
(* v (+ 6 (* 2 (/ 1 v))))
(* v (+ 6 (* 2 (/ 1 v))))
(* 3 (* (PI) (sqrt 2)))
(+ (* -9 (/ (* (pow v 3) (PI)) (sqrt 2))) (* 3 (* (PI) (sqrt 2))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 3) (+ (* -27/2 (/ (* (pow v 3) (PI)) (pow (sqrt 2) 3))) (* -9 (/ (PI) (sqrt 2))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 3) (+ (* -9 (/ (PI) (sqrt 2))) (* (pow v 3) (+ (* -81/2 (/ (* (pow v 3) (PI)) (pow (sqrt 2) 5))) (* -27/2 (/ (PI) (pow (sqrt 2) 3))))))))
(* 3 (* (sqrt (pow v 3)) (* (PI) (sqrt -6))))
(* (pow v 2) (+ (* 3 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (* 3 (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6))))))
(* (pow v 2) (+ (* -3/2 (* (sqrt (/ 1 (pow v 13))) (/ (PI) (pow (sqrt -6) 3)))) (+ (* 3 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (* 3 (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6)))))))
(* (pow v 2) (+ (* -3/2 (* (sqrt (/ 1 (pow v 13))) (/ (PI) (pow (sqrt -6) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (pow v 19))) (/ (PI) (pow (sqrt -6) 5)))) (+ (* 3 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (* 3 (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6))))))))
(* 3 (* (sqrt (pow v 3)) (* (PI) (* (sqrt -6) (sqrt -1)))))
(* (pow v 2) (+ (* 3 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* 3 (* (sqrt (/ 1 (pow v 7))) (/ (* (PI) (sqrt -1)) (sqrt -6))))))
(* (pow v 2) (+ (* -3/2 (* (sqrt (/ 1 (pow v 13))) (/ (* (PI) (sqrt -1)) (pow (sqrt -6) 3)))) (+ (* 3 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* 3 (* (sqrt (/ 1 (pow v 7))) (/ (* (PI) (sqrt -1)) (sqrt -6)))))))
(* (pow v 2) (+ (* -3/2 (* (sqrt (/ 1 (pow v 13))) (/ (* (PI) (sqrt -1)) (pow (sqrt -6) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (pow v 19))) (/ (* (PI) (sqrt -1)) (pow (sqrt -6) 5)))) (+ (* 3 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* 3 (* (sqrt (/ 1 (pow v 7))) (/ (* (PI) (sqrt -1)) (sqrt -6))))))))
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (* (pow v 4) (+ (* -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 4) (+ (* 4/3 (* (pow v 4) (- (+ (* 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 4) (+ (* 4/3 (+ (* -1 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (+ (* -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)))))))))))
(* 4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))
(/ (+ (* 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 8))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))))) (pow v 6))
(/ (+ (* 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 8))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 12)))))) (pow v 6))
(* 4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))
(/ (+ (* 4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))
(/ (+ (* 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 8))) (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))))) (pow v 6))
(/ (+ (* 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 8))) (+ (* 4/3 (/ (- (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 12)))))) (pow v 6))
(* (PI) (sqrt 2))
(+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (* (PI) (sqrt 2)))))
(+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 3) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(* (sqrt (pow v 9)) (* (PI) (sqrt -6)))
(* (pow v 5) (+ (* (sqrt (/ 1 v)) (* (PI) (sqrt -6))) (* (sqrt (/ 1 (pow v 7))) (* (PI) (sqrt -6)))))
(* (pow v 5) (+ (* (sqrt (/ 1 v)) (* (PI) (sqrt -6))) (+ (* (sqrt (/ 1 (pow v 7))) (* (PI) (sqrt -6))) (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6))))))
(* (pow v 5) (+ (* (sqrt (/ 1 v)) (* (PI) (sqrt -6))) (+ (* (sqrt (/ 1 (pow v 7))) (* (PI) (sqrt -6))) (+ (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6))) (* (sqrt (/ 1 (pow v 13))) (/ (PI) (sqrt -6)))))))
(* -1 (* (sqrt (pow v 9)) (* (PI) (* (sqrt -6) (sqrt -1)))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 (pow v 7))) (* (PI) (* (sqrt -6) (sqrt -1))))) (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1)))))))
(* -1 (* (pow v 5) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 v)) (/ (* (PI) (sqrt -1)) (sqrt -6)))) (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (pow v 3))) (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1)))))))
(* -1 (* (pow v 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow v 5))) (/ (* (PI) (sqrt -1)) (sqrt -6)))) (* (sqrt v) (/ (* (PI) (sqrt -1)) (sqrt -6)))) v)) (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (pow v 3))) (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1)))))))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ v (sqrt 2))))
(+ (sqrt 2) (* v (- (* -9/2 (/ v (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* v (- (* v (- (* -27/2 (/ v (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* (sqrt v) (sqrt -6))
(* v (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6))))))
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ 1 (pow (sqrt -6) 5)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))))
(* -1 (* (sqrt v) (* (sqrt -6) (sqrt -1))))
(* -1 (* v (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (pow (sqrt -6) 3)))) (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (pow (sqrt -6) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ (sqrt -1) (pow (sqrt -6) 5)))) (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6))))))))
2
(+ 2 (* -6 v))
(+ 2 (* -6 v))
(+ 2 (* -6 v))
(* -6 v)
(* v (- (* 2 (/ 1 v)) 6))
(* v (- (* 2 (/ 1 v)) 6))
(* v (- (* 2 (/ 1 v)) 6))
(* 6 v)
(* v (+ 6 (* 2 (/ 1 v))))
(* v (+ 6 (* 2 (/ 1 v))))
(* v (+ 6 (* 2 (/ 1 v))))
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (* (pow v 4) (+ (* 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 4) (+ (* 4/3 (* (pow v 4) (+ (* 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 4) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(* -4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 8))))) (pow v 6))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 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 8))) (* 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 12)))))) (pow v 6))
(* -4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 8))))) (pow v 6))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 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 8))) (* 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 12)))))) (pow v 6))
(* 3 (PI))
(+ (* -3 (* (pow v 4) (PI))) (* 3 (PI)))
(+ (* -3 (* (pow v 4) (PI))) (* 3 (PI)))
(+ (* -3 (* (pow v 4) (PI))) (* 3 (PI)))
(* -3 (* (pow v 4) (PI)))
(* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))
(* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))
(* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))
(* -3 (* (pow v 4) (PI)))
(* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))
(* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))
(* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 4) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 4) (+ (* 3 (* (pow v 4) (+ (* -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 4) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 4) (+ (* 3 (* (pow v 4) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
(* -3 (* (pow v 6) (* (PI) (sqrt -6))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4)))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8))))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 12))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8)))))))
(* -3 (* (pow v 6) (* (PI) (sqrt -6))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4)))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8))))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 12))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8)))))))
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
v
v
v
v
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
v
v
v
v
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(sqrt 2)
(+ (sqrt 2) (* -3 (/ v (sqrt 2))))
(+ (sqrt 2) (* v (- (* -9/2 (/ v (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* v (- (* v (- (* -27/2 (/ v (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* -1 (* (pow v 5) (sqrt -6)))
(* (pow v 5) (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))))
(* (pow v 5) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 6) (sqrt -6)))))
(* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 8) (sqrt -6))) (/ (sqrt -6) (pow v 2)))) (/ 1 (* (pow v 6) (sqrt -6)))))
(* (pow v 5) (sqrt -6))
(* -1 (* (pow v 5) (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2)))))
(* -1 (* (pow v 5) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 6) (sqrt -6))))))
(* -1 (* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 8) (sqrt -6))) (/ (sqrt -6) (pow v 2)))) (/ 1 (* (pow v 6) (sqrt -6))))))
v
v
v
v
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* 6 (pow v 2))
(* 6 (pow v 2))
(* 6 (pow v 2))
(* 6 (pow v 2))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
1
(+ 1 (pow v 2))
(+ 1 (pow v 2))
(+ 1 (pow v 2))
(pow v 2)
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(pow v 2)
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
1
(+ 1 (* -1 (pow v 2)))
(+ 1 (* -1 (pow v 2)))
(+ 1 (* -1 (pow v 2)))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))

Outputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* 4/3 (/ (* (pow v 4) (sqrt 1/2)) (PI))))
(.f64 #s(literal 4/3 binary64) (.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* 4/3 (/ (* (pow v 4) (sqrt 1/2)) (PI))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 4/3 binary64)) (*.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ v (* (PI) (sqrt 1/2))))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 v (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))))
(* -4/3 (/ (sqrt -1/6) (* (pow v 9) (PI))))
(/.f64 (.f64 #s(literal -4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (PI.f64) (pow.f64 v #s(literal 9 binary64))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* -4/3 (/ (sqrt -1/6) (* (pow v 4) (PI))))) (pow v 9))
(/.f64 (.f64 #s(literal -4/3 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 9 binary64)))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* -4/3 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (* -4/3 (/ (sqrt -1/6) (* (pow v 8) (PI)))))) (pow v 9))
(/.f64 (.f64 #s(literal -4/3 binary64) (+.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 8 binary64)))))) (pow.f64 v #s(literal 9 binary64)))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* -4/3 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -4/3 (/ (sqrt -1/6) (* (pow v 8) (PI)))) (* 1/27 (/ 1 (* (pow v 10) (* (PI) (sqrt -1/6)))))))) (pow v 9))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (+.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 8 binary64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 10 binary64)))))) (pow.f64 v #s(literal 9 binary64)))
(* 4/3 (/ (sqrt -1/6) (* (pow v 9) (PI))))
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(* 3 (PI))
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(+ (* -3 (* (pow v 4) (PI))) (* 3 (PI)))
(*.f64 (PI.f64) (fma.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 3 binary64)))
(+ (* -3 (* (pow v 4) (PI))) (* 3 (PI)))
(*.f64 (PI.f64) (fma.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 3 binary64)))
(+ (* -3 (* (pow v 4) (PI))) (* 3 (PI)))
(*.f64 (PI.f64) (fma.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 3 binary64)))
(* -3 (* (pow v 4) (PI)))
(.f64 (PI.f64) (.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 4 binary64))))
(* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))
(.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (PI.f64) (/.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 (PI.f64) #s(literal -3 binary64))))
(* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))
(.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (PI.f64) (/.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 (PI.f64) #s(literal -3 binary64))))
(* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))
(.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (PI.f64) (/.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 (PI.f64) #s(literal -3 binary64))))
(* -3 (* (pow v 4) (PI)))
(.f64 (PI.f64) (.f64 #s(literal -3 binary64) (pow.f64 v #s(literal 4 binary64))))
(* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))
(.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (PI.f64) (/.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 (PI.f64) #s(literal -3 binary64))))
(* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))
(.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (PI.f64) (/.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 (PI.f64) #s(literal -3 binary64))))
(* (pow v 4) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 4)))))
(.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (PI.f64) (/.f64 #s(literal 3 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 (PI.f64) #s(literal -3 binary64))))
(* 3 (* (PI) (sqrt 2)))
(.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 4) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(.f64 #s(literal 3 binary64) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (-.f64 (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 4) (+ (* 3 (* (pow v 4) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -27/4 binary64))) (fma.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64) (/.f64 (.f64 #s(literal -9 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 4) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 4) (+ (* 3 (* (pow v 4) (+ (* -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 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -27/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 9/4 binary64))) (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -27/4 binary64)))) (fma.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64) (/.f64 (.f64 #s(literal -9 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(* -3 (* (pow v 6) (* (PI) (sqrt -6))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -6 binary64)))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4)))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (.f64 (PI.f64) (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -6 binary64))))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8))))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 8 binary64)))) (.f64 (PI.f64) (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -6 binary64))))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 12))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8)))))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (+.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 8 binary64))) (/.f64 (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 12 binary64))))) (.f64 (PI.f64) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -6 binary64))))))
(* -3 (* (pow v 6) (* (PI) (sqrt -6))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -6 binary64)))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4)))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (.f64 (PI.f64) (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -6 binary64))))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8))))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 8 binary64)))) (.f64 (PI.f64) (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -6 binary64))))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 12))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8)))))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (+.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 8 binary64))) (/.f64 (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 12 binary64))))) (.f64 (PI.f64) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -6 binary64))))))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
v
v
v
v
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
v
v
v
v
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3 (/ v (sqrt 2))))
(fma.f64 #s(literal -3 binary64) (/.f64 v (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* v (- (* -9/2 (/ v (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 v (fma.f64 (/.f64 v (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* v (- (* v (- (* -27/2 (/ v (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 v (fma.f64 v (-.f64 (/.f64 (*.f64 #s(literal -27/2 binary64) v) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow v 5) (sqrt -6)))
(*.f64 (pow.f64 v #s(literal 5 binary64)) (neg.f64 (sqrt.f64 #s(literal -6 binary64))))
(* (pow v 5) (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))))
(.f64 (pow.f64 v #s(literal 5 binary64)) (-.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))
(* (pow v 5) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 6) (sqrt -6)))))
(.f64 (pow.f64 v #s(literal 5 binary64)) (+.f64 (-.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -6 binary64))))))
(* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 8) (sqrt -6))) (/ (sqrt -6) (pow v 2)))) (/ 1 (* (pow v 6) (sqrt -6)))))
(.f64 (pow.f64 v #s(literal 5 binary64)) (+.f64 (+.f64 (-.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 8 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -6 binary64))))))
(* (pow v 5) (sqrt -6))
(*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -6 binary64)))
(* -1 (* (pow v 5) (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2)))))
(.f64 (-.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (neg.f64 (pow.f64 v #s(literal 5 binary64))))
(* -1 (* (pow v 5) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 6) (sqrt -6))))))
(.f64 (+.f64 (-.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (neg.f64 (pow.f64 v #s(literal 5 binary64))))
(* -1 (* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 8) (sqrt -6))) (/ (sqrt -6) (pow v 2)))) (/ 1 (* (pow v 6) (sqrt -6))))))
(.f64 (pow.f64 v #s(literal 5 binary64)) (neg.f64 (+.f64 (+.f64 (-.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 8 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -6 binary64)))))))
v
v
v
v
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(* 6 (pow v 2))
(.f64 #s(literal 6 binary64) (.f64 v v))
(* 6 (pow v 2))
(.f64 #s(literal 6 binary64) (.f64 v v))
(* 6 (pow v 2))
(.f64 #s(literal 6 binary64) (.f64 v v))
(* 6 (pow v 2))
(.f64 #s(literal 6 binary64) (.f64 v v))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
1
#s(literal 1 binary64)
(+ 1 (pow v 2))
(fma.f64 v v #s(literal 1 binary64))
(+ 1 (pow v 2))
(fma.f64 v v #s(literal 1 binary64))
(+ 1 (pow v 2))
(fma.f64 v v #s(literal 1 binary64))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal 1 binary64))
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal 1 binary64))
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal 1 binary64))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal 1 binary64))
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal 1 binary64))
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* -1 (pow v 2))
(*.f64 v (neg.f64 v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* -1 (pow v 2))
(*.f64 v (neg.f64 v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))

eval299.0ms (2.6%)

Memory: -14.3MiB live, 700.1MiB allocated
Compiler: Compiled 86 649 to 6 064 computations (93% saved)

prune228.0ms (2%)

Memory

-1.5MiB live, 641.4MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	2 067	9	2 076
Fresh	1	0	1
Picked	4	1	5
Done	0	0	0
Total	2 072	10	2 082

Accuracy

100.0%

Counts

2 082 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))
✓	97.1%	(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
▶	97.1%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
	6.9%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (*.f64 v #s(literal 6 binary64)))))
▶	100.0%	(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
	98.5%	(/.f64 #s(literal 4 binary64) (.f64 #s(literal 3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
▶	98.5%	(/.f64 #s(literal 4 binary64) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
	6.9%	(/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (.f64 v #s(literal 6 binary64))) (*.f64 (PI.f64) (fma.f64 v v #s(literal 1 binary64)))))
▶	98.6%	(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
▶	98.6%	(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 271 to 227 computations (16.2% saved)

simplify178.0ms (1.5%)

Memory

22.1MiB live, 337.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

4 490×	`lower-fma.f32`
4 488×	`lower-fma.f64`
2 820×	`lower-*.f32`
2 800×	`lower-*.f64`
1 616×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	301
0	48	299
1	85	295
2	165	295
3	387	295
4	1048	295
5	1645	295
6	3082	295
7	5968	295
0	8030	290

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

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

localize118.0ms (1%)

Memory

-26.4MiB live, 290.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	17.0%	(/.f64 #s(literal 4 binary64) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
✓	accuracy	4.9%	(*.f64 v v)
✓	accuracy	2.3%	(*.f64 v #s(literal -6 binary64))
✓	accuracy	1.6%	(-.f64 #s(literal 1 binary64) (*.f64 v v))
✓	accuracy	17.1%	(PI.f64)
✓	accuracy	17.0%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
✓	accuracy	14.9%	(.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))
✓	accuracy	2.3%	(*.f64 v #s(literal -6 binary64))
✓	accuracy	17.6%	(.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
✓	accuracy	17.1%	(PI.f64)
✓	accuracy	16.4%	(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
✓	accuracy	2.3%	(*.f64 v #s(literal -6 binary64))
✓	accuracy	100.0%	(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	24.4%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	17.1%	(PI.f64)
✓	accuracy	16.0%	(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	4.9%	(*.f64 v v)
✓	accuracy	4.2%	(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
✓	accuracy	2.3%	(*.f64 v #s(literal -6 binary64))
✓	accuracy	1.6%	(-.f64 #s(literal 1 binary64) (*.f64 v v))

Samples

59.0ms

256×

valid

Compiler

Compiled 626 to 57 computations (90.9% saved)

Precisions

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

ival-mult: 17.0ms (46.5% of total)

ival-div: 7.0ms (19.1% of total)

ival-sqrt: 4.0ms (10.9% of total)

const: 3.0ms (8.2% of total)

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

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

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

exact: 1.0ms (2.7% of total)

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

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

series26.0ms (0.2%)

Memory

5.7MiB live, 84.5MiB allocated

Counts

18 → 168

Calls

Call 1

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

Outputs
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))>
#<alt (+ (* 4/3 (* (pow v 4) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (+ (* 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)))))))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (+ (* 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))))))))))>
#<alt (* -4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))>
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#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 8))))) (pow v 6))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 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 8))) (* 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 12)))))) (pow v 6))>
#<alt (* 3 (* (PI) (sqrt 2)))>
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 4) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))>
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 4) (+ (* 3 (* (pow v 4) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))>
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 4) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 4) (+ (* 3 (* (pow v 4) (+ (* -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))))))))))>
#<alt (* -3 (* (pow v 6) (* (PI) (sqrt -6))))>
#<alt (* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4)))))>
#<alt (* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8))))))>
#<alt (* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 12))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8)))))))>
#<alt (* -3 (* (pow v 6) (* (PI) (sqrt -6))))>
#<alt (* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4)))))>
#<alt (* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8))))))>
#<alt (* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 12))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8)))))))>
#<alt (* (PI) (sqrt 2))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 3) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))))))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 3) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 3 (/ (PI) (sqrt 2))) (* (pow v 3) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))>
#<alt (* -1 (* (sqrt (pow v 9)) (* (PI) (sqrt -6))))>
#<alt (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (* (sqrt (/ 1 (pow v 7))) (* (PI) (sqrt -6)))))>
#<alt (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (+ (* -1 (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6)))) (* (sqrt (/ 1 (pow v 7))) (* (PI) (sqrt -6))))))>
#<alt (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (+ (* -1 (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6)))) (+ (* (sqrt (/ 1 (pow v 7))) (* (PI) (sqrt -6))) (* (sqrt (/ 1 (pow v 13))) (/ (PI) (sqrt -6)))))))>
#<alt (* (sqrt (pow v 9)) (* (PI) (* (sqrt -6) (sqrt -1))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* -1 (* (sqrt (/ 1 (pow v 7))) (* (PI) (* (sqrt -6) (sqrt -1))))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* -1 (/ (+ (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1)))) (* (sqrt (/ 1 v)) (/ (* (PI) (sqrt -1)) (sqrt -6)))) (pow v 3))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt v) (/ (* (PI) (sqrt -1)) (sqrt -6)))) (* -1 (* (sqrt (/ 1 (pow v 5))) (/ (* (PI) (sqrt -1)) (sqrt -6))))) v)) (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (pow v 3))))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt v>
#<alt v>
#<alt v>
#<alt v>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt v>
#<alt v>
#<alt v>
#<alt v>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>

Calls

42 calls:

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

Compiler

Compiled 673 to 484 computations (28.1% saved)

rewrite674.0ms (5.8%)

Memory

-114.6MiB live, 937.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 020×	`lower-*.f32`
6 000×	`lower-*.f64`
5 498×	`lower-fma.f32`
5 496×	`lower-fma.f64`
3 602×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	177
0	48	175
1	162	171
2	928	171
3	7964	171
0	9049	171

Stop Event

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

Counts

18 → 1 867

Calls

Call 1

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

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

simplify411.0ms (3.6%)

Memory

-26.8MiB live, 979.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 876×	`lower-fma.f64`
10 876×	`lower-fma.f32`
7 278×	`lower-*.f64`
7 278×	`lower-*.f32`
2 976×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	575	4962
1	1849	4364
2	7047	4311
0	8117	4128

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 160

Calls

Call 1

Inputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (* (pow v 4) (+ (* 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 4) (+ (* 4/3 (* (pow v 4) (+ (* 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 4) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(* -4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 8))))) (pow v 6))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 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 8))) (* 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 12)))))) (pow v 6))
(* -4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 8))))) (pow v 6))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 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 8))) (* 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 12)))))) (pow v 6))
(* 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))))))))))
(* -3 (* (sqrt (pow v 9)) (sqrt -6)))
(* (pow v 5) (+ (* -3 (* (sqrt (/ 1 v)) (sqrt -6))) (* 3 (* (sqrt (/ 1 (pow v 7))) (sqrt -6)))))
(* (pow v 5) (+ (* -3 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -3 (* (sqrt (/ 1 (pow v 7))) (/ 1 (sqrt -6)))) (* 3 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))))))
(* (pow v 5) (+ (* -3 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -3 (* (sqrt (/ 1 (pow v 7))) (/ 1 (sqrt -6)))) (+ (* 3 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))) (* 3 (* (sqrt (/ 1 (pow v 13))) (/ 1 (sqrt -6))))))))
(* 3 (* (sqrt (pow v 9)) (* (sqrt -6) (sqrt -1))))
(* -1 (* (pow v 5) (+ (* -3 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* -3 (* (sqrt (/ 1 (pow v 7))) (* (sqrt -6) (sqrt -1)))))))
(* -1 (* (pow v 5) (+ (* -3 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* -1 (/ (+ (* 3 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* 3 (* (sqrt (/ 1 v)) (/ (sqrt -1) (sqrt -6))))) (pow v 3))))))
(* -1 (* (pow v 5) (+ (* -3 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* -1 (/ (+ (* -1 (/ (+ (* -3 (* (sqrt v) (/ (sqrt -1) (sqrt -6)))) (* -3 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (sqrt -6))))) v)) (* 3 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))))) (pow v 3))))))
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 4) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 4) (+ (* 3 (* (pow v 4) (+ (* -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 4) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 4) (+ (* 3 (* (pow v 4) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
(* -3 (* (pow v 6) (* (PI) (sqrt -6))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4)))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8))))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 12))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8)))))))
(* -3 (* (pow v 6) (* (PI) (sqrt -6))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4)))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8))))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 12))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8)))))))
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 5) (* (PI) (sqrt 1/2))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 5) (+ (* 2/3 (/ (* (pow v 5) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (/ 1 (* (PI) (sqrt 1/2))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 5) (+ (* (pow v 5) (+ (* 2/3 (/ (* (pow v 5) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (/ 1 (* (PI) (sqrt 1/2))))))
(* 4/3 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1/6) (PI))))
(/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI))))) (pow v 2))
(/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/81 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI)))))) (pow v 2))
(/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/81 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/1944 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (pow (sqrt -1/6) 3))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI))))))) (pow v 2))
(* 4/3 (* (sqrt (/ 1 (pow v 5))) (/ (* (sqrt -1) (sqrt -1/6)) (PI))))
(/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI))))) (pow v 2))
(/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (+ (* 1/81 (* (sqrt (/ 1 (pow v 21))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))))) (pow v 2))
(/ (+ (* -1 (/ (+ (* -1/81 (* (sqrt v) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 1/1944 (* (sqrt v) (/ (sqrt -1) (* (PI) (pow (sqrt -1/6) 3)))))) (pow v 11))) (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))))) (pow v 2))
(* (PI) (sqrt 2))
(+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))
(* v (* (PI) (sqrt -6)))
(* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (* (PI) (sqrt -6))))
(* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ v (sqrt 2))))
(+ (sqrt 2) (* v (- (* -9/2 (/ v (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* v (- (* v (- (* -27/2 (/ v (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* (sqrt v) (sqrt -6))
(* v (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6))))))
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ 1 (pow (sqrt -6) 5)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))))
(* -1 (* (sqrt v) (* (sqrt -6) (sqrt -1))))
(* -1 (* v (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (pow (sqrt -6) 3)))) (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (pow (sqrt -6) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ (sqrt -1) (pow (sqrt -6) 5)))) (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6))))))))
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 5) (* (PI) (sqrt 1/2))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 5) (+ (* 2/3 (/ (* (pow v 5) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (/ 1 (* (PI) (sqrt 1/2))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 5) (+ (* (pow v 5) (+ (* 2/3 (/ (* (pow v 5) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (/ 1 (* (PI) (sqrt 1/2))))))
(* 4/3 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1/6) (PI))))
(/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI))))) (pow v 2))
(/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/81 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI)))))) (pow v 2))
(/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/81 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/1944 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (pow (sqrt -1/6) 3))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI))))))) (pow v 2))
(* 4/3 (* (sqrt (/ 1 (pow v 5))) (/ (* (sqrt -1) (sqrt -1/6)) (PI))))
(/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI))))) (pow v 2))
(/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (+ (* 1/81 (* (sqrt (/ 1 (pow v 21))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))))) (pow v 2))
(/ (+ (* -1 (/ (+ (* -1/81 (* (sqrt v) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 1/1944 (* (sqrt v) (/ (sqrt -1) (* (PI) (pow (sqrt -1/6) 3)))))) (pow v 11))) (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))))) (pow v 2))
(* 3 (* (PI) (sqrt 2)))
(+ (* -9 (/ (* (pow v 3) (PI)) (sqrt 2))) (* 3 (* (PI) (sqrt 2))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 3) (+ (* -27/2 (/ (* (pow v 3) (PI)) (pow (sqrt 2) 3))) (* -9 (/ (PI) (sqrt 2))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 3) (+ (* -9 (/ (PI) (sqrt 2))) (* (pow v 3) (+ (* -81/2 (/ (* (pow v 3) (PI)) (pow (sqrt 2) 5))) (* -27/2 (/ (PI) (pow (sqrt 2) 3))))))))
(* 3 (* (sqrt (pow v 3)) (* (PI) (sqrt -6))))
(* (pow v 2) (+ (* 3 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (* 3 (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6))))))
(* (pow v 2) (+ (* -3/2 (* (sqrt (/ 1 (pow v 13))) (/ (PI) (pow (sqrt -6) 3)))) (+ (* 3 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (* 3 (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6)))))))
(* (pow v 2) (+ (* -3/2 (* (sqrt (/ 1 (pow v 13))) (/ (PI) (pow (sqrt -6) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (pow v 19))) (/ (PI) (pow (sqrt -6) 5)))) (+ (* 3 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (* 3 (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6))))))))
(* 3 (* (sqrt (pow v 3)) (* (PI) (* (sqrt -6) (sqrt -1)))))
(* (pow v 2) (+ (* 3 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* 3 (* (sqrt (/ 1 (pow v 7))) (/ (* (PI) (sqrt -1)) (sqrt -6))))))
(* (pow v 2) (+ (* -3/2 (* (sqrt (/ 1 (pow v 13))) (/ (* (PI) (sqrt -1)) (pow (sqrt -6) 3)))) (+ (* 3 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* 3 (* (sqrt (/ 1 (pow v 7))) (/ (* (PI) (sqrt -1)) (sqrt -6)))))))
(* (pow v 2) (+ (* -3/2 (* (sqrt (/ 1 (pow v 13))) (/ (* (PI) (sqrt -1)) (pow (sqrt -6) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (pow v 19))) (/ (* (PI) (sqrt -1)) (pow (sqrt -6) 5)))) (+ (* 3 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* 3 (* (sqrt (/ 1 (pow v 7))) (/ (* (PI) (sqrt -1)) (sqrt -6))))))))
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (* (pow v 4) (+ (* 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 4) (+ (* 4/3 (* (pow v 4) (+ (* 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 4) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(* -4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 8))))) (pow v 6))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 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 8))) (* 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 12)))))) (pow v 6))
(* -4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 8))))) (pow v 6))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 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 8))) (* 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 12)))))) (pow v 6))
(* 3 (* (PI) (sqrt 2)))
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 4) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 4) (+ (* 3 (* (pow v 4) (+ (* -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 4) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 4) (+ (* 3 (* (pow v 4) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))
(* -3 (* (pow v 6) (* (PI) (sqrt -6))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4)))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8))))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 12))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8)))))))
(* -3 (* (pow v 6) (* (PI) (sqrt -6))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4)))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8))))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 12))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8)))))))
(* (PI) (sqrt 2))
(+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))
(+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 3) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 3) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 3 (/ (PI) (sqrt 2))) (* (pow v 3) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(* -1 (* (sqrt (pow v 9)) (* (PI) (sqrt -6))))
(* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (* (sqrt (/ 1 (pow v 7))) (* (PI) (sqrt -6)))))
(* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (+ (* -1 (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6)))) (* (sqrt (/ 1 (pow v 7))) (* (PI) (sqrt -6))))))
(* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (+ (* -1 (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6)))) (+ (* (sqrt (/ 1 (pow v 7))) (* (PI) (sqrt -6))) (* (sqrt (/ 1 (pow v 13))) (/ (PI) (sqrt -6)))))))
(* (sqrt (pow v 9)) (* (PI) (* (sqrt -6) (sqrt -1))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* -1 (* (sqrt (/ 1 (pow v 7))) (* (PI) (* (sqrt -6) (sqrt -1))))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* -1 (/ (+ (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1)))) (* (sqrt (/ 1 v)) (/ (* (PI) (sqrt -1)) (sqrt -6)))) (pow v 3))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt v) (/ (* (PI) (sqrt -1)) (sqrt -6)))) (* -1 (* (sqrt (/ 1 (pow v 5))) (/ (* (PI) (sqrt -1)) (sqrt -6))))) v)) (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (pow v 3))))))
1
(+ 1 (* -1 (pow v 2)))
(+ 1 (* -1 (pow v 2)))
(+ 1 (* -1 (pow v 2)))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
v
v
v
v
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
v
v
v
v
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)

Outputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(+ (* 4/3 (* (pow v 4) (+ (* 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 v v) (.f64 v v)) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))
(fma.f64 (.f64 #s(literal 4/3 binary64) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 (.f64 (.f64 v v) (.f64 v v)) (+.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 #s(literal 27/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (+ (* 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 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal 4/3 binary64) (+.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) (+.f64 (+.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 #s(literal 27/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.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 #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)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))
(* -4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))
(/.f64 (.f64 #s(literal -4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (PI.f64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (*.f64 v v))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (.f64 #s(literal 4/3 binary64) (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (.f64 (.f64 v v) (.f64 v v)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v)))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 8))))) (pow v 6))
(/.f64 (fma.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/144 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 v v) (.f64 v v))))) (/.f64 (.f64 #s(literal -4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (PI.f64))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (*.f64 v v)))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 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 8))) (* 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 12)))))) (pow v 6))
(/.f64 (fma.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 (.f64 v v) (.f64 v v))) (+.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/144 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (/.f64 #s(literal 1/144 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 #s(literal 5/2592 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 12 binary64))))) (/.f64 (.f64 #s(literal -4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (PI.f64))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v)))
(* -4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))
(/.f64 (.f64 #s(literal -4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (PI.f64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (*.f64 v v))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (.f64 #s(literal 4/3 binary64) (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (.f64 (.f64 v v) (.f64 v v)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v)))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 8))))) (pow v 6))
(/.f64 (fma.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/144 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 v v) (.f64 v v))))) (/.f64 (.f64 #s(literal -4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (PI.f64))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (*.f64 v v)))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 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 8))) (* 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 12)))))) (pow v 6))
(/.f64 (fma.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 (.f64 v v) (.f64 v v))) (+.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/144 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (/.f64 #s(literal 1/144 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 #s(literal 5/2592 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 12 binary64))))) (/.f64 (.f64 #s(literal -4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (PI.f64))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v)))
(* 3 (sqrt 2))
(*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 3 (sqrt 2)) (* 3 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(.f64 #s(literal 3 binary64) (fma.f64 (.f64 v v) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 3 (sqrt 2)) (* (pow v 2) (+ (* 3 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(fma.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (.f64 v v)) (fma.f64 (.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 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (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 v v) (fma.f64 (.f64 #s(literal 3 binary64) (.f64 v v)) (-.f64 (fma.f64 (.f64 v v) (+.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 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* -3 (* (sqrt (pow v 9)) (sqrt -6)))
(.f64 (sqrt.f64 (pow.f64 v #s(literal 9 binary64))) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -3 binary64)))
(* (pow v 5) (+ (* -3 (* (sqrt (/ 1 v)) (sqrt -6))) (* 3 (* (sqrt (/ 1 (pow v 7))) (sqrt -6)))))
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(* (pow v 5) (+ (* -3 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -3 (* (sqrt (/ 1 (pow v 7))) (/ 1 (sqrt -6)))) (* 3 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))))))
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(.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 v v) (.f64 v v))))) (.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -3 binary64)))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 12))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8)))))))
(.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v)) (fma.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 v v) (.f64 v v))))) (/.f64 (.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 (PI.f64) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))) (pow.f64 v #s(literal 12 binary64))))))
(* -3 (* (pow v 6) (* (PI) (sqrt -6))))
(.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v)) (.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -3 binary64))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4)))))
(.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v)) (fma.f64 #s(literal 3 binary64) (/.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 v v) (.f64 v v))) (.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -3 binary64)))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8))))))
(.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 v v) (.f64 v v))))) (.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -3 binary64)))))
(* (pow v 6) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 4))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 12))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 8)))))))
(.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v)) (fma.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (fma.f64 #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 v v) (.f64 v v))))) (/.f64 (.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 (PI.f64) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))) (pow.f64 v #s(literal 12 binary64))))))
(* (PI) (sqrt 2))
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))
(fma.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v (.f64 v v)) (-.f64 (/.f64 (.f64 (PI.f64) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 3) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))))))
(fma.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v (.f64 v v)) (fma.f64 (PI.f64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 3) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 3 (/ (PI) (sqrt 2))) (* (pow v 3) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 9/4 binary64) (/.f64 (.f64 (PI.f64) #s(literal -27/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64)))) (-.f64 (/.f64 (.f64 (PI.f64) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (sqrt (pow v 9)) (* (PI) (sqrt -6))))
(.f64 (sqrt.f64 (pow.f64 v #s(literal 9 binary64))) (neg.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))))
(* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (* (sqrt (/ 1 (pow v 7))) (* (PI) (sqrt -6)))))
(.f64 (pow.f64 v #s(literal 5 binary64)) (.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) v)))))
(* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (+ (* -1 (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6)))) (* (sqrt (/ 1 (pow v 7))) (* (PI) (sqrt -6))))))
(.f64 (pow.f64 v #s(literal 5 binary64)) (fma.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) v))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 7 binary64)))) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))))))
(* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (+ (* -1 (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6)))) (+ (* (sqrt (/ 1 (pow v 7))) (* (PI) (sqrt -6))) (* (sqrt (/ 1 (pow v 13))) (/ (PI) (sqrt -6)))))))
(.f64 (pow.f64 v #s(literal 5 binary64)) (+.f64 (fma.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) v))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 7 binary64)))) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 13 binary64)))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))))))
(* (sqrt (pow v 9)) (* (PI) (* (sqrt -6) (sqrt -1))))
(.f64 (sqrt.f64 (pow.f64 v #s(literal 9 binary64))) (.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* -1 (* (sqrt (/ 1 (pow v 7))) (* (PI) (* (sqrt -6) (sqrt -1))))))))
(.f64 (pow.f64 v #s(literal 5 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 7 binary64)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* -1 (/ (+ (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1)))) (* (sqrt (/ 1 v)) (/ (* (PI) (sqrt -1)) (sqrt -6)))) (pow v 3))))))
(.f64 (pow.f64 v #s(literal 5 binary64)) (fma.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (/.f64 (.f64 (PI.f64) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (.f64 v (*.f64 v v))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt v) (/ (* (PI) (sqrt -1)) (sqrt -6)))) (* -1 (* (sqrt (/ 1 (pow v 5))) (/ (* (PI) (sqrt -1)) (sqrt -6))))) v)) (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (pow v 3))))))
(.f64 (pow.f64 v #s(literal 5 binary64)) (fma.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (+.f64 (sqrt.f64 v) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 5 binary64)))))) v)) (.f64 v (*.f64 v v)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* -1 (pow v 2))
(*.f64 v (neg.f64 v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* -1 (pow v 2))
(*.f64 v (neg.f64 v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
v
v
v
v
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
v
v
v
v
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)

eval368.0ms (3.2%)

Memory: 40.7MiB live, 936.0MiB allocated
Compiler: Compiled 68 360 to 5 211 computations (92.4% saved)

prune263.0ms (2.3%)

Memory

9.2MiB live, 615.2MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	2 549	4	2 553
Fresh	1	3	4
Picked	2	3	5
Done	0	1	1
Total	2 552	11	2 563

Accuracy

100.0%

Counts

2 563 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.1%	(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
✓	97.1%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
▶	6.9%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (*.f64 v #s(literal 6 binary64)))))
	98.5%	(/.f64 #s(literal 4 binary64) (.f64 #s(literal 3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
▶	6.9%	(/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (.f64 v #s(literal 6 binary64))) (*.f64 (PI.f64) (fma.f64 v v #s(literal 1 binary64)))))
▶	100.0%	(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
✓	98.6%	(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
▶	98.6%	(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (neg.f64 v) #s(literal 2 binary64)))))
✓	98.6%	(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
	100.0%	(/.f64 #s(literal -4/3 binary64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (neg.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))))
▶	98.6%	(.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) #s(literal 1/3 binary64))

Compiler

Compiled 254 to 210 computations (17.3% saved)

simplify252.0ms (2.2%)

Memory

-4.0MiB live, 348.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

3 738×	`lower-fma.f32`
3 732×	`lower-fma.f64`
3 698×	`lower-*.f32`
3 674×	`lower-*.f64`
1 770×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	244
0	63	242
1	111	240
2	208	240
3	450	240
4	883	240
5	1354	240
6	2433	240
7	5867	240
0	8152	239

Stop Event

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

Calls

Call 1

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

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

localize132.0ms (1.1%)

Memory

19.4MiB live, 256.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	6.9%	(.f64 (sqrt.f64 (.f64 v #s(literal 6 binary64))) (*.f64 (PI.f64) (fma.f64 v v #s(literal 1 binary64))))
✓	accuracy	6.8%	(sqrt.f64 (*.f64 v #s(literal 6 binary64)))
✓	accuracy	5.3%	(fma.f64 v v #s(literal 1 binary64))
✓	accuracy	4.5%	(*.f64 v #s(literal 6 binary64))
✓	accuracy	17.6%	(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
✓	accuracy	5.4%	(.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) #s(literal 1/3 binary64))
✓	accuracy	5.3%	(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
✓	accuracy	2.3%	(*.f64 v #s(literal -6 binary64))
✓	accuracy	6.9%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (*.f64 v #s(literal 6 binary64)))))
✓	accuracy	6.8%	(sqrt.f64 (*.f64 v #s(literal 6 binary64)))
✓	accuracy	4.5%	(*.f64 v #s(literal 6 binary64))
✓	accuracy	2.3%	(*.f64 (PI.f64) #s(literal 3 binary64))
✓	accuracy	19.7%	(fma.f64 v (neg.f64 v) #s(literal 2 binary64))
✓	accuracy	17.6%	(sqrt.f64 (fma.f64 v (neg.f64 v) #s(literal 2 binary64)))
✓	accuracy	17.0%	(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (neg.f64 v) #s(literal 2 binary64)))))
✓	accuracy	2.3%	(neg.f64 v)
✓	accuracy	5.3%	(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
✓	accuracy	4.2%	(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
✓	accuracy	2.7%	(*.f64 v v)
✓	accuracy	2.3%	(*.f64 v #s(literal -6 binary64))

Samples

70.0ms

256×

valid

Compiler

Compiled 509 to 74 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 19.0ms (38.1% of total)

ival-div: 9.0ms (18% of total)

const: 7.0ms (14% of total)

ival-add: 5.0ms (10% of total)

ival-sqrt: 5.0ms (10% of total)

ival-pi: 1.0ms (2% of total)

ival-sub: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

series50.0ms (0.4%)

Memory

0.5MiB live, 116.5MiB allocated

Counts

23 → 252

Calls

Call 1

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

Outputs
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))>
#<alt (+ (* 4/3 (* (pow v 4) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (+ (* 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)))))))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (+ (* 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))))))))))>
#<alt (* -4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 8))))) (pow v 6))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 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 8))) (* 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 12)))))) (pow v 6))>
#<alt (* -4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 8))))) (pow v 6))>
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 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 8))) (* 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 12)))))) (pow v 6))>
#<alt (* (PI) (sqrt 2))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 3) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))))))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 3) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 3 (/ (PI) (sqrt 2))) (* (pow v 3) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))>
#<alt (* -1 (* (sqrt (pow v 9)) (* (PI) (sqrt -6))))>
#<alt (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (* (sqrt (/ 1 (pow v 7))) (* (PI) (sqrt -6)))))>
#<alt (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (+ (* -1 (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6)))) (* (sqrt (/ 1 (pow v 7))) (* (PI) (sqrt -6))))))>
#<alt (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (+ (* -1 (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6)))) (+ (* (sqrt (/ 1 (pow v 7))) (* (PI) (sqrt -6))) (* (sqrt (/ 1 (pow v 13))) (/ (PI) (sqrt -6)))))))>
#<alt (* (sqrt (pow v 9)) (* (PI) (* (sqrt -6) (sqrt -1))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* -1 (* (sqrt (/ 1 (pow v 7))) (* (PI) (* (sqrt -6) (sqrt -1))))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* -1 (/ (+ (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1)))) (* (sqrt (/ 1 v)) (/ (* (PI) (sqrt -1)) (sqrt -6)))) (pow v 3))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt v) (/ (* (PI) (sqrt -1)) (sqrt -6)))) (* -1 (* (sqrt (/ 1 (pow v 5))) (/ (* (PI) (sqrt -1)) (sqrt -6))))) v)) (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (pow v 3))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* v (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* v (- (+ (* -1 (sqrt 2)) (* v (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* v (- (+ (* -1 (sqrt 2)) (* v (- (+ (* 3 (/ 1 (sqrt 2))) (* v (- (* 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))))))>
#<alt (* -1 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<alt (* (pow v 3) (sqrt -6))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* -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))))))>
#<alt (* -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))))))>
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))>
#<alt (+ (* 1/6 (/ (pow v 5) (* (PI) (sqrt 1/2)))) (* 4/3 (/ (sqrt 1/2) (PI))))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 5) (+ (* 2/3 (/ (* (pow v 5) (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 1/6 (/ 1 (* (PI) (sqrt 1/2)))))))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 5) (+ (* (pow v 5) (+ (* 2/3 (/ (* (pow v 5) (- 1/16 (* 1/8 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (* 1/6 (/ 1 (* (PI) (sqrt 1/2)))))))>
#<alt (* 4/3 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (PI))))>
#<alt (/ (+ (* -4/3 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1) (PI))))) (pow v 2))>
#<alt (/ (+ (* -8/3 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (sqrt -1))))) (+ (* -4/3 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1) (PI)))))) (pow v 2))>
#<alt (/ (+ (* -8/3 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (sqrt -1))))) (+ (* -4/3 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1))))) (+ (* -2/3 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (pow (sqrt -1) 3))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1) (PI))))))) (pow v 2))>
#<alt (* 4/3 (* (sqrt (/ 1 (pow v 5))) (/ (pow (sqrt -1) 2) (PI))))>
#<alt (/ (+ (* -4/3 (* (sqrt (/ 1 (pow v 11))) (/ 1 (PI)))) (* 4/3 (* (sqrt (/ 1 v)) (/ (pow (sqrt -1) 2) (PI))))) (pow v 2))>
#<alt (/ (+ (* -4/3 (* (sqrt (/ 1 (pow v 11))) (/ 1 (PI)))) (+ (* 4/3 (* (sqrt (/ 1 v)) (/ (pow (sqrt -1) 2) (PI)))) (* 8/3 (* (sqrt (/ 1 (pow v 21))) (/ 1 (PI)))))) (pow v 2))>
#<alt (/ (+ (* -4/3 (* (sqrt (/ 1 (pow v 11))) (/ 1 (PI)))) (+ (* -1 (/ (+ (* -8/3 (* (sqrt v) (/ 1 (PI)))) (* 2/3 (* (sqrt v) (/ 1 (* (PI) (pow (sqrt -1) 2)))))) (pow v 11))) (* 4/3 (* (sqrt (/ 1 v)) (/ (pow (sqrt -1) 2) (PI)))))) (pow v 2))>
#<alt (* (PI) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2)))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -1/2 (/ (PI) (sqrt 2))) (* -1/8 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))))))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -1/2 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -1/8 (/ (PI) (pow (sqrt 2) 3))) (* -1/16 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))))))))>
#<alt (* v (* (PI) (sqrt -1)))>
#<alt (* v (+ (* (PI) (sqrt -1)) (/ (PI) (* (pow v 2) (sqrt -1)))))>
#<alt (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -1) 3)))) (+ (* (PI) (sqrt -1)) (/ (PI) (* (pow v 2) (sqrt -1))))))>
#<alt (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -1) 5)))) (+ (* (PI) (sqrt -1)) (/ (PI) (* (pow v 2) (sqrt -1)))))))>
#<alt (* -1 (* v (* (PI) (sqrt -1))))>
#<alt (* -1 (* v (+ (* (PI) (sqrt -1)) (/ (PI) (* (pow v 2) (sqrt -1))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -1) 3)))) (+ (* (PI) (sqrt -1)) (/ (PI) (* (pow v 2) (sqrt -1)))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -1) 5)))) (+ (* (PI) (sqrt -1)) (/ (PI) (* (pow v 2) (sqrt -1))))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -1/2 (/ v (sqrt 2))))>
#<alt (+ (sqrt 2) (* v (- (* -1/8 (/ v (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* v (- (* v (- (* -1/16 (/ v (pow (sqrt 2) 5))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (sqrt 2))))))>
#<alt (* (sqrt v) (sqrt -1))>
#<alt (* v (+ (* (sqrt (/ 1 v)) (sqrt -1)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -1)))))>
#<alt (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* (sqrt (/ 1 v)) (sqrt -1)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -1))))))>
#<alt (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* (sqrt (/ 1 v)) (sqrt -1)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -1)))))))>
#<alt (* -1 (* (sqrt v) (pow (sqrt -1) 2)))>
#<alt (* -1 (* v (+ (sqrt (/ 1 (pow v 3))) (* (sqrt (/ 1 v)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* v (+ (sqrt (/ 1 (pow v 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 v)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* v (+ (sqrt (/ 1 (pow v 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 v)) (pow (sqrt -1) 2)))))))>
#<alt (* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))>
#<alt (* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))>
#<alt (* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))>
#<alt (* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))>
#<alt (* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))>
#<alt (* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))>
#<alt (* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))>
#<alt (* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))>
#<alt (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1) (* (PI) (sqrt -6)))))>
#<alt (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1) (* (PI) (sqrt -6)))))>
#<alt (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1) (* (PI) (sqrt -6)))))>
#<alt (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1) (* (PI) (sqrt -6)))))>
#<alt (* 3 (* (sqrt v) (* (PI) (sqrt 6))))>
#<alt (* 3 (* (sqrt v) (* (PI) (sqrt 6))))>
#<alt (* 3 (* (sqrt v) (* (PI) (sqrt 6))))>
#<alt (* 3 (* (sqrt v) (* (PI) (sqrt 6))))>
#<alt (* 3 (* (sqrt v) (* (PI) (sqrt 6))))>
#<alt (* 3 (* (sqrt v) (* (PI) (sqrt 6))))>
#<alt (* 3 (* (sqrt v) (* (PI) (sqrt 6))))>
#<alt (* 3 (* (sqrt v) (* (PI) (sqrt 6))))>
#<alt (* -3 (* (sqrt v) (* (PI) (* (sqrt -6) (sqrt -1)))))>
#<alt (* -3 (* (sqrt v) (* (PI) (* (sqrt -6) (sqrt -1)))))>
#<alt (* -3 (* (sqrt v) (* (PI) (* (sqrt -6) (sqrt -1)))))>
#<alt (* -3 (* (sqrt v) (* (PI) (* (sqrt -6) (sqrt -1)))))>
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 5) (* (PI) (sqrt 1/2))))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 5) (+ (* 2/3 (/ (* (pow v 5) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (/ 1 (* (PI) (sqrt 1/2))))))>
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 5) (+ (* (pow v 5) (+ (* 2/3 (/ (* (pow v 5) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (/ 1 (* (PI) (sqrt 1/2))))))>
#<alt (* 4/3 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1/6) (PI))))>
#<alt (/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI))))) (pow v 2))>
#<alt (/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/81 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI)))))) (pow v 2))>
#<alt (/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/81 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/1944 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (pow (sqrt -1/6) 3))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI))))))) (pow v 2))>
#<alt (* 4/3 (* (sqrt (/ 1 (pow v 5))) (/ (* (sqrt -1) (sqrt -1/6)) (PI))))>
#<alt (/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI))))) (pow v 2))>
#<alt (/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (+ (* 1/81 (* (sqrt (/ 1 (pow v 21))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))))) (pow v 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/81 (* (sqrt v) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 1/1944 (* (sqrt v) (/ (sqrt -1) (* (PI) (pow (sqrt -1/6) 3)))))) (pow v 11))) (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))))) (pow v 2))>
#<alt (* 4 (/ (sqrt 1/2) (PI)))>
#<alt (+ (* 3 (/ (pow v 5) (* (PI) (sqrt 1/2)))) (* 4 (/ (sqrt 1/2) (PI))))>
#<alt (+ (* 4 (/ (sqrt 1/2) (PI))) (* (pow v 5) (+ (* 2 (/ (* (pow v 5) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 3 (/ 1 (* (PI) (sqrt 1/2)))))))>
#<alt (+ (* 4 (/ (sqrt 1/2) (PI))) (* (pow v 5) (+ (* (pow v 5) (+ (* 2 (/ (* (pow v 5) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* (PI) (sqrt 1/2)))))))>
#<alt (* 4 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1/6) (PI))))>
#<alt (/ (+ (* -1/9 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (* 4 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI))))) (pow v 2))>
#<alt (/ (+ (* -1/9 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/27 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (sqrt -1/6))))) (* 4 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI)))))) (pow v 2))>
#<alt (/ (+ (* -1/9 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/27 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/648 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (pow (sqrt -1/6) 3))))) (* 4 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI))))))) (pow v 2))>
#<alt (* 4 (* (sqrt (/ 1 (pow v 5))) (/ (* (sqrt -1) (sqrt -1/6)) (PI))))>
#<alt (/ (+ (* -1/9 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI))))) (pow v 2))>
#<alt (/ (+ (* -1/9 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (+ (* 1/27 (* (sqrt (/ 1 (pow v 21))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))))) (pow v 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/27 (* (sqrt v) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 1/648 (* (sqrt v) (/ (sqrt -1) (* (PI) (pow (sqrt -1/6) 3)))))) (pow v 11))) (+ (* -1/9 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))))) (pow v 2))>
#<alt (* (PI) (sqrt 2))>
#<alt (+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2)))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2))))))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))>
#<alt (* v (* (PI) (sqrt -6)))>
#<alt (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))>
#<alt (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))>
#<alt (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (* (PI) (sqrt -6))))>
#<alt (* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))>
#<alt (* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))>
#<alt (* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))>
#<alt (/ (+ (* -4/3 (* (sqrt (pow v 17)) (/ 1 (* (PI) (sqrt 6))))) (* 4/3 (* (sqrt v) (/ 1 (* (PI) (sqrt 6)))))) v)>
#<alt (/ (+ (* -4/3 (* (sqrt (pow v 17)) (/ 1 (* (PI) (sqrt 6))))) (* 4/3 (* (sqrt v) (/ 1 (* (PI) (sqrt 6)))))) v)>
#<alt (* 4/3 (* (sqrt (/ 1 (pow v 15))) (/ 1 (* (PI) (sqrt 6)))))>
#<alt (* 4/3 (* (sqrt (/ 1 (pow v 15))) (/ 1 (* (PI) (sqrt 6)))))>
#<alt (/ (+ (* -4/3 (* (sqrt (/ 1 (pow v 15))) (/ 1 (* (PI) (sqrt 6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))) (pow v 7))>
#<alt (/ (+ (* -4/3 (* (sqrt (/ 1 (pow v 15))) (/ 1 (* (PI) (sqrt 6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))) (pow v 7))>
#<alt (* -4/3 (* (sqrt (/ 1 (pow v 15))) (/ (sqrt -1) (* (PI) (sqrt -6)))))>
#<alt (* -4/3 (* (sqrt (/ 1 (pow v 15))) (/ (sqrt -1) (* (PI) (sqrt -6)))))>
#<alt (* -1 (/ (+ (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1) (* (PI) (sqrt -6))))) (* 4/3 (* (sqrt (/ 1 (pow v 15))) (/ (sqrt -1) (* (PI) (sqrt -6)))))) (pow v 7)))>
#<alt (* -1 (/ (+ (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1) (* (PI) (sqrt -6))))) (* 4/3 (* (sqrt (/ 1 (pow v 15))) (/ (sqrt -1) (* (PI) (sqrt -6)))))) (pow v 7)))>
#<alt (* (sqrt v) (* (PI) (sqrt 6)))>
#<alt (+ (* (sqrt v) (* (PI) (sqrt 6))) (* (sqrt (pow v 13)) (* (PI) (sqrt 6))))>
#<alt (+ (* (sqrt v) (* (PI) (sqrt 6))) (* (sqrt (pow v 13)) (* (PI) (sqrt 6))))>
#<alt (+ (* (sqrt v) (* (PI) (sqrt 6))) (* (sqrt (pow v 13)) (* (PI) (sqrt 6))))>
#<alt (* (sqrt (pow v 15)) (* (PI) (sqrt 6)))>
#<alt (* (sqrt (pow v 15)) (* (PI) (sqrt 6)))>
#<alt (* (pow v 8) (+ (* (sqrt (/ 1 v)) (* (PI) (sqrt 6))) (* (sqrt (/ 1 (pow v 15))) (* (PI) (sqrt 6)))))>
#<alt (* (pow v 8) (+ (* (sqrt (/ 1 v)) (* (PI) (sqrt 6))) (* (sqrt (/ 1 (pow v 15))) (* (PI) (sqrt 6)))))>
#<alt (* (sqrt (pow v 15)) (* (PI) (* (sqrt -6) (sqrt -1))))>
#<alt (* (sqrt (pow v 15)) (* (PI) (* (sqrt -6) (sqrt -1))))>
#<alt (* (pow v 8) (+ (* -1 (* (sqrt (/ 1 (pow v 15))) (* (PI) (* (sqrt -6) (sqrt -1))))) (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))))>
#<alt (* (pow v 8) (+ (* -1 (* (sqrt (/ 1 (pow v 15))) (* (PI) (* (sqrt -6) (sqrt -1))))) (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))))>
#<alt (* (sqrt v) (sqrt 6))>
#<alt (* (sqrt v) (sqrt 6))>
#<alt (* (sqrt v) (sqrt 6))>
#<alt (* (sqrt v) (sqrt 6))>
#<alt (* (sqrt v) (sqrt 6))>
#<alt (* (sqrt v) (sqrt 6))>
#<alt (* (sqrt v) (sqrt 6))>
#<alt (* (sqrt v) (sqrt 6))>
#<alt (* -1 (* (sqrt v) (* (sqrt -6) (sqrt -1))))>
#<alt (* -1 (* (sqrt v) (* (sqrt -6) (sqrt -1))))>
#<alt (* -1 (* (sqrt v) (* (sqrt -6) (sqrt -1))))>
#<alt (* -1 (* (sqrt v) (* (sqrt -6) (sqrt -1))))>
#<alt (* 6 v)>
#<alt (* 6 v)>
#<alt (* 6 v)>
#<alt (* 6 v)>
#<alt v>
#<alt v>
#<alt v>
#<alt v>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt v>
#<alt v>
#<alt v>
#<alt v>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt v>
#<alt v>
#<alt v>
#<alt v>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -3 (/ v (sqrt 2))))>
#<alt (+ (sqrt 2) (* v (- (* -9/2 (/ v (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* v (- (* v (- (* -27/2 (/ v (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (* (sqrt v) (sqrt -6))>
#<alt (* v (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))>
#<alt (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6))))))>
#<alt (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ 1 (pow (sqrt -6) 5)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))))>
#<alt (* -1 (* (sqrt v) (* (sqrt -6) (sqrt -1))))>
#<alt (* -1 (* v (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6))))))>
#<alt (* -1 (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (pow (sqrt -6) 3)))) (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6)))))))>
#<alt (* -1 (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (pow (sqrt -6) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ (sqrt -1) (pow (sqrt -6) 5)))) (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6))))))))>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt 2>
#<alt (+ 2 (* -1 v))>
#<alt (+ 2 (* -1 v))>
#<alt (+ 2 (* -1 v))>
#<alt (* -1 v)>
#<alt (* v (- (* 2 (/ 1 v)) 1))>
#<alt (* v (- (* 2 (/ 1 v)) 1))>
#<alt (* v (- (* 2 (/ 1 v)) 1))>
#<alt v>
#<alt (* v (+ 1 (* 2 (/ 1 v))))>
#<alt (* v (+ 1 (* 2 (/ 1 v))))>
#<alt (* v (+ 1 (* 2 (/ 1 v))))>
#<alt 1>
#<alt (+ 1 (pow v 2))>
#<alt (+ 1 (pow v 2))>
#<alt (+ 1 (pow v 2))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (+ 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (+ 1 (/ 1 (pow v 2))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (+ 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (+ 1 (/ 1 (pow v 2))))>

Calls

63 calls:

Time	Variable		Point	Expression
7.0ms	v	@	0	(/ 4 (* (* (PI) 3) (sqrt (* v 6))))
3.0ms	v	@	0	(* (sqrt (* v 6)) (* (PI) (+ (* v v) 1)))
3.0ms	v	@	-inf	(/ 4/3 (* (sqrt (* v 6)) (* (PI) (+ (* v v) 1))))
2.0ms	v	@	0	(/ 4/3 (* (PI) (sqrt (+ (* v (neg v)) 2))))
2.0ms	v	@	inf	(/ 4/3 (* (PI) (sqrt (+ (* v (neg v)) 2))))

Compiler

Compiled 780 to 599 computations (23.2% saved)

rewrite316.0ms (2.7%)

Memory

-26.3MiB live, 745.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 540×	`lower-fma.f32`
5 534×	`lower-fma.f64`
4 554×	`lower-*.f32`
4 530×	`lower-*.f64`
3 904×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	179
0	63	177
1	209	175
2	1275	172
0	8807	172

Stop Event

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

Counts

23 → 1 110

Calls

Call 1

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

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

simplify442.0ms (3.8%)

Memory

11.9MiB live, 848.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 236×	`lower-fma.f64`
12 236×	`lower-fma.f32`
8 338×	`lower-*.f64`
8 338×	`lower-*.f32`
3 624×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	726	4906
1	2216	4311
2	7862	4275
0	8929	4110

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 239

Calls

Call 1

Inputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (* (pow v 4) (+ (* 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 4) (+ (* 4/3 (* (pow v 4) (+ (* 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 4) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))
(* -4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 8))))) (pow v 6))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 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 8))) (* 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 12)))))) (pow v 6))
(* -4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 8))))) (pow v 6))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 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 8))) (* 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 12)))))) (pow v 6))
(* (PI) (sqrt 2))
(+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))
(+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 3) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))))))
(+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 3) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 3 (/ (PI) (sqrt 2))) (* (pow v 3) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
(* -1 (* (sqrt (pow v 9)) (* (PI) (sqrt -6))))
(* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (* (sqrt (/ 1 (pow v 7))) (* (PI) (sqrt -6)))))
(* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (+ (* -1 (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6)))) (* (sqrt (/ 1 (pow v 7))) (* (PI) (sqrt -6))))))
(* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (sqrt -6)))) (+ (* -1 (* (sqrt (/ 1 (pow v 7))) (/ (PI) (sqrt -6)))) (+ (* (sqrt (/ 1 (pow v 7))) (* (PI) (sqrt -6))) (* (sqrt (/ 1 (pow v 13))) (/ (PI) (sqrt -6)))))))
(* (sqrt (pow v 9)) (* (PI) (* (sqrt -6) (sqrt -1))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* -1 (* (sqrt (/ 1 (pow v 7))) (* (PI) (* (sqrt -6) (sqrt -1))))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* -1 (/ (+ (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1)))) (* (sqrt (/ 1 v)) (/ (* (PI) (sqrt -1)) (sqrt -6)))) (pow v 3))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt v) (/ (* (PI) (sqrt -1)) (sqrt -6)))) (* -1 (* (sqrt (/ 1 (pow v 5))) (/ (* (PI) (sqrt -1)) (sqrt -6))))) v)) (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))) (pow v 3))))))
(sqrt 2)
(+ (sqrt 2) (* v (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* v (- (+ (* -1 (sqrt 2)) (* v (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* v (- (+ (* -1 (sqrt 2)) (* v (- (+ (* 3 (/ 1 (sqrt 2))) (* v (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))
(* -1 (* (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)))))
(* (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))))))
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 1/6 (/ (pow v 5) (* (PI) (sqrt 1/2)))) (* 4/3 (/ (sqrt 1/2) (PI))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 5) (+ (* 2/3 (/ (* (pow v 5) (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 1/6 (/ 1 (* (PI) (sqrt 1/2)))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 5) (+ (* (pow v 5) (+ (* 2/3 (/ (* (pow v 5) (- 1/16 (* 1/8 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 1/8 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (* 1/6 (/ 1 (* (PI) (sqrt 1/2)))))))
(* 4/3 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (PI))))
(/ (+ (* -4/3 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1) (PI))))) (pow v 2))
(/ (+ (* -8/3 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (sqrt -1))))) (+ (* -4/3 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1) (PI)))))) (pow v 2))
(/ (+ (* -8/3 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (sqrt -1))))) (+ (* -4/3 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1))))) (+ (* -2/3 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (pow (sqrt -1) 3))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1) (PI))))))) (pow v 2))
(* 4/3 (* (sqrt (/ 1 (pow v 5))) (/ (pow (sqrt -1) 2) (PI))))
(/ (+ (* -4/3 (* (sqrt (/ 1 (pow v 11))) (/ 1 (PI)))) (* 4/3 (* (sqrt (/ 1 v)) (/ (pow (sqrt -1) 2) (PI))))) (pow v 2))
(/ (+ (* -4/3 (* (sqrt (/ 1 (pow v 11))) (/ 1 (PI)))) (+ (* 4/3 (* (sqrt (/ 1 v)) (/ (pow (sqrt -1) 2) (PI)))) (* 8/3 (* (sqrt (/ 1 (pow v 21))) (/ 1 (PI)))))) (pow v 2))
(/ (+ (* -4/3 (* (sqrt (/ 1 (pow v 11))) (/ 1 (PI)))) (+ (* -1 (/ (+ (* -8/3 (* (sqrt v) (/ 1 (PI)))) (* 2/3 (* (sqrt v) (/ 1 (* (PI) (pow (sqrt -1) 2)))))) (pow v 11))) (* 4/3 (* (sqrt (/ 1 v)) (/ (pow (sqrt -1) 2) (PI)))))) (pow v 2))
(* (PI) (sqrt 2))
(+ (* -1/2 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -1/2 (/ (PI) (sqrt 2))) (* -1/8 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -1/2 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -1/8 (/ (PI) (pow (sqrt 2) 3))) (* -1/16 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))))))))
(* v (* (PI) (sqrt -1)))
(* v (+ (* (PI) (sqrt -1)) (/ (PI) (* (pow v 2) (sqrt -1)))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -1) 3)))) (+ (* (PI) (sqrt -1)) (/ (PI) (* (pow v 2) (sqrt -1))))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -1) 5)))) (+ (* (PI) (sqrt -1)) (/ (PI) (* (pow v 2) (sqrt -1)))))))
(* -1 (* v (* (PI) (sqrt -1))))
(* -1 (* v (+ (* (PI) (sqrt -1)) (/ (PI) (* (pow v 2) (sqrt -1))))))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -1) 3)))) (+ (* (PI) (sqrt -1)) (/ (PI) (* (pow v 2) (sqrt -1)))))))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -1) 5)))) (+ (* (PI) (sqrt -1)) (/ (PI) (* (pow v 2) (sqrt -1))))))))
(sqrt 2)
(+ (sqrt 2) (* -1/2 (/ v (sqrt 2))))
(+ (sqrt 2) (* v (- (* -1/8 (/ v (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* v (- (* v (- (* -1/16 (/ v (pow (sqrt 2) 5))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (sqrt 2))))))
(* (sqrt v) (sqrt -1))
(* v (+ (* (sqrt (/ 1 v)) (sqrt -1)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -1)))))
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* (sqrt (/ 1 v)) (sqrt -1)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -1))))))
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* (sqrt (/ 1 v)) (sqrt -1)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -1)))))))
(* -1 (* (sqrt v) (pow (sqrt -1) 2)))
(* -1 (* v (+ (sqrt (/ 1 (pow v 3))) (* (sqrt (/ 1 v)) (pow (sqrt -1) 2)))))
(* -1 (* v (+ (sqrt (/ 1 (pow v 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 v)) (pow (sqrt -1) 2))))))
(* -1 (* v (+ (sqrt (/ 1 (pow v 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 v)) (pow (sqrt -1) 2)))))))
(* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))
(* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))
(* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))
(* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))
(* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))
(* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))
(* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))
(* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))
(* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1) (* (PI) (sqrt -6)))))
(* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1) (* (PI) (sqrt -6)))))
(* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1) (* (PI) (sqrt -6)))))
(* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1) (* (PI) (sqrt -6)))))
(* 3 (* (sqrt v) (* (PI) (sqrt 6))))
(* 3 (* (sqrt v) (* (PI) (sqrt 6))))
(* 3 (* (sqrt v) (* (PI) (sqrt 6))))
(* 3 (* (sqrt v) (* (PI) (sqrt 6))))
(* 3 (* (sqrt v) (* (PI) (sqrt 6))))
(* 3 (* (sqrt v) (* (PI) (sqrt 6))))
(* 3 (* (sqrt v) (* (PI) (sqrt 6))))
(* 3 (* (sqrt v) (* (PI) (sqrt 6))))
(* -3 (* (sqrt v) (* (PI) (* (sqrt -6) (sqrt -1)))))
(* -3 (* (sqrt v) (* (PI) (* (sqrt -6) (sqrt -1)))))
(* -3 (* (sqrt v) (* (PI) (* (sqrt -6) (sqrt -1)))))
(* -3 (* (sqrt v) (* (PI) (* (sqrt -6) (sqrt -1)))))
(* 4/3 (/ (sqrt 1/2) (PI)))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 5) (* (PI) (sqrt 1/2))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 5) (+ (* 2/3 (/ (* (pow v 5) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (/ 1 (* (PI) (sqrt 1/2))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 5) (+ (* (pow v 5) (+ (* 2/3 (/ (* (pow v 5) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (/ 1 (* (PI) (sqrt 1/2))))))
(* 4/3 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1/6) (PI))))
(/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI))))) (pow v 2))
(/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/81 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI)))))) (pow v 2))
(/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/81 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/1944 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (pow (sqrt -1/6) 3))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI))))))) (pow v 2))
(* 4/3 (* (sqrt (/ 1 (pow v 5))) (/ (* (sqrt -1) (sqrt -1/6)) (PI))))
(/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI))))) (pow v 2))
(/ (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (+ (* 1/81 (* (sqrt (/ 1 (pow v 21))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))))) (pow v 2))
(/ (+ (* -1 (/ (+ (* -1/81 (* (sqrt v) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 1/1944 (* (sqrt v) (/ (sqrt -1) (* (PI) (pow (sqrt -1/6) 3)))))) (pow v 11))) (+ (* -1/27 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))))) (pow v 2))
(* 4 (/ (sqrt 1/2) (PI)))
(+ (* 3 (/ (pow v 5) (* (PI) (sqrt 1/2)))) (* 4 (/ (sqrt 1/2) (PI))))
(+ (* 4 (/ (sqrt 1/2) (PI))) (* (pow v 5) (+ (* 2 (/ (* (pow v 5) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 3 (/ 1 (* (PI) (sqrt 1/2)))))))
(+ (* 4 (/ (sqrt 1/2) (PI))) (* (pow v 5) (+ (* (pow v 5) (+ (* 2 (/ (* (pow v 5) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* (PI) (sqrt 1/2)))))))
(* 4 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1/6) (PI))))
(/ (+ (* -1/9 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (* 4 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI))))) (pow v 2))
(/ (+ (* -1/9 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/27 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (sqrt -1/6))))) (* 4 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI)))))) (pow v 2))
(/ (+ (* -1/9 (* (sqrt (/ 1 (pow v 11))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/27 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (sqrt -1/6))))) (+ (* -1/648 (* (sqrt (/ 1 (pow v 21))) (/ 1 (* (PI) (pow (sqrt -1/6) 3))))) (* 4 (* (sqrt (/ 1 v)) (/ (sqrt -1/6) (PI))))))) (pow v 2))
(* 4 (* (sqrt (/ 1 (pow v 5))) (/ (* (sqrt -1) (sqrt -1/6)) (PI))))
(/ (+ (* -1/9 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI))))) (pow v 2))
(/ (+ (* -1/9 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (+ (* 1/27 (* (sqrt (/ 1 (pow v 21))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))))) (pow v 2))
(/ (+ (* -1 (/ (+ (* -1/27 (* (sqrt v) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 1/648 (* (sqrt v) (/ (sqrt -1) (* (PI) (pow (sqrt -1/6) 3)))))) (pow v 11))) (+ (* -1/9 (* (sqrt (/ 1 (pow v 11))) (/ (sqrt -1) (* (PI) (sqrt -1/6))))) (* 4 (* (sqrt (/ 1 v)) (/ (* (sqrt -1) (sqrt -1/6)) (PI)))))) (pow v 2))
(* (PI) (sqrt 2))
(+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))
(* v (* (PI) (sqrt -6)))
(* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (* (PI) (sqrt -6))))
(* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))
(* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))
(* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))
(/ (+ (* -4/3 (* (sqrt (pow v 17)) (/ 1 (* (PI) (sqrt 6))))) (* 4/3 (* (sqrt v) (/ 1 (* (PI) (sqrt 6)))))) v)
(/ (+ (* -4/3 (* (sqrt (pow v 17)) (/ 1 (* (PI) (sqrt 6))))) (* 4/3 (* (sqrt v) (/ 1 (* (PI) (sqrt 6)))))) v)
(* 4/3 (* (sqrt (/ 1 (pow v 15))) (/ 1 (* (PI) (sqrt 6)))))
(* 4/3 (* (sqrt (/ 1 (pow v 15))) (/ 1 (* (PI) (sqrt 6)))))
(/ (+ (* -4/3 (* (sqrt (/ 1 (pow v 15))) (/ 1 (* (PI) (sqrt 6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))) (pow v 7))
(/ (+ (* -4/3 (* (sqrt (/ 1 (pow v 15))) (/ 1 (* (PI) (sqrt 6))))) (* 4/3 (* (sqrt (/ 1 v)) (/ 1 (* (PI) (sqrt 6)))))) (pow v 7))
(* -4/3 (* (sqrt (/ 1 (pow v 15))) (/ (sqrt -1) (* (PI) (sqrt -6)))))
(* -4/3 (* (sqrt (/ 1 (pow v 15))) (/ (sqrt -1) (* (PI) (sqrt -6)))))
(* -1 (/ (+ (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1) (* (PI) (sqrt -6))))) (* 4/3 (* (sqrt (/ 1 (pow v 15))) (/ (sqrt -1) (* (PI) (sqrt -6)))))) (pow v 7)))
(* -1 (/ (+ (* 4/3 (* (sqrt (/ 1 v)) (/ (sqrt -1) (* (PI) (sqrt -6))))) (* 4/3 (* (sqrt (/ 1 (pow v 15))) (/ (sqrt -1) (* (PI) (sqrt -6)))))) (pow v 7)))
(* (sqrt v) (* (PI) (sqrt 6)))
(+ (* (sqrt v) (* (PI) (sqrt 6))) (* (sqrt (pow v 13)) (* (PI) (sqrt 6))))
(+ (* (sqrt v) (* (PI) (sqrt 6))) (* (sqrt (pow v 13)) (* (PI) (sqrt 6))))
(+ (* (sqrt v) (* (PI) (sqrt 6))) (* (sqrt (pow v 13)) (* (PI) (sqrt 6))))
(* (sqrt (pow v 15)) (* (PI) (sqrt 6)))
(* (sqrt (pow v 15)) (* (PI) (sqrt 6)))
(* (pow v 8) (+ (* (sqrt (/ 1 v)) (* (PI) (sqrt 6))) (* (sqrt (/ 1 (pow v 15))) (* (PI) (sqrt 6)))))
(* (pow v 8) (+ (* (sqrt (/ 1 v)) (* (PI) (sqrt 6))) (* (sqrt (/ 1 (pow v 15))) (* (PI) (sqrt 6)))))
(* (sqrt (pow v 15)) (* (PI) (* (sqrt -6) (sqrt -1))))
(* (sqrt (pow v 15)) (* (PI) (* (sqrt -6) (sqrt -1))))
(* (pow v 8) (+ (* -1 (* (sqrt (/ 1 (pow v 15))) (* (PI) (* (sqrt -6) (sqrt -1))))) (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))))
(* (pow v 8) (+ (* -1 (* (sqrt (/ 1 (pow v 15))) (* (PI) (* (sqrt -6) (sqrt -1))))) (* (sqrt (/ 1 v)) (* (PI) (* (sqrt -6) (sqrt -1))))))
(* (sqrt v) (sqrt 6))
(* (sqrt v) (sqrt 6))
(* (sqrt v) (sqrt 6))
(* (sqrt v) (sqrt 6))
(* (sqrt v) (sqrt 6))
(* (sqrt v) (sqrt 6))
(* (sqrt v) (sqrt 6))
(* (sqrt v) (sqrt 6))
(* -1 (* (sqrt v) (* (sqrt -6) (sqrt -1))))
(* -1 (* (sqrt v) (* (sqrt -6) (sqrt -1))))
(* -1 (* (sqrt v) (* (sqrt -6) (sqrt -1))))
(* -1 (* (sqrt v) (* (sqrt -6) (sqrt -1))))
(* 6 v)
(* 6 v)
(* 6 v)
(* 6 v)
v
v
v
v
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
v
v
v
v
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
v
v
v
v
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(sqrt 2)
(+ (sqrt 2) (* -3 (/ v (sqrt 2))))
(+ (sqrt 2) (* v (- (* -9/2 (/ v (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* v (- (* v (- (* -27/2 (/ v (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* (sqrt v) (sqrt -6))
(* v (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6))))))
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ 1 (pow (sqrt -6) 5)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))))
(* -1 (* (sqrt v) (* (sqrt -6) (sqrt -1))))
(* -1 (* v (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (pow (sqrt -6) 3)))) (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (pow (sqrt -6) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ (sqrt -1) (pow (sqrt -6) 5)))) (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6))))))))
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
2
(+ 2 (* -1 v))
(+ 2 (* -1 v))
(+ 2 (* -1 v))
(* -1 v)
(* v (- (* 2 (/ 1 v)) 1))
(* v (- (* 2 (/ 1 v)) 1))
(* v (- (* 2 (/ 1 v)) 1))
v
(* v (+ 1 (* 2 (/ 1 v))))
(* v (+ 1 (* 2 (/ 1 v))))
(* v (+ 1 (* 2 (/ 1 v))))
1
(+ 1 (pow v 2))
(+ 1 (pow v 2))
(+ 1 (pow v 2))
(pow v 2)
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(pow v 2)
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))

Outputs
(* 4/3 (/ (sqrt 1/2) (PI)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(+ (* 4/3 (* (pow v 4) (+ (* 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 (pow.f64 v #s(literal 4 binary64)) (+.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 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (+ (* 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 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 #s(literal 4/3 binary64) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (+.f64 (/.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 #s(literal 27/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))))
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 4) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 4) (+ (* 4/3 (* (pow v 4) (+ (* 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 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 4/3 binary64)) (+.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) (+.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (+.f64 (/.f64 #s(literal 27/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal 135/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 #s(literal 27/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 (.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))
(* -4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))
(/.f64 (.f64 #s(literal -4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))
(/.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 6 binary64)))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 8))))) (pow v 6))
(/.f64 (fma.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/144 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (pow.f64 v #s(literal 8 binary64)))) (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 6 binary64)))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 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 8))) (* 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 12)))))) (pow v 6))
(/.f64 (fma.f64 #s(literal 4/3 binary64) (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/144 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (pow.f64 v #s(literal 8 binary64)))) (/.f64 (+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/144 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (/.f64 #s(literal 5/2592 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (pow.f64 v #s(literal 12 binary64)))) (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 6 binary64)))
(* -4/3 (/ (sqrt -1/6) (* (pow v 6) (PI))))
(/.f64 (.f64 #s(literal -4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4)))) (pow v 6))
(/.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 6 binary64)))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (* 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 8))))) (pow v 6))
(/.f64 (fma.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/144 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (pow.f64 v #s(literal 8 binary64)))) (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 6 binary64)))
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 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 8))) (* 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 12)))))) (pow v 6))
(/.f64 (fma.f64 #s(literal 4/3 binary64) (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/144 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (pow.f64 v #s(literal 8 binary64)))) (/.f64 (+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/144 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (/.f64 #s(literal 5/2592 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (pow.f64 v #s(literal 12 binary64)))) (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 6 binary64)))
(* (PI) (sqrt 2))
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))
(fma.f64 (.f64 v (.f64 v v)) (-.f64 (/.f64 (.f64 #s(literal -3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 3) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))))))
(fma.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64) (/.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (/.f64 (.f64 #s(literal -3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))))
(+ (* (PI) (sqrt 2)) (* (pow v 3) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 3) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 3 (/ (PI) (sqrt 2))) (* (pow v 3) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))
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(.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 v)))
(* -1 (* (sqrt v) (* (sqrt -6) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 v)))
(* 6 v)
(*.f64 v #s(literal 6 binary64))
(* 6 v)
(*.f64 v #s(literal 6 binary64))
(* 6 v)
(*.f64 v #s(literal 6 binary64))
(* 6 v)
(*.f64 v #s(literal 6 binary64))
v
v
v
v
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
v
v
v
v
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
v
v
v
v
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3 (/ v (sqrt 2))))
(fma.f64 #s(literal -3 binary64) (/.f64 v (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* v (- (* -9/2 (/ v (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 v (fma.f64 (/.f64 v (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* v (- (* v (- (* -27/2 (/ v (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 v (fma.f64 v (fma.f64 #s(literal -27/2 binary64) (/.f64 v (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (neg.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt v) (sqrt -6))
(*.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 v))
(* v (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))
(.f64 v (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 v (*.f64 v v)))) (sqrt.f64 #s(literal -6 binary64)))))
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6))))))
(.f64 v (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 5 binary64)))) (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 v (*.f64 v v)))) (sqrt.f64 #s(literal -6 binary64))))))
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ 1 (pow (sqrt -6) 5)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))))
(.f64 v (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 5 binary64)))) (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 v (*.f64 v v)))) (sqrt.f64 #s(literal -6 binary64)))))))
(* -1 (* (sqrt v) (* (sqrt -6) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 v)))
(* -1 (* v (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6))))))
(neg.f64 (.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -6 binary64))) (.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (pow (sqrt -6) 3)))) (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6)))))))
(.f64 (neg.f64 v) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -6 binary64))) (.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -6 binary64)))))))
(* -1 (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (pow (sqrt -6) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ (sqrt -1) (pow (sqrt -6) 5)))) (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6))))))))
(.f64 (neg.f64 v) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -6 binary64))) (.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -6 binary64))))))))
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
2
#s(literal 2 binary64)
(+ 2 (* -1 v))
(-.f64 #s(literal 2 binary64) v)
(+ 2 (* -1 v))
(-.f64 #s(literal 2 binary64) v)
(+ 2 (* -1 v))
(-.f64 #s(literal 2 binary64) v)
(* -1 v)
(neg.f64 v)
(* v (- (* 2 (/ 1 v)) 1))
(fma.f64 v (/.f64 #s(literal 2 binary64) v) (neg.f64 v))
(* v (- (* 2 (/ 1 v)) 1))
(fma.f64 v (/.f64 #s(literal 2 binary64) v) (neg.f64 v))
(* v (- (* 2 (/ 1 v)) 1))
(fma.f64 v (/.f64 #s(literal 2 binary64) v) (neg.f64 v))
v
(* v (+ 1 (* 2 (/ 1 v))))
(fma.f64 v (/.f64 #s(literal 2 binary64) v) v)
(* v (+ 1 (* 2 (/ 1 v))))
(fma.f64 v (/.f64 #s(literal 2 binary64) v) v)
(* v (+ 1 (* 2 (/ 1 v))))
(fma.f64 v (/.f64 #s(literal 2 binary64) v) v)
1
#s(literal 1 binary64)
(+ 1 (pow v 2))
(fma.f64 v v #s(literal 1 binary64))
(+ 1 (pow v 2))
(fma.f64 v v #s(literal 1 binary64))
(+ 1 (pow v 2))
(fma.f64 v v #s(literal 1 binary64))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal 1 binary64))
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal 1 binary64))
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal 1 binary64))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal 1 binary64))
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal 1 binary64))
(* (pow v 2) (+ 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal 1 binary64))

eval216.0ms (1.9%)

Memory: -1.7MiB live, 506.3MiB allocated
Compiler: Compiled 37 470 to 4 903 computations (86.9% saved)

prune204.0ms (1.8%)

Memory

-0.1MiB live, 471.5MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1 590	5	1 595
Fresh	2	0	2
Picked	2	3	5
Done	0	4	4
Total	1 594	12	1 606

Accuracy

100.0%

Counts

1 606 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.1%	(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
✓	97.1%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
	6.9%	(/.f64 #s(literal 4/3 binary64) (.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (PI.f64) (sqrt.f64 (*.f64 v #s(literal 6 binary64))))))
✓	100.0%	(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
✓	98.6%	(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
✓	98.6%	(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (neg.f64 v) #s(literal 2 binary64)))))
	98.2%	(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (-.f64 #s(literal 2 binary64) v))))
	6.9%	(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 v)))
✓	98.6%	(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
	98.5%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3/4 binary64)))
	100.0%	(/.f64 #s(literal -4/3 binary64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))))
✓	98.6%	(.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) #s(literal 1/3 binary64))

Compiler

Compiled 515 to 228 computations (55.7% saved)

regimes27.0ms (0.2%)

Memory

39.5MiB live, 75.0MiB allocated

Counts

25 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	v
6.0ms	(*.f64 v v)
6.0ms	(/.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))))))
6.0ms	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))

Results

Accuracy	Segments	Branch
100.0%	1	`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 46 to 33 computations (28.3% saved)

regimes22.0ms (0.2%)

Memory

-28.2MiB live, 46.5MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	v
4.0ms	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
4.0ms	(*.f64 v v)
4.0ms	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Results

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

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes30.0ms (0.3%)

Memory

-27.1MiB live, 39.9MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	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
98.6%	1	`v`
98.6%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
98.6%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
98.6%	1	`(*.f64 v v)`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes10.0ms (0.1%)

Memory

27.7MiB live, 27.7MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
98.6%	1	`v`
98.6%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
98.6%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
98.6%	1	`(*.f64 v v)`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes11.0ms (0.1%)

Memory

-12.2MiB live, 26.3MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.6%	1	`v`
98.6%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
98.6%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
98.6%	1	`(*.f64 v v)`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes10.0ms (0.1%)

Memory

-16.1MiB live, 22.3MiB allocated

Accuracy

Total -58.7b remaining (-6530.5%)

Threshold costs -58.7b (-6530.5%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))

Calls

4 calls:

4.0ms	v
2.0ms	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
2.0ms	(/.f64 #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)

Results

Accuracy	Segments	Branch
98.6%	1	`v`
98.6%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
98.6%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
98.6%	1	`(*.f64 v v)`

Compiler

Compiled 46 to 33 computations (28.3% saved)

simplify7.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	73
1	52	73
2	58	73
3	61	73
4	62	73

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.3s (10.9%)

Memory

11.9MiB live, 997.5MiB allocated

Rules

18 674×	`lower-fma.f64`
18 674×	`lower-fma.f32`
12 034×	`lower-fma.f64`
12 034×	`lower-fma.f32`
10 876×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	62
0	26	62
1	101	60
2	626	60
3	5771	60
0	8439	54
0	35	179
0	63	177
1	209	175
2	1275	172
0	8807	172
0	27	177
0	48	175
1	162	171
2	928	171
3	7964	171
0	9049	171
0	575	4962
1	1849	4364
2	7047	4311
0	8117	4128
0	664	4734
1	2093	4211
2	7558	4189
0	8312	4029
0	198	1352
1	596	1172
2	2053	1091
3	6401	1077
0	8116	1030
0	41	234
0	75	223
1	284	211
2	1835	208
0	8225	208

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

Compiler

Compiled 198 to 138 computations (30.3% saved)

preprocess59.0ms (0.5%)

Memory: -14.5MiB live, 143.5MiB allocated
Remove: (abs v)
Compiler: Compiled 226 to 128 computations (43.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze4.0ms (0%)

sample1.1s (9.4%)

preprocess343.0ms (3%)

explain232.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify271.0ms (2.3%)

localize83.0ms (0.7%)

series17.0ms (0.1%)

rewrite555.0ms (4.8%)

simplify718.0ms (6.2%)

eval150.0ms (1.3%)

prune151.0ms (1.3%)

simplify414.0ms (3.6%)

localize307.0ms (2.7%)

series95.0ms (0.8%)

rewrite1.1s (9.3%)

simplify428.0ms (3.7%)

eval299.0ms (2.6%)

prune228.0ms (2%)

simplify178.0ms (1.5%)

localize118.0ms (1%)

series26.0ms (0.2%)

rewrite674.0ms (5.8%)

simplify411.0ms (3.6%)

eval368.0ms (3.2%)

prune263.0ms (2.3%)

simplify252.0ms (2.2%)

localize132.0ms (1.1%)

series50.0ms (0.4%)

rewrite316.0ms (2.7%)

simplify442.0ms (3.8%)

eval216.0ms (1.9%)

prune204.0ms (1.8%)

regimes27.0ms (0.2%)

regimes22.0ms (0.2%)

regimes30.0ms (0.3%)

regimes10.0ms (0.1%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

simplify7.0ms (0.1%)

soundness1.3s (10.9%)

preprocess59.0ms (0.5%)

end0.0ms (0%)

Profiling