Metrics for Falkner and Boettcher, Equation (20:1,3)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze50.0ms (0.4%)

Memory

-10.9MiB live, 116.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	50%	0.1%	0%	50%	0%	4
0%	0%	50%	0.1%	0%	50%	0%	5
37.5%	18.7%	31.2%	0.1%	0%	50%	0%	6
43.8%	21.9%	28.1%	0.1%	0%	50%	0%	7
65.6%	32.8%	17.2%	0.1%	0%	50%	0%	8
70.3%	35.1%	14.8%	0.1%	0%	50%	0%	9
82%	41%	9%	0.1%	0%	50%	0%	10
84.8%	42.3%	7.6%	0.1%	0%	50%	0%	11
90.8%	45.4%	4.6%	0.1%	0%	50%	0%	12

Compiler

Compiled 30 to 21 computations (30% saved)

sample1.6s (14.3%)

Memory

26.3MiB live, 1 993.6MiB allocated

Samples

994.0ms	8 256×	0	valid
1.0ms	16×	0	invalid

Precisions

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

ival-mult: 396.0ms (52.7% of total)

ival-sub: 150.0ms (20% of total)

ival-sqrt: 66.0ms (8.8% of total)

ival-pi: 63.0ms (8.4% of total)

ival-div: 55.0ms (7.3% of total)

exact: 12.0ms (1.6% of total)

ival-true: 6.0ms (0.8% of total)

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

Bogosity

explain352.0ms (3.1%)

Memory

9.6MiB live, 446.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
0	-	-	`(.f64 #s(literal 5 binary64) (.f64 v v))`
0	-	-	`(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v))))))`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`t`
0	-	-	`#s(literal 5 binary64)`
0	-	-	`(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))`
0	-	-	`v`
0	-	-	`(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))`
0	-	-	`(PI.f64)`
0	-	-	`(*.f64 (PI.f64) t)`
0	-	-	`(.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v))))`
0	-	-	`(*.f64 v v)`
0	-	-	`(.f64 #s(literal 3 binary64) (.f64 v v))`
0	-	-	`(.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 v v))`
0	-	-	`(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`	n/o	1	0
↳	`(.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`	overflow	1
↳	`(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v))))))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

88.0ms

512×

valid

Compiler

Compiled 280 to 61 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 23.0ms (55.6% of total)

ival-sub: 8.0ms (19.3% of total)

ival-sqrt: 4.0ms (9.7% of total)

ival-div: 3.0ms (7.3% of total)

ival-pi: 2.0ms (4.8% of total)

exact: 1.0ms (2.4% of total)

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

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

preprocess238.0ms (2.1%)

Memory

24.4MiB live, 342.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 098×	`lower-*.f32`
5 084×	`lower-*.f64`
4 848×	`lower-fma.f64`
4 848×	`lower-fma.f32`
3 484×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	142
1	174	140
2	628	130
3	4441	130
0	19	28
0	32	28
1	70	28
2	202	26
3	918	26
4	4718	26
5	7437	26
0	8123	24

Stop Event

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

Calls

Call 1

Inputs

(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))

Outputs

(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))

(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #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 (*.f64 v v) (neg.f64 t) t))))

Symmetry

(abs v)

(negabs t)

Compiler

Compiled 30 to 19 computations (36.7% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))

Status

Accuracy

Program

▶

99.1%

(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))

Compiler

Compiled 30 to 19 computations (36.7% saved)

simplify304.0ms (2.7%)

Memory

-214.4MiB live, 282.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
cost-diff	320	(.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v))))

Rules

5 098×	`lower-*.f32`
5 084×	`lower-*.f64`
4 848×	`lower-fma.f64`
4 848×	`lower-fma.f32`
3 484×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	123
0	32	123
1	70	123
2	202	113
3	918	113
4	4718	113
5	7437	113
0	8123	105

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
#s(literal 1 binary64)
(.f64 #s(literal 5 binary64) (.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v))))))
(*.f64 (PI.f64) t)
(PI.f64)
t
(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v))))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
(.f64 #s(literal 3 binary64) (.f64 v v))
#s(literal 3 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #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 (*.f64 v v) (neg.f64 t) t))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 #s(literal 5 binary64) (.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) (fma.f64 (.f64 v v) (neg.f64 t) t)))
(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v))))))
(.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(*.f64 (PI.f64) t)
(PI.f64)
t
(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 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 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v))))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 3 binary64) (.f64 v v))
(.f64 v (.f64 v #s(literal 3 binary64)))
#s(literal 3 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize76.0ms (0.7%)

Memory

2.2MiB live, 77.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1640625	(.f64 #s(literal 3 binary64) (.f64 v v))
accuracy	0.25390625	(*.f64 (PI.f64) t)
accuracy	0.46798352847921515	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
accuracy	0.4700775390737681	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v))))))

Samples

58.0ms

256×

valid

Compiler

Compiled 125 to 21 computations (83.2% saved)

Precisions

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

ival-mult: 9.0ms (51.6% of total)

ival-sub: 3.0ms (17.2% of total)

ival-sqrt: 2.0ms (11.5% of total)

ival-pi: 1.0ms (5.7% of total)

ival-div: 1.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.2%)

Memory

-4.1MiB live, 33.6MiB allocated

Counts

7 → 108

Calls

Call 1

Inputs
#s(alt (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (patch (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) #<representation binary64>) () ())
#s(alt (.f64 (PI.f64) t) (patch (.f64 (PI.f64) t) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())

Outputs
#s(alt 2 (taylor 0 v) (#s(alt (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -6 (pow v 2))) (taylor 0 v) (#s(alt (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -6 (pow v 2))) (taylor 0 v) (#s(alt (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -6 (pow v 2))) (taylor 0 v) (#s(alt (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* -6 (pow v 2)) (taylor inf v) (#s(alt (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) (taylor inf v) (#s(alt (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) (taylor inf v) (#s(alt (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) (taylor inf v) (#s(alt (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* -6 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) (taylor -inf v) (#s(alt (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) (taylor -inf v) (#s(alt (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) (taylor -inf v) (#s(alt (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
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#s(alt (* t (PI)) (taylor 0 t) (#s(alt (.f64 (PI.f64) t) (patch (.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor inf t) (#s(alt (.f64 (PI.f64) t) (patch (.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor inf t) (#s(alt (.f64 (PI.f64) t) (patch (.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor inf t) (#s(alt (.f64 (PI.f64) t) (patch (.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor inf t) (#s(alt (.f64 (PI.f64) t) (patch (.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (.f64 (PI.f64) t) (patch (.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (.f64 (PI.f64) t) (patch (.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (.f64 (PI.f64) t) (patch (.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (.f64 (PI.f64) t) (patch (.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor 0 v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor 0 v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor 0 v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor 0 v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())

Calls

27 calls:

Time	Variable		Point	Expression
10.0ms	v	@	inf	(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
4.0ms	t	@	0	(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
2.0ms	v	@	0	(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
1.0ms	t	@	0	(* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v))))))
1.0ms	t	@	inf	(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))

simplify384.0ms (3.4%)

Memory

7.0MiB live, 566.5MiB allocated

Algorithm

1×	egg-herbie

Rules

23 106×	`lower-fma.f64`
23 106×	`lower-fma.f32`
5 894×	`lower-*.f64`
5 894×	`lower-*.f32`
3 560×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	2113
1	576	2013
2	2413	1898
0	8035	1805

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
2
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
1
(+ 1 (* -3 (pow v 2)))
(+ 1 (* -3 (pow v 2)))
(+ 1 (* -3 (pow v 2)))
(* -3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* -3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(/ 1 (* t (* (PI) (sqrt 2))))
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)
(* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* t (* (PI) (sqrt 2)))
(+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2)))))))))
(* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))
(* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))
(* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))

Outputs
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(+ 2 (* -6 (pow v 2)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(+ 2 (* -6 (pow v 2)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(* -6 (pow v 2))
(.f64 #s(literal -6 binary64) (.f64 v v))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 v (.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 v (.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 v (.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* -6 (pow v 2))
(.f64 #s(literal -6 binary64) (.f64 v v))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 v (.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 v (.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 v (.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(* -5 (pow v 2))
(.f64 (.f64 v v) #s(literal -5 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(* -5 (pow v 2))
(.f64 (.f64 v v) #s(literal -5 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -3 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* -3 (pow v 2))
(.f64 (.f64 v v) #s(literal -3 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* -3 (pow v 2))
(.f64 (.f64 v v) #s(literal -3 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (.f64 v v) (/.f64 #s(literal -5/2 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (/.f64 #s(literal -53/8 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -5/2 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 #s(literal -241/16 binary64) (.f64 v v) #s(literal -53/8 binary64))) (/.f64 #s(literal -5/2 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
(/.f64 (.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 v (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)
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(.f64 v (.f64 t (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (*.f64 v v) (sqrt.f64 #s(literal -3 binary64)))))))
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))
(.f64 v (fma.f64 t (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 v v) (sqrt.f64 #s(literal -3 binary64))))) (.f64 (/.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64))))
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))
(.f64 v (fma.f64 t (fma.f64 (/.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 v v) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (.f64 (/.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64)))))
(* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))))
(.f64 t (.f64 (.f64 v (.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))
(.f64 (.f64 t (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (*.f64 v v) (sqrt.f64 #s(literal -3 binary64)))))) (neg.f64 v))
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))
(.f64 (fma.f64 t (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 v v) (sqrt.f64 #s(literal -3 binary64))))) (.f64 (/.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64))) (neg.f64 v))
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))
(neg.f64 (.f64 v (fma.f64 t (fma.f64 (/.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 v v) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (.f64 (/.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64))))))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))

rewrite305.0ms (2.7%)

Memory

-14.6MiB live, 432.3MiB allocated

Rules

6 648×	`lower-fma.f64`
6 648×	`lower-fma.f32`
6 256×	`lower-*.f32`
6 242×	`lower-*.f64`
3 752×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	73
0	32	73
1	128	73
2	923	67
0	8720	61

Stop Event

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

Counts

7 → 495

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v))))))
(*.f64 (PI.f64) t)
(.f64 #s(literal 3 binary64) (.f64 v v))

Outputs
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) #s(literal 2 binary64))
(+.f64 (.f64 (.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 6 binary64) (neg.f64 (*.f64 v v)) #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 v v)) #s(literal -3 binary64) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (neg.f64 (.f64 v v))) #s(literal 3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) v)) (neg.f64 v) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 v #s(literal -3 binary64))) v #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 27 binary64) (.f64 v (.f64 v v))) (.f64 v (*.f64 v v)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 27 binary64) (.f64 v (.f64 v v))) (.f64 v (*.f64 v v)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)))) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 27 binary64) (.f64 v (.f64 v v))) (.f64 v (.f64 v v))))) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -9 binary64)))) (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 27 binary64) (.f64 v (.f64 v v))) (.f64 v (.f64 v v)))) #s(literal 2 binary64)) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 27 binary64) (.f64 v (.f64 v v))) (.f64 v (.f64 v v)))))) (neg.f64 (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -9 binary64))))) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 27 binary64) (.f64 v (.f64 v v))) (.f64 v (.f64 v v)))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)))) #s(literal 2 binary64))) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) (.f64 #s(literal -6 binary64) (.f64 v v))) (.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v))))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) (.f64 #s(literal -6 binary64) (.f64 v v)))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 27 binary64) (.f64 v (.f64 v v))) (.f64 v (.f64 v v))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 27 binary64) (.f64 v (.f64 v v))) (.f64 v (.f64 v v)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -5 binary64)))
(+.f64 (.f64 (.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal 125 binary64)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64))) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 5 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal 125 binary64)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64))) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal 125 binary64)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64))) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)))))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 5 binary64) (neg.f64 (*.f64 v v)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 v v) #s(literal 5 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 v v)) #s(literal 5 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 v) (*.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v #s(literal 5 binary64)) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 v #s(literal -5 binary64))) v #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) v #s(literal 1 binary64))
(neg.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -125 binary64))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -125 binary64))) (neg.f64 (neg.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25 binary64))) (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25 binary64))) (neg.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)))))
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(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) t))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (fma.f64 v (fma.f64 v (.f64 v v) v) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #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 1 binary64) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -125 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(.f64 (PI.f64) (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (.f64 (cbrt.f64 (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(.f64 (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (PI.f64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) (.f64 (PI.f64) t)))
(.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t)
(.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) t)
(.f64 (.f64 (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64)) (PI.f64))
(.f64 (.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (PI.f64))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) (*.f64 (PI.f64) t)))
(.f64 (.f64 #s(literal 1 binary64) t) (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (.f64 (cbrt.f64 (PI.f64)) t))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) t))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64))) t)
(.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (PI.f64) t) (pow.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 t (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 (.f64 (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) t))
(*.f64 (PI.f64) t)
(*.f64 t (PI.f64))
(.f64 (.f64 (PI.f64) t) #s(literal 1 binary64))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) t))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) t))
(.f64 (.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 t (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 t (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 (.f64 #s(literal 1 binary64) t) (PI.f64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (.f64 (*.f64 t (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (*.f64 t (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 t (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))
(.f64 #s(literal 3 binary64) (.f64 v v))
(.f64 v (.f64 #s(literal 3 binary64) v))
(.f64 (.f64 v v) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 v v)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 3 binary64) v) v)

eval113.0ms (1%)

Memory: 12.4MiB live, 124.5MiB allocated
Compiler: Compiled 26 681 to 2 056 computations (92.3% saved)

prune98.0ms (0.9%)

Memory

-25.8MiB live, 176.8MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	590	13	603
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	591	13	604

Accuracy

100.0%

Counts

604 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 v v))))))
▶	99.1%	(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
	99.4%	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
	96.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(approx ( 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
	99.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
	96.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 #s(approx ( (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
	99.4%	(/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v))))
▶	99.6%	(/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
	99.1%	(.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))
	99.5%	(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64))) (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
▶	99.5%	(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
▶	96.6%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))

Compiler

Compiled 660 to 434 computations (34.2% saved)

simplify156.0ms (1.4%)

Memory

33.9MiB live, 188.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 v #s(literal -5 binary64))
cost-diff	0	(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t)
cost-diff	832	(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
cost-diff	0	(*.f64 v #s(literal 5 binary64))
cost-diff	0	(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
cost-diff	0	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 v v))))))
cost-diff	256	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff	0	(.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
cost-diff	0	(*.f64 v #s(literal -5 binary64))
cost-diff	0	(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
cost-diff	128	(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
cost-diff	0	(PI.f64)
cost-diff	0	(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
cost-diff	0	(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))
cost-diff	320	(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64))
cost-diff	512	(/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))

Rules

4 960×	`lower-*.f32`
4 930×	`lower-*.f64`
4 770×	`lower-fma.f32`
4 764×	`lower-fma.f64`
2 504×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	478
0	88	471
1	182	467
2	519	464
3	2344	464
4	5986	464
0	8175	456

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(PI.f64)
(.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
(.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v)))
t
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 v v)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
#s(literal 1 binary64)
(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(PI.f64)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
t
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(PI.f64)
(.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
(.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v)))
t
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 v v)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 v v))))))
(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 5 binary64))
#s(literal 5 binary64)
#s(literal -1 binary64)
(.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(*.f64 (PI.f64) t)
(PI.f64)
t
(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
(*.f64 v v)
#s(literal 2 binary64)
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t)
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
t
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
(.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 v v)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)

Outputs
(/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 t (fma.f64 v v #s(literal -1 binary64))))))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(PI.f64)
(.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
(.f64 (fma.f64 t (.f64 v (neg.f64 v)) t) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v)))
(fma.f64 t (*.f64 v (neg.f64 v)) t)
t
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 v v)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(sqrt.f64 (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))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
#s(literal 1 binary64)
(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(PI.f64)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
t
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 t (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t)))
(PI.f64)
(.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
(.f64 (fma.f64 t (.f64 v (neg.f64 v)) t) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v)))
(fma.f64 t (*.f64 v (neg.f64 v)) t)
t
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 v v)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(sqrt.f64 (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))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 v v))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 t (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 5 binary64))
#s(literal 5 binary64)
#s(literal -1 binary64)
(.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (neg.f64 (-.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 t (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (PI.f64) t)
(PI.f64)
t
(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(.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 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(sqrt.f64 (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))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
#s(literal -6 binary64)
(*.f64 v v)
#s(literal 2 binary64)
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(fma.f64 v v #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 t (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t)
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
t
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (fma.f64 (PI.f64) (*.f64 v (neg.f64 v)) (PI.f64))))
(.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (fma.f64 (PI.f64) (*.f64 v (neg.f64 v)) (PI.f64)))
(.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(fma.f64 (PI.f64) (*.f64 v (neg.f64 v)) (PI.f64))
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 v v)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(sqrt.f64 (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))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)

localize167.0ms (1.5%)

Memory

9.8MiB live, 236.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
accuracy	0.01953125	(.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
accuracy	0.0234375	(.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))
accuracy	0.30078125	(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
accuracy	0.015625	(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v))))
accuracy	0.25390625	(*.f64 (PI.f64) t)
accuracy	0.46798352847921515	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 v v))))))
accuracy	0.47626879884221013	(.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
accuracy	0.009070031620653759	(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
accuracy	0.31869125976844204	(.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
accuracy	0.42578125	(.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
accuracy	0.46798352847921515	(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
accuracy	0.31869125976844204	(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.43359375	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.45235852847921515	(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
accuracy	1.5730363895617059	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
accuracy	0.009070031620653759	(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))
accuracy	0.42578125	(.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
accuracy	0.4296875	(/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))

Samples

91.0ms

256×

valid

Compiler

Compiled 501 to 53 computations (89.4% saved)

Precisions

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

ival-mult: 39.0ms (60.5% of total)

ival-div: 11.0ms (17.1% of total)

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

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

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

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

exact: 1.0ms (1.6% of total)

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

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

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

series67.0ms (0.6%)

Memory

-17.6MiB live, 102.2MiB allocated

Counts

25 → 396

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (patch (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) (patch (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #<representation binary64>) () ())
#s(alt (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (patch (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (.f64 v #s(literal -5 binary64)) (patch (.f64 v #s(literal -5 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())
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Outputs
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#s(alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) (taylor 0 v) (#s(alt (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) (taylor inf v) (#s(alt (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v) (taylor inf v) (#s(alt (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v) (taylor inf v) (#s(alt (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -5 (/ (sqrt -1/6) (* t (* v (PI))))) (taylor -inf v) (#s(alt (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) (taylor -inf v) (#s(alt (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)) (taylor -inf v) (#s(alt (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)) (taylor -inf v) (#s(alt (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) (taylor 0 t) (#s(alt (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) (taylor 0 t) (#s(alt (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) (taylor 0 t) (#s(alt (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))) (taylor -inf v) (#s(alt (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (patch (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))))) (taylor -inf v) (#s(alt (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (patch (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sqrt 1/2) (PI)) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (/ (sqrt 1/2) (PI))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sqrt -1/6) (* (pow v 3) (PI)))) (taylor inf v) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3)) (taylor inf v) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3)) (taylor inf v) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3)) (taylor inf v) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (sqrt -1/6) (* (pow v 3) (PI))) (taylor -inf v) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3))) (taylor -inf v) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3))) (taylor -inf v) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3))) (taylor -inf v) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())

Calls

99 calls:

Time	Variable		Point	Expression
10.0ms	t	@	inf	(* t (sqrt 2))
4.0ms	v	@	inf	(/ (* (/ (+ (* v (* v -5)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
3.0ms	v	@	-inf	(/ (* (/ (+ (* v (* v -5)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
2.0ms	t	@	0	(/ (* (/ (+ (* v (* v -5)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
2.0ms	v	@	0	(/ (* (/ (+ (* v (* v -5)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))

simplify362.0ms (3.2%)

Memory

33.5MiB live, 466.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 382×	`lower-fma.f64`
12 382×	`lower-fma.f32`
6 396×	`lower-*.f64`
6 396×	`lower-*.f32`
5 330×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	659	10788
1	2115	9773
0	8643	9360

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (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)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/ 1 (PI))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(* -5 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* -5 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(/ 1 (PI))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(* -5 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* -5 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(/ 1 (* t (* (PI) (sqrt 2))))
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
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(* -1 (/ (sqrt -1/6) (* (pow v 3) (PI))))
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3))
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3))
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3))
(/ (sqrt -1/6) (* (pow v 3) (PI)))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3)))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3)))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3)))

Outputs
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (fma.f64 (.f64 v v) (+.f64 (/.f64 #s(literal 27/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))))) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (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)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (fma.f64 (.f64 v v) (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal 27/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))))) (fma.f64 (.f64 v v) (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal -27/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))))) (+.f64 (/.f64 #s(literal 135/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))) (/.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))))) (/.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))))) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/.f64 (.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (PI.f64) (*.f64 v t)))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (PI.f64))) (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 (PI.f64) (.f64 v v)))) (/.f64 #s(literal -5/36 binary64) (.f64 (.f64 (PI.f64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 (PI.f64) (.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))))) (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (PI.f64))) (/.f64 #s(literal -5/144 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (pow.f64 v #s(literal 4 binary64)) t))))) (+.f64 (/.f64 #s(literal 5/36 binary64) (.f64 (.f64 (PI.f64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (pow.f64 v #s(literal 4 binary64)) t))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(/.f64 (+.f64 (/.f64 #s(literal -25/2592 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (pow.f64 v #s(literal 6 binary64)) t))) (-.f64 (+.f64 (/.f64 #s(literal -1/36 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (pow.f64 v #s(literal 6 binary64)) t))) (+.f64 (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64)))))) (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (PI.f64))) (/.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (.f64 (PI.f64) (.f64 v v)))))) (/.f64 #s(literal -5/144 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (pow.f64 v #s(literal 4 binary64)) t))))) (+.f64 (+.f64 (/.f64 #s(literal 5/36 binary64) (.f64 (.f64 (PI.f64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (pow.f64 v #s(literal 4 binary64)) t)))) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (pow.f64 v #s(literal 6 binary64)) t)))))) v)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/.f64 (.f64 #s(literal -5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (PI.f64) (*.f64 v t)))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (PI.f64))) (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 (PI.f64) (.f64 v v)))) (/.f64 #s(literal -5/36 binary64) (.f64 (.f64 (PI.f64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))))) (neg.f64 v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
(/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 (PI.f64) (.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))))) (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (PI.f64))) (/.f64 #s(literal -5/144 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (pow.f64 v #s(literal 4 binary64)) t))))) (+.f64 (/.f64 #s(literal 5/36 binary64) (.f64 (.f64 (PI.f64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (pow.f64 v #s(literal 4 binary64)) t))))) (neg.f64 v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))
(/.f64 (+.f64 (/.f64 #s(literal -25/2592 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (pow.f64 v #s(literal 6 binary64)) t))) (-.f64 (+.f64 (/.f64 #s(literal -1/36 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (pow.f64 v #s(literal 6 binary64)) t))) (+.f64 (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64)))))) (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (PI.f64))) (/.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (.f64 (PI.f64) (.f64 v v)))))) (/.f64 #s(literal -5/144 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (pow.f64 v #s(literal 4 binary64)) t))))) (+.f64 (+.f64 (/.f64 #s(literal 5/36 binary64) (.f64 (.f64 (PI.f64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (pow.f64 v #s(literal 4 binary64)) t)))) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (pow.f64 v #s(literal 6 binary64)) t)))))) (neg.f64 v))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(fma.f64 #s(literal -5 binary64) (/.f64 (*.f64 v v) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(fma.f64 #s(literal -5 binary64) (/.f64 (*.f64 v v) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
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(/.f64 (-.f64 (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 5/2592 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (/.f64 #s(literal 1/144 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))))) (/.f64 #s(literal 1/144 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64)))))) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 v v) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))) (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64)))))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (/.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) (.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 v (*.f64 v v)))
(/ (sqrt -1/6) (* (pow v 3) (PI)))
(/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (.f64 v (*.f64 v v))))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 v v) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (neg.f64 (.f64 v (*.f64 v v))))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3)))
(/.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/144 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 v v) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (/.f64 #s(literal 1/36 binary64) (.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 4 binary64))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (neg.f64 (.f64 v (.f64 v v))))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3)))
(/.f64 (-.f64 (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 5/2592 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (/.f64 #s(literal 1/144 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))))) (/.f64 #s(literal 1/144 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64)))))) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 v v) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))) (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64)))))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (/.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) (.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (neg.f64 (.f64 v (*.f64 v v))))

rewrite364.0ms (3.2%)

Memory

-9.9MiB live, 424.5MiB allocated

Rules

4 942×	`lower-/.f32`
4 928×	`lower-/.f64`
3 588×	`lower-*.f32`
3 558×	`lower-*.f64`
3 186×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	313
0	88	306
1	331	301
2	2472	301
0	8527	300

Stop Event

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

Counts

25 → 1 694

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(PI.f64)
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(*.f64 v #s(literal -5 binary64))
(.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 v v))))))
(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
(*.f64 v #s(literal 5 binary64))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t)
(.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(*.f64 (PI.f64) t)
(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t)))) (/.f64 (.f64 (.f64 v v) #s(literal 5 binary64)) (.f64 (PI.f64) (.f64 (.f64 t (-.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 binary64) (.f64 (+.f64 #s(literal -1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t)))) (/.f64 (.f64 (.f64 v v) #s(literal 5 binary64)) (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal -1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t)))) (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))))) (/.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))) (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64))) (.f64 (PI.f64) (.f64 (.f64 t (-.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 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64))) (.f64 (PI.f64) (.f64 (.f64 t (-.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 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64))) (.f64 (PI.f64) (.f64 (.f64 t (-.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 binary64) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64))) (.f64 (PI.f64) (.f64 (.f64 t (-.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 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 v v) #s(literal 5 binary64)) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (PI.f64) (.f64 (.f64 t (-.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 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -125 binary64)) (fma.f64 (.f64 (.f64 v v) #s(literal 5 binary64)) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (PI.f64) (.f64 (.f64 t (-.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 0 binary64) (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))))) (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 v v) #s(literal 5 binary64)) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -125 binary64)) (fma.f64 (.f64 (.f64 v v) #s(literal 5 binary64)) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 (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)))) (neg.f64 t))) (/.f64 (fma.f64 #s(literal -5 binary64) (.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 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (neg.f64 t))))
(-.f64 (/.f64 #s(literal 0 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)))) t)) (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #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)))) t)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t)))))) (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 t (+.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 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (PI.f64)) (.f64 (.f64 t (-.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 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (.f64 (.f64 (PI.f64) (.f64 (.f64 t (-.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 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 t (-.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 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)))))
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(/.f64 (.f64 (PI.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 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v))))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (PI.f64)) (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)))) (PI.f64)) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (PI.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 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))))) (neg.f64 (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (PI.f64))) (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))) (PI.f64))) (neg.f64 (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 (PI.f64) (.f64 v (neg.f64 v))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (.f64 (PI.f64) (.f64 v (neg.f64 v))) (.f64 (PI.f64) (.f64 v (neg.f64 v)))) (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 v (neg.f64 v)))))))
(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 (.f64 v (neg.f64 v)) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (.f64 (.f64 v (neg.f64 v)) (PI.f64)) (.f64 (.f64 v (neg.f64 v)) (PI.f64))) (.f64 (PI.f64) (.f64 (*.f64 v (neg.f64 v)) (PI.f64))))))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (PI.f64))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 (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))))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (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)))) #s(literal -1 binary64)))
(/.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 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))))
(/.f64 #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) (-.f64 #s(literal 1 binary64) (.f64 v v))))) #s(literal 1 binary64)))
(/.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 1 binary64) (*.f64 v v)))))
(/.f64 #s(literal -1 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 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))))))
(/.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) (PI.f64))))
(/.f64 (.f64 (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)))) #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 -1 binary64))
(/.f64 (.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 1 binary64) (PI.f64)))
(/.f64 (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 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(/.f64 (neg.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 1 binary64))
(pow.f64 (.f64 (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)))) #s(literal 1 binary64))
(pow.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) (-.f64 #s(literal 1 binary64) (.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 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(.f64 (PI.f64) (.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 (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 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 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 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(.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 1 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 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (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)))) #s(literal 1 binary64))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.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 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.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 (-.f64 #s(literal 1 binary64) (.f64 v v)) (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))) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(exp.f64 (.f64 (log.f64 (.f64 (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))))) #s(literal -1 binary64)))
(neg.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))))))
(/.f64 #s(literal 1 binary64) (.f64 (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 #s(literal 1 binary64) (neg.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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (/.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 (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) (neg.f64 (neg.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)))))))
(/.f64 (/.f64 #s(literal 1 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 1 binary64) (PI.f64)) (.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 1 binary64) (.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 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 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 (neg.f64 (/.f64 #s(literal 1 binary64) (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 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(pow.f64 (.f64 (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)))) #s(literal -1 binary64))
(pow.f64 (neg.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 -1 binary64))
(pow.f64 (pow.f64 (.f64 (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)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (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 (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))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (.f64 (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)))))) #s(literal -1 binary64))
(.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 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(.f64 #s(literal -1 binary64) (/.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))))))
(.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) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal 1 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 1 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (.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 1 binary64) (PI.f64)) (pow.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 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.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 1 binary64) (PI.f64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (pow.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (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)))) #s(literal -1/2 binary64)) (pow.f64 (.f64 (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)))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (.f64 (cbrt.f64 (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))))

eval390.0ms (3.4%)

Memory: 36.9MiB live, 616.8MiB allocated
Compiler: Compiled 83 328 to 4 406 computations (94.7% saved)

prune518.0ms (4.6%)

Memory

-35.2MiB live, 523.6MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	2 516	14	2 530
Fresh	5	3	8
Picked	4	1	5
Done	0	0	0
Total	2 525	18	2 543

Accuracy

100.0%

Counts

2 543 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) (+.f64 #s(literal -1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
▶	99.1%	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))))))
	96.8%	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) #s(literal -1 binary64)))))
	99.1%	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx ( (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v))))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 t (fma.f64 v v #s(literal -1 binary64)))))))
	96.9%	(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
▶	99.4%	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
	99.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 5 binary64))) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
	96.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 #s(approx ( (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
	99.1%	(.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))
▶	96.6%	(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
	97.4%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t))
	97.0%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))))
▶	97.0%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)))
	97.1%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	96.8%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)))
	96.7%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
✓	96.6%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
▶	96.5%	#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))

Compiler

Compiled 635 to 451 computations (29% saved)

simplify152.0ms (1.3%)

Memory

32.7MiB live, 295.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff	0	(*.f64 v #s(literal 5 binary64))
cost-diff	0	(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
cost-diff	0	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))))))
cost-diff	0	(*.f64 v #s(literal -5 binary64))
cost-diff	0	(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t)
cost-diff	0	(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
cost-diff	0	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
cost-diff	0	(*.f64 t (PI.f64))
cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
cost-diff	0	#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
cost-diff	0	(*.f64 v #s(literal -5 binary64))
cost-diff	0	(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t))
cost-diff	512	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))

Rules

5 520×	`lower-*.f32`
5 500×	`lower-*.f64`
3 162×	`lower-fma.f32`
3 154×	`lower-fma.f64`
2 486×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	398
0	102	400
1	196	387
2	484	384
3	2033	382
4	5697	382
0	8332	382

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(*.f64 (PI.f64) t)
(PI.f64)
t
(.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 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
(*.f64 v v)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 t (PI.f64))
t
(PI.f64)
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
t
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(PI.f64)
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t)
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
t
#s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 5 binary64))
#s(literal 5 binary64)
#s(literal -1 binary64)
(.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (PI.f64) t)
(PI.f64)
t
(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
(*.f64 v v)
#s(literal 2 binary64)
#s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v v #s(literal -1 binary64))

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

localize221.0ms (1.9%)

Memory

-12.4MiB live, 265.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.25390625	(*.f64 (PI.f64) t)
accuracy	0.46798352847921515	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))))))
accuracy	0.47626879884221013	(.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	0.01171875	(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t)
accuracy	0.30078125	(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
accuracy	1.0	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
accuracy	1.544333005328265	#s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
accuracy	0.296875	(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.3515625	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
accuracy	0.43359375	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
accuracy	1.5730363895617059	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)))
accuracy	0	(PI.f64)
accuracy	0.25390625	(*.f64 t (PI.f64))
accuracy	0.43587875976844204	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
accuracy	1.5730363895617059	#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
accuracy	0.015625	(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy	0.25390625	(*.f64 (PI.f64) t)
accuracy	0.3203125	(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t))
accuracy	0.40853500976844204	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))

Samples

155.0ms

256×

valid

Compiler

Compiled 376 to 55 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-mult: 97.0ms (76% of total)

ival-div: 14.0ms (11% of total)

ival-sqrt: 6.0ms (4.7% of total)

ival-add: 4.0ms (3.1% of total)

ival-sub: 3.0ms (2.4% of total)

ival-pi: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series29.0ms (0.3%)

Memory

17.8MiB live, 53.4MiB allocated

Counts

24 → 348

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (patch (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (patch (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) #<representation binary64>) () ())
#s(alt (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (patch (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 v #s(literal -5 binary64)) (patch (.f64 v #s(literal -5 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))) (patch #s(approx (/ (+ ( v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) (patch (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 1/2 binary64)) (patch (sqrt.f64 #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 t (PI.f64)) (patch (.f64 t (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))) (patch #s(approx (/ (- 1 ( 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 t (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 t (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (patch (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) (patch (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))))) #<representation binary64>) () ())
#s(alt (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (patch (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 v #s(literal 5 binary64)) (patch (.f64 v #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64))))) (patch (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (PI.f64) t) (patch (.f64 (PI.f64) t) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (patch (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt (/ (sqrt 1/2) (* t (PI))) (taylor 0 v) (#s(alt (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (patch (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) (taylor 0 v) (#s(alt (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (patch (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) (taylor 0 v) (#s(alt (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (patch (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (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)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) (taylor 0 v) (#s(alt (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (patch (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* 5 (/ (sqrt -1/6) (* t (* v (PI))))) (taylor inf v) (#s(alt (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (patch (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) (taylor inf v) (#s(alt (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (patch (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v) (taylor inf v) (#s(alt (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (patch (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v) (taylor inf v) (#s(alt (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (patch (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* -5 (/ (sqrt -1/6) (* t (* v (PI))))) (taylor -inf v) (#s(alt (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (patch (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) (taylor -inf v) (#s(alt (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (patch (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)) (taylor -inf v) (#s(alt (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (patch (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)) (taylor -inf v) (#s(alt (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (patch (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (patch (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (patch (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (patch (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
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#s(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))))) (taylor inf v) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 3) (sqrt -6)) (taylor -inf v) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))) (taylor -inf v) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf v) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf v) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (/ (sqrt 1/2) (PI)) (taylor 0 v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (/ (sqrt 1/2) (PI))) (taylor 0 v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))) (taylor 0 v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))) (taylor 0 v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sqrt -1/6) (* (pow v 3) (PI)))) (taylor inf v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3)) (taylor inf v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3)) (taylor inf v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3)) (taylor inf v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (/ (sqrt -1/6) (* (pow v 3) (PI))) (taylor -inf v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3))) (taylor -inf v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3))) (taylor -inf v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3))) (taylor -inf v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (sqrt 2)) (taylor 0 v) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))) (taylor 0 v) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (sqrt 2) (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))) (taylor 0 v) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (sqrt 2) (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (+ (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* (pow v 2) (- (* 27/2 (/ 1 (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))))) (taylor 0 v) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 3) (sqrt -6)) (taylor inf v) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 3) (+ (sqrt -6) (+ (* -1 (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))) (taylor inf v) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 3) (+ (sqrt -6) (+ (* -1 (/ (sqrt -6) (pow v 2))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (/ 1 (sqrt -6))) (pow v 4))) (/ 1 (* (pow v 2) (sqrt -6))))))) (taylor inf v) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 3) (- (+ (sqrt -6) (+ (* -1 (/ (sqrt -6) (pow v 2))) (+ (/ 1/2 (* (pow v 6) (pow (sqrt -6) 3))) (+ (/ 1/2 (* (pow v 6) (pow (sqrt -6) 5))) (/ 1 (* (pow v 2) (sqrt -6))))))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (taylor inf v) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow v 3) (sqrt -6))) (taylor -inf v) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow v 3) (+ (sqrt -6) (+ (* -1 (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))) (taylor -inf v) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow v 3) (+ (sqrt -6) (+ (* -1 (/ (sqrt -6) (pow v 2))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (/ 1 (sqrt -6))) (pow v 4))) (/ 1 (* (pow v 2) (sqrt -6)))))))) (taylor -inf v) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow v 3) (- (+ (sqrt -6) (+ (* -1 (/ (sqrt -6) (pow v 2))) (+ (/ 1/2 (* (pow v 6) (pow (sqrt -6) 3))) (+ (/ 1/2 (* (pow v 6) (pow (sqrt -6) 5))) (/ 1 (* (pow v 2) (sqrt -6))))))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (taylor -inf v) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())

Calls

87 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(/ (sqrt 1/2) (* t (PI)))
0.0ms	t	@	inf	(/ (sqrt 1/2) (* t (PI)))
0.0ms	v	@	inf	(* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v)))
0.0ms	v	@	0	(/ (+ (* v (* v -5)) 1) (* (PI) t))
0.0ms	t	@	0	(/ (+ (* v (* v -5)) 1) (* (PI) t))

simplify305.0ms (2.7%)

Memory

5.1MiB live, 378.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 992×	`lower-fma.f64`
7 992×	`lower-fma.f32`
5 176×	`lower-*.f64`
5 176×	`lower-*.f32`
3 618×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	536	9203
1	1665	8286
2	6846	8285
0	8046	7919

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

Outputs
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 v (.f64 v (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (fma.f64 (.f64 v v) (+.f64 (/.f64 #s(literal 27/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))))) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (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)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (fma.f64 (.f64 v v) (+.f64 (fma.f64 (.f64 v v) (+.f64 (+.f64 (/.f64 #s(literal 135/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal -27/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))))) (/.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))))) (/.f64 #s(literal 27/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))))) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/.f64 (.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (*.f64 (PI.f64) v)))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (PI.f64))) (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 (PI.f64) (.f64 v v)))) (/.f64 #s(literal -5/36 binary64) (.f64 (.f64 v v) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 (PI.f64) (.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (.f64 t (pow.f64 v #s(literal 4 binary64)))))) (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (PI.f64))) (/.f64 #s(literal -5/144 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (pow.f64 v #s(literal 4 binary64))))))) (-.f64 (/.f64 #s(literal -5/36 binary64) (.f64 (.f64 v v) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (pow.f64 v #s(literal 4 binary64))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal -25/2592 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (pow.f64 v #s(literal 6 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 (PI.f64) (.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (.f64 t (pow.f64 v #s(literal 4 binary64)))))) (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (PI.f64))) (/.f64 (.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64)) (.f64 t (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))))) (+.f64 (/.f64 #s(literal -5/144 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (pow.f64 v #s(literal 4 binary64))))) (/.f64 #s(literal -1/36 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (pow.f64 v #s(literal 6 binary64)))))))) (+.f64 (/.f64 #s(literal 5/36 binary64) (.f64 (.f64 v v) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (pow.f64 v #s(literal 4 binary64))))) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (pow.f64 v #s(literal 6 binary64)))))))) v)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/.f64 (.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -5 binary64)) (.f64 t (*.f64 (PI.f64) v)))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (PI.f64))) (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 (PI.f64) (.f64 v v)))) (/.f64 #s(literal -5/36 binary64) (.f64 (.f64 v v) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))))) (neg.f64 v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
(/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 (PI.f64) (.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (.f64 t (pow.f64 v #s(literal 4 binary64)))))) (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (PI.f64))) (/.f64 #s(literal -5/144 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (pow.f64 v #s(literal 4 binary64))))))) (-.f64 (/.f64 #s(literal -5/36 binary64) (.f64 (.f64 v v) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (pow.f64 v #s(literal 4 binary64))))))) (neg.f64 v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal -25/2592 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (pow.f64 v #s(literal 6 binary64))))) (+.f64 (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 (PI.f64) (.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (.f64 t (pow.f64 v #s(literal 4 binary64)))))) (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (PI.f64))) (/.f64 (.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64)) (.f64 t (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))))) (+.f64 (/.f64 #s(literal -5/144 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (pow.f64 v #s(literal 4 binary64))))) (/.f64 #s(literal -1/36 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (pow.f64 v #s(literal 6 binary64)))))))) (+.f64 (/.f64 #s(literal 5/36 binary64) (.f64 (.f64 v v) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (pow.f64 v #s(literal 4 binary64))))) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (pow.f64 v #s(literal 6 binary64)))))))) (neg.f64 v))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
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(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/144 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))) (-.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 v (.f64 v (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1/36 binary64) (.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 4 binary64)))))) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (.f64 v v))))) (neg.f64 (.f64 v (.f64 v v))))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3)))
(/.f64 (-.f64 (-.f64 (+.f64 (+.f64 (-.f64 (/.f64 #s(literal 5/2592 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (+.f64 (/.f64 #s(literal 1/144 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))) (/.f64 #s(literal 1/144 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))))) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 v (.f64 v (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64)))))))) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) (.f64 v v))) (/.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)) (PI.f64))) (neg.f64 (.f64 v (*.f64 v v))))
(* -1 (sqrt 2))
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1 (sqrt 2)) (* (pow v 2) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (*.f64 v v) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(+ (* -1 (sqrt 2)) (* (pow v 2) (+ (sqrt 2) (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2)))))))))
(fma.f64 (.f64 v v) (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 v v) (+.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)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(+ (* -1 (sqrt 2)) (* (pow v 2) (+ (sqrt 2) (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (+ (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* (pow v 2) (- (* 27/2 (/ 1 (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2)))))))))
(-.f64 (.f64 (.f64 v v) (fma.f64 (.f64 v v) (+.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 v v) (-.f64 (/.f64 #s(literal 27/2 binary64) (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))))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(* (pow v 3) (sqrt -6))
(.f64 (.f64 v v) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* (pow v 3) (+ (sqrt -6) (+ (* -1 (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))
(.f64 v (.f64 (.f64 v v) (+.f64 (sqrt.f64 #s(literal -6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v))))))
(* (pow v 3) (+ (sqrt -6) (+ (* -1 (/ (sqrt -6) (pow v 2))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (/ 1 (sqrt -6))) (pow v 4))) (/ 1 (* (pow v 2) (sqrt -6)))))))
(.f64 (.f64 v (.f64 v v)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))) (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64)))) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)))))
(* (pow v 3) (- (+ (sqrt -6) (+ (* -1 (/ (sqrt -6) (pow v 2))) (+ (/ 1/2 (* (pow v 6) (pow (sqrt -6) 3))) (+ (/ 1/2 (* (pow v 6) (pow (sqrt -6) 5))) (/ 1 (* (pow v 2) (sqrt -6))))))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(.f64 (.f64 v (.f64 v v)) (-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64))))))))
(* -1 (* (pow v 3) (sqrt -6)))
(.f64 (.f64 v (*.f64 v v)) (neg.f64 (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* (pow v 3) (+ (sqrt -6) (+ (* -1 (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))))
(.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)))) (neg.f64 (.f64 v (.f64 v v))))
(* -1 (* (pow v 3) (+ (sqrt -6) (+ (* -1 (/ (sqrt -6) (pow v 2))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (/ 1 (sqrt -6))) (pow v 4))) (/ 1 (* (pow v 2) (sqrt -6))))))))
(.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))) (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64)))) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)))) (neg.f64 (.f64 v (.f64 v v))))
(* -1 (* (pow v 3) (- (+ (sqrt -6) (+ (* -1 (/ (sqrt -6) (pow v 2))) (+ (/ 1/2 (* (pow v 6) (pow (sqrt -6) 3))) (+ (/ 1/2 (* (pow v 6) (pow (sqrt -6) 5))) (/ 1 (* (pow v 2) (sqrt -6))))))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))))
(.f64 (-.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64))))))) (neg.f64 (.f64 v (.f64 v v))))

rewrite323.0ms (2.9%)

Memory

-23.9MiB live, 384.6MiB allocated

Rules

5 458×	`lower-/.f32`
5 442×	`lower-/.f64`
3 564×	`lower-*.f32`
3 544×	`lower-*.f64`
3 512×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	304
0	102	304
1	370	292
2	2600	288
0	9073	287

Stop Event

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

Counts

24 → 781

Calls

Call 1

Inputs
(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(*.f64 v #s(literal -5 binary64))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 t (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t)
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
(*.f64 v #s(literal 5 binary64))
(.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (PI.f64) t)
(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(PI.f64)
#s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64))))

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (/.f64 (.f64 (.f64 t (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (fma.f64 v v #s(literal -1 binary64))) (neg.f64 (.f64 (PI.f64) t)))) (/.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (fma.f64 v v #s(literal -1 binary64))) (neg.f64 (.f64 (PI.f64) t)))))
(-.f64 (/.f64 #s(literal -1 binary64) (.f64 (PI.f64) (.f64 (.f64 t (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (*.f64 (PI.f64) t)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (fma.f64 v v #s(literal -1 binary64))) (neg.f64 (.f64 (PI.f64) t)))) (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (.f64 t (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (fma.f64 v v #s(literal -1 binary64))) (neg.f64 (.f64 (PI.f64) t)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 25 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (fma.f64 v v #s(literal -1 binary64))) (neg.f64 (.f64 (PI.f64) t)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (fma.f64 v v #s(literal -1 binary64))) (neg.f64 (.f64 (PI.f64) t)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -125 binary64)) (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (fma.f64 v v #s(literal -1 binary64))) (neg.f64 (.f64 (PI.f64) t)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 25 binary64)) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (fma.f64 v v #s(literal -1 binary64))) (neg.f64 (.f64 (PI.f64) t)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (fma.f64 v v #s(literal -1 binary64))) (neg.f64 (.f64 (PI.f64) t)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) t)))) (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (*.f64 (PI.f64) t)))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) t)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 25 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) t)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) t)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -125 binary64)) (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) t)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 25 binary64)) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) t)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (PI.f64) t)))))
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(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (PI.f64)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64))))
(.f64 #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))

eval244.0ms (2.2%)

Memory: 20.8MiB live, 352.8MiB allocated
Compiler: Compiled 40 110 to 3 078 computations (92.3% saved)

prune251.0ms (2.2%)

Memory

13.3MiB live, 545.1MiB allocated

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	1 418	12	1 430
Fresh	5	7	12
Picked	2	3	5
Done	0	1	1
Total	1 425	23	1 448

Accuracy

100.0%

Counts

1 448 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
✓	99.1%	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))))))
	96.8%	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) #s(literal -1 binary64)))))
▶	96.9%	(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
✓	99.4%	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
	99.1%	(/.f64 (-.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64))))))
	96.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 #s(approx ( (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
	96.6%	(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) t)
	96.6%	(/.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 t (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))
	99.1%	(.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (PI.f64) (.f64 (.f64 t (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))))
	96.6%	(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
	96.6%	(.f64 (/.f64 #s(approx (+ ( v (* v -5)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
▶	96.6%	(.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 ( (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
	97.1%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) (PI.f64)))
	97.0%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))))
	97.1%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
▶	97.0%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
	96.8%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)))
	96.7%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
✓	96.6%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
	96.5%	#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
✓	96.5%	#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
▶	96.6%	#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))

Compiler

Compiled 684 to 500 computations (26.9% saved)

simplify239.0ms (2.1%)

Memory

2.1MiB live, 226.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 v #s(literal -5 binary64))
cost-diff	0	(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
cost-diff	0	(.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 ( (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
cost-diff	320	(.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t))
cost-diff	0	#s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	(*.f64 v #s(literal -5 binary64))
cost-diff	0	(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
cost-diff	0	(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) t)
cost-diff	0	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(*.f64 (PI.f64) t)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
cost-diff	0	#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
cost-diff	0	(.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
cost-diff	0	(*.f64 v #s(literal 5 binary64))
cost-diff	0	(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
cost-diff	0	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))

Rules

5 006×	`lower-*.f32`
4 984×	`lower-*.f64`
3 538×	`lower-fma.f32`
3 530×	`lower-fma.f64`
2 664×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	403
0	100	405
1	204	384
2	539	381
3	2308	380
4	6540	380
0	8731	380

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 5 binary64))
#s(literal 5 binary64)
#s(literal -1 binary64)
(.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64))))
(*.f64 (PI.f64) t)
(PI.f64)
t
#s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v v #s(literal -1 binary64))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
(*.f64 v v)
#s(literal 2 binary64)
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
#s(literal 1 binary64)
(*.f64 (PI.f64) t)
(PI.f64)
t
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) t)
#s(literal 1 binary64)
t
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))
(PI.f64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
#s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
t
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))
(PI.f64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 ( (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) t)
t
#s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)

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

localize366.0ms (3.2%)

Memory

-26.2MiB live, 228.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t))
accuracy	0.30078125	(.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 ( (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
accuracy	1.0	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
accuracy	1.544333005328265	#s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
accuracy	0.009070031620653759	(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
accuracy	0.203125	(.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.46798352847921515	(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
accuracy	1.532475790825785	#s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	(PI.f64)
accuracy	0.34765625	(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
accuracy	1.5730363895617059	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.25390625	(*.f64 (PI.f64) t)
accuracy	0.30078125	(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
accuracy	0.43978500976844204	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	1.5730363895617059	#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))
accuracy	0.015625	(.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.25390625	(*.f64 (PI.f64) t)
accuracy	0.46798352847921515	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
accuracy	0.4739837890737681	(.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))

Samples

191.0ms

256×

valid

Compiler

Compiled 361 to 60 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-mult: 82.0ms (60.3% of total)

ival-sqrt: 30.0ms (22.1% of total)

ival-div: 13.0ms (9.6% of total)

ival-add: 4.0ms (2.9% of total)

ival-sub: 3.0ms (2.2% of total)

ival-pi: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series23.0ms (0.2%)

Memory

29.6MiB live, 29.6MiB allocated

Counts

24 → 348

Calls

Call 1

Inputs
#s(alt (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (patch (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 v #s(literal 5 binary64)) (patch (.f64 v #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (patch (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) #<representation binary64>) () ())
#s(alt (.f64 (PI.f64) t) (patch (.f64 (PI.f64) t) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (/ (- 1 ( 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) t) (patch (/.f64 #s(literal 1 binary64) t) #<representation binary64>) () ())
#s(alt (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (patch (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 v #s(literal -5 binary64)) (patch (.f64 v #s(literal -5 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)) (patch (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 ( (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (patch (.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 ( (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (patch (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (patch (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #<representation binary64>) () ())

Outputs
#s(alt (/ (sqrt 1/2) (* t (PI))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (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)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 5 (/ (sqrt -1/6) (* t (* v (PI))))) (taylor inf v) (#s(alt (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) (taylor inf v) (#s(alt (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v) (taylor inf v) (#s(alt (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (/ (sqrt 1/2) (PI)) (taylor 0 v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (/ (sqrt 1/2) (PI))) (taylor 0 v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))) (taylor 0 v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))) (taylor 0 v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sqrt -1/6) (* (pow v 3) (PI)))) (taylor inf v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3)) (taylor inf v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3)) (taylor inf v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3)) (taylor inf v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (/ (sqrt -1/6) (* (pow v 3) (PI))) (taylor -inf v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3))) (taylor -inf v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3))) (taylor -inf v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3))) (taylor -inf v) (#s(alt #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (patch #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #<representation binary64>) () ())) ())

Calls

87 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(/ 1 (* (PI) t))
0.0ms	t	@	inf	(/ 1 (* (PI) t))
0.0ms	t	@	-inf	(/ 1 (* (PI) t))
0.0ms	v	@	0	(* (* (PI) t) (neg (- 1 (* v v))))
0.0ms	t	@	-inf	(* (* (PI) t) (neg (- 1 (* v v))))

simplify487.0ms (4.3%)

Memory

9.6MiB live, 477.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 118×	`lower-fma.f64`
11 118×	`lower-fma.f32`
5 612×	`lower-*.f64`
5 612×	`lower-*.f32`
3 292×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	477	9180
1	1511	8271
2	6541	8260
0	8124	7864

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

rewrite273.0ms (2.4%)

Memory

-15.6MiB live, 459.4MiB allocated

Rules

4 924×	`lower-/.f32`
4 912×	`lower-/.f64`
3 596×	`lower-*.f32`
3 574×	`lower-*.f64`
3 570×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	321
0	100	317
1	365	302
2	2536	299
0	8722	298

Stop Event

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

Counts

24 → 669

Calls

Call 1

Inputs
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
(*.f64 v #s(literal 5 binary64))
(.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
(*.f64 (PI.f64) t)
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) t)
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(*.f64 v #s(literal -5 binary64))
#s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t))
(.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 ( (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64))))
(PI.f64)
(sqrt.f64 #s(literal 2 binary64))
(.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (.f64 (PI.f64) t) (.f64 #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))) (/.f64 (.f64 v (.f64 v #s(literal 5 binary64))) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) t) (.f64 #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))) (.f64 (.f64 (PI.f64) t) (.f64 #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))) (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v #s(literal 5 binary64))) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -125 binary64)) (fma.f64 (.f64 v (.f64 v #s(literal 5 binary64))) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
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(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -125 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) t) #s(approx (/ 1 ( (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) t) #s(approx (/ 1 ( (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)) #s(approx (/ 1 ( (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))
(.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) t) #s(approx (/ 1 ( (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(.f64 #s(approx (/ 1 ( (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)) t))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) t))
(.f64 (PI.f64) (.f64 t #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))))
(.f64 t (.f64 (PI.f64) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))))
(.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))))
(.f64 #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))) (*.f64 (PI.f64) t))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 t #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 t #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))))))
(.f64 (.f64 t #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))
(.f64 (.f64 #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64))) (PI.f64)) t)
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(fabs.f64 (PI.f64))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 (*.f64 (PI.f64) t)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) t)) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) t)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)))
(/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) t))
(/.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) t))
(/.f64 (neg.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) t))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))))
(/.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t))
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) t))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) t)))
(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) t))
(.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)
(*.f64 (/.f64 (PI.f64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) t)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t))
(.f64 (/.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) t)
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
(.f64 (/.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 t))
#s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (PI.f64)))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (log.f64 (PI.f64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (PI.f64))))
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64))))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (PI.f64))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (PI.f64))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))

eval265.0ms (2.3%)

Memory: -10.1MiB live, 441.9MiB allocated
Compiler: Compiled 35 366 to 2 950 computations (91.7% saved)

prune236.0ms (2.1%)

Memory

10.9MiB live, 545.7MiB allocated

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	1 368	8	1 376
Fresh	7	7	14
Picked	2	3	5
Done	1	3	4
Total	1 378	21	1 399

Accuracy

100.0%

Counts

1 399 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
✓	99.1%	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
✓	99.1%	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))))))
	96.8%	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 #s(approx (* (* (PI) t) (neg (- 1 (* v v)))) (neg.f64 (.f64 t (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
	99.4%	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (PI.f64) t)) (.f64 #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
	99.1%	(/.f64 (-.f64 (.f64 v (.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
	96.6%	(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) t)
	96.6%	(/.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 t (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))
	3.5%	(/.f64 #s(approx (+ (* v (* v -5)) 1) (.f64 (.f64 v v) #s(literal -5 binary64))) #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
	96.8%	(/.f64 #s(approx (+ (* v (* v -5)) 1) #s(literal 1 binary64)) #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
	99.1%	(.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (.f64 #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
	96.6%	(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
✓	96.6%	(.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 ( (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
	97.4%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t))
	97.0%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))))
	97.1%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	96.7%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
✓	96.6%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
	96.5%	#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
✓	96.5%	#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
✓	96.6%	#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))

Compiler

Compiled 1 208 to 416 computations (65.6% saved)

regimes116.0ms (1%)

Memory

-1.4MiB live, 114.0MiB allocated

Counts

48 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)))
(/.f64 #s(approx (+ (* v (* v -5)) 1) #s(literal 1 binary64)) #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t))
(.f64 (/.f64 #s(approx (+ ( v (* v -5)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (+ (* v (* v -5)) 1) (.f64 (.f64 v v) #s(literal -5 binary64))) #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) (PI.f64)))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) t)
(.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 ( (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 t (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 #s(approx (* (* (PI) t) (neg (- 1 (* v v)))) (neg.f64 (.f64 t (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 #s(approx ( (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(approx ( 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) #s(literal -1 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx ( (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v))))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 t (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 v (.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) (+.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 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 5 binary64))) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 v v))))))
(.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (PI.f64) (.f64 (.f64 t (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))))
(.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (.f64 #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (PI.f64) t)) (.f64 #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))
(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64))) (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v))))

Outputs

(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))

Calls

5 calls:

18.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
16.0ms	t
14.0ms	(*.f64 (PI.f64) t)
13.0ms	v
11.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.6%	1	`v`
99.6%	1	`t`
99.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
99.6%	1	`(*.f64 v v)`
99.6%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes71.0ms (0.6%)

Memory

-6.8MiB live, 109.6MiB allocated

Counts

46 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)))
(/.f64 #s(approx (+ (* v (* v -5)) 1) #s(literal 1 binary64)) #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t))
(.f64 (/.f64 #s(approx (+ ( v (* v -5)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (+ (* v (* v -5)) 1) (.f64 (.f64 v v) #s(literal -5 binary64))) #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) (PI.f64)))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) t)
(.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 ( (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 t (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 #s(approx (* (* (PI) t) (neg (- 1 (* v v)))) (neg.f64 (.f64 t (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 #s(approx ( (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(approx ( 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) #s(literal -1 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx ( (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v))))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 t (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 v (.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) (+.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 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 5 binary64))) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 v v))))))
(.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (PI.f64) (.f64 (.f64 t (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))))
(.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (.f64 #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (PI.f64) t)) (.f64 #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))
(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64))) (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))

Outputs

(*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))

Calls

5 calls:

16.0ms	(*.f64 (PI.f64) t)
15.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
14.0ms	t
13.0ms	v
11.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.5%	1	`v`
99.5%	1	`t`
99.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
99.5%	1	`(*.f64 v v)`
99.5%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes80.0ms (0.7%)

Memory

-10.5MiB live, 71.9MiB allocated

Counts

44 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)))
(/.f64 #s(approx (+ (* v (* v -5)) 1) #s(literal 1 binary64)) #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t))
(.f64 (/.f64 #s(approx (+ ( v (* v -5)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (+ (* v (* v -5)) 1) (.f64 (.f64 v v) #s(literal -5 binary64))) #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) (PI.f64)))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) t)
(.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 ( (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 t (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 #s(approx (* (* (PI) t) (neg (- 1 (* v v)))) (neg.f64 (.f64 t (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 #s(approx ( (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(approx ( 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) #s(literal -1 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx ( (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v))))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 t (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 v (.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) (+.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 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 5 binary64))) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 v v))))))
(.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (PI.f64) (.f64 (.f64 t (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))))
(.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (.f64 #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (PI.f64) t)) (.f64 #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))
(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))

Outputs

(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) t)) (*.f64 #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))

Calls

5 calls:

25.0ms	v
16.0ms	(*.f64 v v)
13.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
12.0ms	(*.f64 (PI.f64) t)
12.0ms	t

Results

Accuracy	Segments	Branch
99.4%	1	`v`
99.4%	1	`t`
99.4%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
99.4%	1	`(*.f64 v v)`
99.4%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes61.0ms (0.5%)

Memory

-1.7MiB live, 113.1MiB allocated

Counts

40 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)))
(/.f64 #s(approx (+ (* v (* v -5)) 1) #s(literal 1 binary64)) #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t))
(.f64 (/.f64 #s(approx (+ ( v (* v -5)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (+ (* v (* v -5)) 1) (.f64 (.f64 v v) #s(literal -5 binary64))) #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) (PI.f64)))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) t)
(.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 ( (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 t (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 #s(approx (* (* (PI) t) (neg (- 1 (* v v)))) (neg.f64 (.f64 t (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 #s(approx ( (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(approx ( 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) #s(literal -1 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx ( (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v))))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 t (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 v (.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) (+.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 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 5 binary64))) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 v v))))))
(.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (PI.f64) (.f64 (.f64 t (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))))
(.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (.f64 #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))

Outputs

(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))

Calls

5 calls:

13.0ms	t
13.0ms	v
12.0ms	(*.f64 (PI.f64) t)
12.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
11.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.2%	1	`v`
99.2%	1	`t`
99.2%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
99.2%	1	`(*.f64 v v)`
99.2%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes60.0ms (0.5%)

Memory

6.7MiB live, 89.6MiB allocated

Counts

35 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)))
(/.f64 #s(approx (+ (* v (* v -5)) 1) #s(literal 1 binary64)) #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t))
(.f64 (/.f64 #s(approx (+ ( v (* v -5)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (+ (* v (* v -5)) 1) (.f64 (.f64 v v) #s(literal -5 binary64))) #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) (PI.f64)))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) t)
(.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 ( (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 t (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 #s(approx (* (* (PI) t) (neg (- 1 (* v v)))) (neg.f64 (.f64 t (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 #s(approx ( (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(approx ( 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) #s(literal -1 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx ( (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v))))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 t (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 v (.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) (+.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 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))

Outputs

(/.f64 (-.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))

Calls

5 calls:

15.0ms	(*.f64 v v)
12.0ms	v
11.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
10.0ms	t
10.0ms	(*.f64 (PI.f64) t)

Results

Accuracy	Segments	Branch
99.1%	1	`v`
99.1%	1	`t`
99.1%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
99.1%	1	`(*.f64 v v)`
99.1%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes51.0ms (0.4%)

Memory

15.0MiB live, 89.0MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)))
(/.f64 #s(approx (+ (* v (* v -5)) 1) #s(literal 1 binary64)) #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t))
(.f64 (/.f64 #s(approx (+ ( v (* v -5)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (+ (* v (* v -5)) 1) (.f64 (.f64 v v) #s(literal -5 binary64))) #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) (PI.f64)))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) t)
(.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 ( (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 t (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 #s(approx (* (* (PI) t) (neg (- 1 (* v v)))) (neg.f64 (.f64 t (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 #s(approx ( (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(approx ( 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) #s(literal -1 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx ( (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v))))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 t (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64))))))

Outputs

(/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))

Calls

5 calls:

11.0ms	t
10.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
9.0ms	(*.f64 v v)
9.0ms	(*.f64 (PI.f64) t)
9.0ms	v

Results

Accuracy	Segments	Branch
99.1%	1	`v`
99.1%	1	`t`
99.1%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
99.1%	1	`(*.f64 v v)`
99.1%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes69.0ms (0.6%)

Memory

-3.4MiB live, 43.8MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)))
(/.f64 #s(approx (+ (* v (* v -5)) 1) #s(literal 1 binary64)) #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t))
(.f64 (/.f64 #s(approx (+ ( v (* v -5)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (+ (* v (* v -5)) 1) (.f64 (.f64 v v) #s(literal -5 binary64))) #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) (PI.f64)))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) t)
(.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 ( (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 t (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 #s(approx (* (* (PI) t) (neg (- 1 (* v v)))) (neg.f64 (.f64 t (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 #s(approx ( (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(approx ( 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) #s(literal -1 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx ( (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v))))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 t (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))))))

Outputs

(/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v))))) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) (*.f64 t (fma.f64 v v #s(literal -1 binary64)))))))

Calls

5 calls:

34.0ms	(*.f64 (PI.f64) t)
9.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
9.0ms	t
8.0ms	v
7.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.1%	1	`v`
99.1%	1	`t`
99.1%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
99.1%	1	`(*.f64 v v)`
99.1%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes84.0ms (0.7%)

Memory

-8.2MiB live, 67.4MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)))
(/.f64 #s(approx (+ (* v (* v -5)) 1) #s(literal 1 binary64)) #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t))
(.f64 (/.f64 #s(approx (+ ( v (* v -5)) 1) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (+ (* v (* v -5)) 1) (.f64 (.f64 v v) #s(literal -5 binary64))) #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx ( (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) (PI.f64)))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) t)
(.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 ( (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 t (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 #s(approx (* (* (PI) t) (neg (- 1 (* v v)))) (neg.f64 (.f64 t (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 #s(approx ( (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(approx ( 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(approx (neg (- 1 ( v v))) #s(literal -1 binary64)))))

Outputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t))

Calls

5 calls:

48.0ms	(*.f64 v v)
10.0ms	v
8.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
8.0ms	t
8.0ms	(*.f64 (PI.f64) t)

Results

Accuracy	Segments	Branch
97.4%	1	`v`
97.4%	1	`t`
97.4%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
97.4%	1	`(*.f64 v v)`
97.4%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes22.0ms (0.2%)

Memory

6.0MiB live, 44.1MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)))
(/.f64 #s(approx (+ (* v (* v -5)) 1) #s(literal 1 binary64)) #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))))

Outputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))

Calls

5 calls:

6.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
4.0ms	t
4.0ms	v
4.0ms	(*.f64 (PI.f64) t)
3.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
97.1%	1	`v`
97.1%	1	`t`
97.1%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
97.1%	1	`(*.f64 v v)`
97.1%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes21.0ms (0.2%)

Memory

-8.5MiB live, 31.4MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)))
(/.f64 #s(approx (+ (* v (* v -5)) 1) #s(literal 1 binary64)) #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))

Outputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))

Calls

5 calls:

7.0ms	v
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
3.0ms	(*.f64 (PI.f64) t)
3.0ms	t
3.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
97.0%	1	`t`
97.0%	1	`(*.f64 (PI.f64) t)`
97.0%	1	`v`
97.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
97.0%	1	`(*.f64 v v)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes18.0ms (0.2%)

Memory

-2.7MiB live, 34.2MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)))
(/.f64 #s(approx (+ (* v (* v -5)) 1) #s(literal 1 binary64)) #s(approx (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))

Outputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)))

Calls

5 calls:

6.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
3.0ms	(*.f64 (PI.f64) t)
3.0ms	t
3.0ms	v
2.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
96.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
96.8%	1	`v`
96.8%	1	`t`
96.8%	1	`(*.f64 v v)`
96.8%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes11.0ms (0.1%)

Memory

30.3MiB live, 30.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))

Outputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))

Calls

5 calls:

2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
2.0ms	(*.f64 (PI.f64) t)
2.0ms	t
2.0ms	v
2.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
96.7%	1	`t`
96.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
96.7%	1	`(*.f64 (PI.f64) t)`
96.7%	1	`v`
96.7%	1	`(*.f64 v v)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes13.0ms (0.1%)

Memory

-9.3MiB live, 26.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))

#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))

#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))

Outputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))

Calls

5 calls:

5.0ms	(*.f64 v v)
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
2.0ms	v
2.0ms	(*.f64 (PI.f64) t)
2.0ms	t

Results

Accuracy	Segments	Branch
96.6%	1	`t`
96.6%	1	`(*.f64 (PI.f64) t)`
96.6%	1	`v`
96.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
96.6%	1	`(*.f64 v v)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes11.0ms (0.1%)

Memory

-14.3MiB live, 22.4MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))

#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))

Outputs
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))

Calls

5 calls:

4.0ms	v
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
2.0ms	(*.f64 (PI.f64) t)
2.0ms	t
1.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
96.6%	1	`v`
96.6%	1	`t`
96.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
96.6%	1	`(*.f64 v v)`
96.6%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes7.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))

Outputs
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))

Calls

5 calls:

1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
1.0ms	v
1.0ms	t
1.0ms	(*.f64 (PI.f64) t)
1.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
96.5%	1	`v`
96.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
96.5%	1	`(*.f64 v v)`
96.5%	1	`t`
96.5%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

simplify16.0ms (0.1%)

Memory

-25.3MiB live, 21.0MiB allocated

Algorithm

1×	egg-herbie

Rules

64×	`*-commutative_binary64`
16×	`+-commutative_binary64`
16×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	501
1	151	501
2	169	501
3	182	501
4	186	501

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (PI.f64) t)) (.f64 #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 (.f64 v (.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 ( v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) #s(approx (neg (- 1 (* v v))) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx ( (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v))))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 t (fma.f64 v v #s(literal -1 binary64)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) (neg (- 1 (* v v)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))

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

soundness1.4s (12.2%)

Memory

-22.4MiB live, 1 229.5MiB allocated

Rules

23 106×	`lower-fma.f64`
23 106×	`lower-fma.f32`
12 382×	`lower-fma.f64`
12 382×	`lower-fma.f32`
6 648×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	313
0	88	306
1	331	301
2	2472	301
0	8527	300
0	67	304
0	102	304
1	370	292
2	2600	288
0	9073	287
0	659	10788
1	2115	9773
0	8643	9360
0	195	2113
1	576	2013
2	2413	1898
0	8035	1805
0	19	73
0	32	73
1	128	73
2	923	67
0	8720	61
0	69	321
0	100	317
1	365	302
2	2536	299
0	8722	298

Stop Event

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

Compiler

Compiled 903 to 497 computations (45% saved)

preprocess227.0ms (2%)

Memory

-27.1MiB live, 247.7MiB allocated

Remove

(negabs t)

(abs v)

Compiler

Compiled 1 380 to 726 computations (47.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze50.0ms (0.4%)

sample1.6s (14.3%)

explain352.0ms (3.1%)

preprocess238.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify304.0ms (2.7%)

localize76.0ms (0.7%)

series28.0ms (0.2%)

simplify384.0ms (3.4%)

rewrite305.0ms (2.7%)

eval113.0ms (1%)

prune98.0ms (0.9%)

simplify156.0ms (1.4%)

localize167.0ms (1.5%)

series67.0ms (0.6%)

simplify362.0ms (3.2%)

rewrite364.0ms (3.2%)

eval390.0ms (3.4%)

prune518.0ms (4.6%)

simplify152.0ms (1.3%)

localize221.0ms (1.9%)

series29.0ms (0.3%)

simplify305.0ms (2.7%)

rewrite323.0ms (2.9%)

eval244.0ms (2.2%)

prune251.0ms (2.2%)

simplify239.0ms (2.1%)

localize366.0ms (3.2%)

series23.0ms (0.2%)

simplify487.0ms (4.3%)

rewrite273.0ms (2.4%)

eval265.0ms (2.3%)

prune236.0ms (2.1%)

regimes116.0ms (1%)

regimes71.0ms (0.6%)

regimes80.0ms (0.7%)

regimes61.0ms (0.5%)

regimes60.0ms (0.5%)

regimes51.0ms (0.4%)

regimes69.0ms (0.6%)

regimes84.0ms (0.7%)

regimes22.0ms (0.2%)

regimes21.0ms (0.2%)

regimes18.0ms (0.2%)

regimes11.0ms (0.1%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

simplify16.0ms (0.1%)

soundness1.4s (12.2%)

preprocess227.0ms (2%)

end0.0ms (0%)

Profiling