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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze53.0ms (0.5%)

Memory

-8.6MiB live, 74.1MiB 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)

sample1.5s (14.7%)

Memory

59.2MiB live, 1 824.1MiB allocated

Samples

1.1s	8 256×	0	valid
1.0ms	14×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 812.0ms

ival-mult: 384.0ms (47.3% of total)

ival-sub: 245.0ms (30.2% of total)

ival-sqrt: 65.0ms (8% of total)

ival-div: 54.0ms (6.7% of total)

ival-pi: 40.0ms (4.9% of total)

exact: 14.0ms (1.7% of total)

ival-true: 6.0ms (0.7% of total)

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

Bogosity

explain282.0ms (2.7%)

Memory

-33.8MiB live, 127.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

58.0ms

512×

valid

Compiler

Compiled 280 to 61 computations (78.2% saved)

Precisions

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

ival-mult: 20.0ms (53.7% of total)

ival-sub: 7.0ms (18.8% of total)

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

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

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

exact: 1.0ms (2.7% of total)

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

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

preprocess326.0ms (3.1%)

Memory

-6.9MiB live, 187.6MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.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

▶

99.4%

(/.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)

simplify303.0ms (2.9%)

Memory

-16.7MiB live, 302.7MiB 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))

localize99.0ms (0.9%)

Memory

29.3MiB live, 111.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1796875	(.f64 #s(literal 3 binary64) (.f64 v v))
accuracy	0.23828125	(*.f64 (PI.f64) t)
accuracy	0.2890625	(/.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	0.4677925293053261	(.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

69.0ms

256×

valid

Compiler

Compiled 125 to 21 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sqrt: 28.0ms (63.8% of total)

ival-mult: 10.0ms (22.8% of total)

ival-sub: 3.0ms (6.8% of total)

ival-pi: 1.0ms (2.3% of total)

ival-div: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.3%)

Memory

3.2MiB live, 42.4MiB 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (* -5 (pow v 2)) (taylor inf 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 (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor inf 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 (* 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
8.0ms	v	@	0	(/ (- 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))))
3.0ms	v	@	inf	(/ (- 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))))

simplify571.0ms (5.5%)

Memory

1.8MiB live, 678.3MiB 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)
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 v v) t)) (/.f64 #s(literal 5 binary64) t)) (/.f64 #s(literal -5/18 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 (.f64 v v) t)))) 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)
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(* 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))

rewrite456.0ms (4.4%)

Memory

4.9MiB live, 564.3MiB 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)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -125 binary64)))) (neg.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #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)

eval83.0ms (0.8%)

Memory: 7.5MiB live, 197.0MiB allocated
Compiler: Compiled 26 681 to 2 056 computations (92.3% saved)

prune90.0ms (0.9%)

Memory

-3.8MiB live, 228.9MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	592	11	603
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	593	11	604

Accuracy

100.0%

Counts

604 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.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))))))
	99.3%	(/.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))))))
▶	99.3%	(/.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))))
	55.2%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 v v) #s(literal 5 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (.f64 (.f64 (.f64 (PI.f64) t) (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))))))
	99.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.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 v v))))
▶	99.5%	(/.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))))
▶	98.7%	(/.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))))
	98.6%	(/.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)))))
▶	98.6%	#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 638 to 370 computations (42% saved)

simplify182.0ms (1.7%)

Memory

-7.9MiB live, 232.2MiB 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)) (.f64 (PI.f64) t))
cost-diff	384	(/.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))))
cost-diff	0	(*.f64 v v)
cost-diff	0	(.f64 #s(literal 5 binary64) (.f64 v v))
cost-diff	0	(/.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))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
cost-diff	0	(*.f64 v v)
cost-diff	0	(.f64 #s(literal 5 binary64) (.f64 v v))
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 #s(approx ( 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
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	384	(/.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

5 964×	`lower-*.f32`
5 934×	`lower-*.f64`
3 224×	`lower-/.f32`
3 210×	`lower-/.f64`
2 780×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	473
0	87	466
1	179	464
2	547	446
3	2884	446
4	6829	446
0	8604	446

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

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

localize145.0ms (1.4%)

Memory

5.9MiB live, 283.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(PI.f64)
accuracy	0.23828125	(*.f64 (PI.f64) t)
accuracy	0.2890625	(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t))
accuracy	0.4694137695368841	(/.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))))
accuracy	0.00390625	(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64))
accuracy	0.14357377930532608	(.f64 #s(literal 5 binary64) (.f64 v v))
accuracy	0.22265625	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t)
accuracy	0.2890625	(/.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))))
accuracy	0.23828125	(*.f64 (PI.f64) t)
accuracy	0.2890625	(/.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))))
accuracy	0.4677925293053261	(.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))
accuracy	0.5095893529089464	#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))
accuracy	0.29296875	(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.37890625	(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.40234375	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.49645305657744865	#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	0.00390625	(.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v)))
accuracy	0.01171875	(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))
accuracy	0.35384750976844204	(/.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)))))
accuracy	0.40234375	(.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

75.0ms

256×

valid

Compiler

Compiled 477 to 45 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 26.0ms (52.7% of total)

ival-div: 9.0ms (18.2% of total)

ival-sqrt: 5.0ms (10.1% of total)

ival-add: 3.0ms (6.1% of total)

ival-sub: 3.0ms (6.1% of total)

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

exact: 1.0ms (2% of total)

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

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

series48.0ms (0.5%)

Memory

-1.0MiB live, 75.2MiB allocated

Counts

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

Outputs
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#s(alt (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (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))) (PI.f64)) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))) (taylor inf v) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (* (PI) (sqrt -6)))) (taylor -inf v) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (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))) (PI.f64)) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (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))) (PI.f64)) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))) (taylor -inf v) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) #<representation binary64>) () ())) ())

Calls

99 calls:

Time	Variable		Point	Expression
4.0ms	v	@	inf	(/ (* (/ (+ (* v (* v -5)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
3.0ms	t	@	-inf	(/ 1 (* (PI) (* t (sqrt 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))))
1.0ms	t	@	-inf	(* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t)

simplify286.0ms (2.7%)

Memory

23.3MiB live, 415.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 638×	`lower-fma.f64`
7 638×	`lower-fma.f32`
6 130×	`lower-*.f64`
6 130×	`lower-*.f32`
2 814×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	494	9261
1	1547	8581
2	6459	8581
0	8054	8196

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 395

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

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

rewrite689.0ms (6.6%)

Memory

-288.0MiB live, 535.2MiB allocated

Rules

5 546×	`lower-/.f32`
5 532×	`lower-/.f64`
3 940×	`lower-*.f32`
3 910×	`lower-*.f64`
3 082×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	285
0	87	279
1	308	277
2	2341	277
0	8778	273

Stop Event

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

Counts

24 → 1 336

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

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

eval339.0ms (3.2%)

Memory: 11.7MiB live, 636.2MiB allocated
Compiler: Compiled 83 904 to 3 961 computations (95.3% saved)

prune291.0ms (2.8%)

Memory

33.4MiB live, 538.5MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	2 272	12	2 284
Fresh	5	1	6
Picked	4	1	5
Done	0	0	0
Total	2 281	14	2 295

Accuracy

100.0%

Counts

2 295 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.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))))
	98.7%	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.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))))
	99.4%	(/.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))))))
▶	99.8%	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶	98.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 #s(approx ( 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
	98.8%	(/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
▶	98.2%	#s(approx (/ (/ (+ (* v (* v -5)) 1) (* (PI) t)) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
▶	99.1%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t))
	98.5%	#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))))
	98.6%	#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)))
▶	98.8%	#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)))))
	98.7%	#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) (sqrt.f64 #s(literal 2 binary64))) t)))
	98.6%	#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)))))
✓	98.6%	#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 445 to 319 computations (28.3% saved)

simplify207.0ms (2%)

Memory

-1.1MiB live, 293.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 v v)
cost-diff	0	(.f64 #s(literal 5 binary64) (.f64 v v))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 #s(approx ( 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (PI.f64))
cost-diff	0	#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))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	384	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 #s(literal 1 binary64) (PI.f64))
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) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
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)) (- 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) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
cost-diff	384	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))

Rules

6 304×	`lower-*.f32`
6 284×	`lower-*.f64`
3 360×	`lower-/.f32`
3 344×	`lower-/.f64`
2 570×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	388
0	95	386
1	179	383
2	453	359
3	1896	359
4	5764	359
0	8146	359

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

localize146.0ms (1.4%)

Memory

-11.7MiB live, 305.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.14357377930532605	(.f64 #s(literal 5 binary64) (.f64 v v))
accuracy	0.22265625	(.f64 (.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t)
accuracy	0.2890625	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 #s(approx ( 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
accuracy	0.5095893529089464	#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	(PI.f64)
accuracy	0.109375	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
accuracy	0.49645305657744865	#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))
accuracy	0	(PI.f64)
accuracy	0.34994125976844204	(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.40234375	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.49645305657744865	#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)))))
accuracy	0	(PI.f64)
accuracy	0.23828125	(*.f64 t (PI.f64))
accuracy	0.40462875976844204	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
accuracy	0.49645305657744865	#s(approx (/ (/ (+ (* v (* v -5)) 1) (* (PI) t)) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
accuracy	0.00390625	(.f64 (PI.f64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy	0.00390625	(.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v)))
accuracy	0.0078125	(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
accuracy	0.11328125	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))

Samples

87.0ms

256×

valid

Compiler

Compiled 362 to 53 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 32.0ms (48.9% of total)

ival-div: 15.0ms (22.9% of total)

ival-sqrt: 8.0ms (12.2% of total)

ival-sub: 4.0ms (6.1% of total)

ival-add: 3.0ms (4.6% of total)

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

exact: 1.0ms (1.5% of total)

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

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

series41.0ms (0.4%)

Memory

-4.0MiB live, 79.9MiB allocated

Counts

25 → 324

Calls

Call 1

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

Calls

81 calls:

Time	Variable		Point	Expression
6.0ms	v	@	-inf	(/ (+ (* v (* v -5)) 1) (* (PI) (sqrt (+ (* (* v v) -6) 2))))
2.0ms	t	@	inf	(/ (sqrt 1/2) (* t (PI)))
1.0ms	v	@	inf	(/ (+ (* v (* v -5)) 1) (* (PI) (sqrt (+ (* (* v v) -6) 2))))
1.0ms	v	@	0	(/ (+ (* v (* v -5)) 1) (* (PI) (sqrt (+ (* (* v v) -6) 2))))
0.0ms	t	@	0	(/ (sqrt 1/2) (* t (PI)))

simplify327.0ms (3.1%)

Memory

23.9MiB live, 496.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 972×	`lower-fma.f64`
7 972×	`lower-fma.f32`
5 640×	`lower-*.f64`
5 640×	`lower-*.f32`
3 536×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	8247
1	1347	7516
2	5569	7516
0	8207	7210

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 323

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))))))
(/ (sqrt 1/2) (PI))
(+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (/ (sqrt 1/2) (PI)))
(+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (PI))) (+ (* 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)))) (* 15/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI)))
(+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (PI))) (+ (* 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)))) (* (pow v 2) (+ (* -5/2 (/ (- 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))))))) (* 15/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI)))
(* -5 (/ (* v (sqrt -1/6)) (PI)))
(* v (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI))))))
(* v (- (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))
(* v (- (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 5/2 (/ (+ 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))))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))
(* 5 (/ (* v (sqrt -1/6)) (PI)))
(* -1 (* v (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))))
(* -1 (* v (- (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6))))))))
(* -1 (* v (- (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 5/2 (/ (+ 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))))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6))))))))
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))
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(/ (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))))))
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(* 5 (pow v 2))
(* 5 (pow v 2))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
t
(+ t (* -1 (* t (pow v 2))))
(+ t (* -1 (* t (pow v 2))))
(+ t (* -1 (* t (pow v 2))))
(* -1 (* t (pow v 2)))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(* -1 (* t (pow v 2)))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(* (PI) (sqrt 2))
(+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))
(* v (* (PI) (sqrt -6)))
(* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (* (PI) (sqrt -6))))
(* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
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))
(* 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) (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)))))

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

rewrite302.0ms (2.9%)

Memory

-4.6MiB live, 427.3MiB allocated

Rules

5 642×	`lower-/.f32`
5 626×	`lower-/.f64`
3 618×	`lower-*.f32`
3 598×	`lower-*.f64`
2 886×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	286
0	95	284
1	347	276
2	2413	276
0	8689	271

Stop Event

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

Counts

25 → 751

Calls

Call 1

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

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

eval195.0ms (1.9%)

Memory: 7.2MiB live, 401.9MiB allocated
Compiler: Compiled 37 376 to 3 017 computations (91.9% saved)

prune203.0ms (1.9%)

Memory

23.4MiB live, 415.1MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1 358	4	1 362
Fresh	2	6	8
Picked	3	2	5
Done	0	1	1
Total	1 363	13	1 376

Accuracy

100.0%

Counts

1 376 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.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))))
	98.8%	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
	99.4%	(/.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))))))
✓	99.8%	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶	98.8%	(/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	98.2%	#s(approx (/ (/ (+ (* v (* v -5)) 1) (* (PI) t)) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
✓	98.2%	#s(approx (/ (/ (+ (* v (* v -5)) 1) (* (PI) t)) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
▶	98.3%	#s(approx (/ (/ (+ (* v (* v -5)) 1) (* (PI) t)) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))
	99.1%	#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))
▶	98.5%	#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))))
	98.7%	#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) (sqrt.f64 #s(literal 2 binary64))) t)))
▶	98.6%	#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)))))
✓	98.6%	#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 360 to 261 computations (27.5% saved)

simplify184.0ms (1.8%)

Memory

-7.9MiB live, 359.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

6 216×	`lower-*.f32`
6 196×	`lower-*.f64`
2 496×	`lower-/.f32`
2 484×	`lower-/.f64`
2 460×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	359
0	94	353
1	177	349
2	416	343
3	1888	343
4	5696	343
0	8189	343

Stop Event

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

Calls

Call 1

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

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

localize158.0ms (1.5%)

Memory

-19.7MiB live, 296.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))
accuracy	0.35384750976844204	(/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.40234375	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.49233535786216037	#s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.23828125	(*.f64 (PI.f64) t)
accuracy	0.28125	(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
accuracy	0.4772262695368841	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.49645305657744865	#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))))
accuracy	0.23828125	(*.f64 (PI.f64) t)
accuracy	0.28125	(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
accuracy	0.4186325195368841	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	0.49645305657744865	#s(approx (/ (/ (+ (* v (* v -5)) 1) (* (PI) t)) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))
accuracy	0.23828125	(*.f64 (PI.f64) t)
accuracy	0.29296875	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.4638862793053261	(.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.49645305657744865	#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)))))
accuracy	0.00390625	(.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)))
accuracy	0.00390625	(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64))
accuracy	0.22265625	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t)
accuracy	0.2890625	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.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))))

Samples

81.0ms

256×

valid

Compiler

Compiled 340 to 52 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 30.0ms (50.2% of total)

ival-div: 14.0ms (23.4% of total)

ival-sqrt: 6.0ms (10% of total)

ival-add: 4.0ms (6.7% of total)

ival-sub: 3.0ms (5% of total)

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

exact: 1.0ms (1.7% of total)

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

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

series25.0ms (0.2%)

Memory

17.7MiB live, 55.8MiB allocated

Counts

21 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))
0.0ms	t	@	inf	(* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))
0.0ms	v	@	0	(* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))
0.0ms	t	@	0	(* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))
0.0ms	t	@	-inf	(* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))

simplify345.0ms (3.3%)

Memory

3.4MiB live, 521.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 782×	`lower-fma.f64`
9 782×	`lower-fma.f32`
5 974×	`lower-*.f64`
5 974×	`lower-*.f32`
3 182×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	475	8982
1	1513	8269
2	6397	8263
0	8176	7887

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

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))))
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(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))

rewrite322.0ms (3.1%)

Memory

-3.8MiB live, 505.7MiB allocated

Rules

5 024×	`lower-/.f32`
5 012×	`lower-/.f64`
4 096×	`lower-*.f32`
4 076×	`lower-*.f64`
2 830×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	294
0	94	288
1	329	280
2	2162	280
0	8476	278

Stop Event

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

Counts

21 → 897

Calls

Call 1

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

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

eval209.0ms (2%)

Memory: -5.2MiB live, 513.7MiB allocated
Compiler: Compiled 37 928 to 2 814 computations (92.6% saved)

prune212.0ms (2%)

Memory

9.0MiB live, 552.4MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	1 395	4	1 399
Fresh	2	3	5
Picked	1	4	5
Done	0	3	3
Total	1 398	14	1 412

Accuracy

100.0%

Counts

1 412 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.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))))
	98.8%	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
	99.4%	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (PI.f64) t)))
	98.7%	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx ( (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
✓	99.8%	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))
	98.8%	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(approx ( (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	98.2%	#s(approx (/ (/ (+ (* v (* v -5)) 1) (* (PI) t)) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
✓	98.2%	#s(approx (/ (/ (+ (* v (* v -5)) 1) (* (PI) t)) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
✓	98.3%	#s(approx (/ (/ (+ (* v (* v -5)) 1) (* (PI) t)) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))
	99.1%	#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))
✓	98.5%	#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))))
	98.7%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
✓	98.6%	#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)))))
✓	98.6%	#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 815 to 271 computations (66.7% saved)

regimes137.0ms (1.3%)

Memory

4.3MiB live, 82.3MiB allocated

Counts

32 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

61.0ms	(/.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))))
49.0ms	(*.f64 (PI.f64) t)
9.0ms	t
9.0ms	v
8.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.8%	1	`v`
99.8%	1	`t`
99.8%	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))))`
99.8%	1	`(*.f64 v v)`
99.8%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes107.0ms (1%)

Memory

-34.4MiB live, 83.3MiB allocated

Counts

26 → 1

Calls

Call 1

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

Outputs

(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.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:

21.0ms	(/.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	v
8.0ms	(*.f64 (PI.f64) t)
8.0ms	t
6.0ms	(*.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)

regimes40.0ms (0.4%)

Memory

5.4MiB live, 87.0MiB allocated

Counts

22 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

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))))
10.0ms	v
7.0ms	(*.f64 (PI.f64) t)
7.0ms	t
6.0ms	(*.f64 v v)

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)

regimes37.0ms (0.4%)

Memory

7.6MiB live, 84.2MiB allocated

Counts

21 → 1

Calls

Call 1

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

Outputs

(/.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))))))

Calls

5 calls:

8.0ms	(*.f64 v v)
7.0ms	v
7.0ms	(/.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))))
7.0ms	(*.f64 (PI.f64) t)
7.0ms	t

Results

Accuracy	Segments	Branch
99.3%	1	`v`
99.3%	1	`t`
99.3%	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))))`
99.3%	1	`(*.f64 v v)`
99.3%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes92.0ms (0.9%)

Memory

-14.5MiB live, 69.7MiB allocated

Counts

20 → 1

Calls

Call 1

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

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:

66.0ms	v
7.0ms	(/.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))))
6.0ms	(*.f64 (PI.f64) t)
6.0ms	t
6.0ms	(*.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)

regimes19.0ms (0.2%)

Memory

28.1MiB live, 28.1MiB allocated

Counts

10 → 1

Calls

Call 1

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

4.0ms	(/.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	(*.f64 (PI.f64) t)
4.0ms	v
4.0ms	t
3.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
98.8%	1	`v`
98.8%	1	`t`
98.8%	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))))`
98.8%	1	`(*.f64 v v)`
98.8%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes30.0ms (0.3%)

Memory

-16.5MiB live, 22.8MiB allocated

Counts

7 → 1

Calls

Call 1

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

18.0ms	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
2.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
98.7%	1	`t`
98.7%	1	`(*.f64 (PI.f64) t)`
98.7%	1	`v`
98.7%	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))))`
98.7%	1	`(*.f64 v v)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes10.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (/ (+ (* v (* v -5)) 1) (* (PI) t)) (* (sqrt (+ (* -6 (* v v)) 2)) (- 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 #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
1.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
98.6%	1	`v`
98.6%	1	`t`
98.6%	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))))`
98.6%	1	`(*.f64 v v)`
98.6%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes40.0ms (0.4%)

Memory

-21.3MiB live, 17.6MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (/ (+ (* v (* v -5)) 1) (* (PI) t)) (* (sqrt (+ (* -6 (* v v)) 2)) (- 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 #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:

33.0ms	(*.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	(*.f64 (PI.f64) t)
2.0ms	t
2.0ms	v

Results

Accuracy	Segments	Branch
98.6%	1	`v`
98.6%	1	`t`
98.6%	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))))`
98.6%	1	`(*.f64 v v)`
98.6%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes7.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB 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)) (- 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)) (- 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	(*.f64 (PI.f64) t)
1.0ms	v
1.0ms	t
1.0ms	(*.f64 v v)

Results

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

Compiler

Compiled 46 to 30 computations (34.8% saved)

simplify10.0ms (0.1%)

Memory

-13.3MiB live, 24.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	314
1	102	314
2	109	314
3	113	314
4	115	314

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.1s (10.2%)

Memory

37.0MiB live, 1 024.3MiB allocated

Rules

23 106×	`lower-fma.f64`
23 106×	`lower-fma.f32`
7 638×	`lower-fma.f64`
7 638×	`lower-fma.f32`
6 648×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	294
0	94	288
1	329	280
2	2162	280
0	8476	278
0	494	9261
1	1547	8581
2	6459	8581
0	8054	8196
0	19	73
0	32	73
1	128	73
2	923	67
0	8720	61
0	195	2113
1	576	2013
2	2413	1898
0	8035	1805
0	53	285
0	87	279
1	308	277
2	2341	277
0	8778	273
0	62	286
0	95	284
1	347	276
2	2413	276
0	8689	271

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

Compiler

Compiled 566 to 298 computations (47.3% saved)

preprocess179.0ms (1.7%)

Memory

4.2MiB live, 162.7MiB allocated

Remove

(negabs t)

(abs v)

Compiler

Compiled 776 to 404 computations (47.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze53.0ms (0.5%)

sample1.5s (14.7%)

explain282.0ms (2.7%)

preprocess326.0ms (3.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify303.0ms (2.9%)

localize99.0ms (0.9%)

series27.0ms (0.3%)

simplify571.0ms (5.5%)

rewrite456.0ms (4.4%)

eval83.0ms (0.8%)

prune90.0ms (0.9%)

simplify182.0ms (1.7%)

localize145.0ms (1.4%)

series48.0ms (0.5%)

simplify286.0ms (2.7%)

rewrite689.0ms (6.6%)

eval339.0ms (3.2%)

prune291.0ms (2.8%)

simplify207.0ms (2%)

localize146.0ms (1.4%)

series41.0ms (0.4%)

simplify327.0ms (3.1%)

rewrite302.0ms (2.9%)

eval195.0ms (1.9%)

prune203.0ms (1.9%)

simplify184.0ms (1.8%)

localize158.0ms (1.5%)

series25.0ms (0.2%)

simplify345.0ms (3.3%)

rewrite322.0ms (3.1%)

eval209.0ms (2%)

prune212.0ms (2%)

regimes137.0ms (1.3%)

regimes107.0ms (1%)

regimes40.0ms (0.4%)

regimes37.0ms (0.4%)

regimes92.0ms (0.9%)

regimes19.0ms (0.2%)

regimes30.0ms (0.3%)

regimes10.0ms (0.1%)

regimes40.0ms (0.4%)

regimes7.0ms (0.1%)

simplify10.0ms (0.1%)

soundness1.1s (10.2%)

preprocess179.0ms (1.7%)

end0.0ms (0%)

Profiling