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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze45.0ms (0.4%)

Memory

5.3MiB live, 123.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 30 to 21 computations (30% saved)

sample1.6s (15%)

Memory

12.0MiB live, 1 973.7MiB allocated

Samples

1.2s	8 256×	0	valid
1.0ms	11×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 789.0ms

ival-mult: 452.0ms (57.3% of total)

ival-sub: 130.0ms (16.5% of total)

ival-div: 68.0ms (8.6% of total)

ival-sqrt: 63.0ms (8% of total)

ival-pi: 52.0ms (6.6% of total)

exact: 16.0ms (2% of total)

ival-true: 5.0ms (0.6% of total)

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

Bogosity

explain255.0ms (2.4%)

Memory

1.5MiB live, 315.8MiB 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

80.0ms

512×

valid

Compiler

Compiled 280 to 61 computations (78.2% saved)

Precisions

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

ival-mult: 43.0ms (71.9% of total)

ival-sub: 7.0ms (11.7% of total)

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

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

ival-pi: 2.0ms (3.3% of total)

exact: 1.0ms (1.7% of total)

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

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

preprocess195.0ms (1.8%)

Memory

-5.3MiB live, 150.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2 549×	`lower-*.f32`
2 542×	`lower-*.f64`
2 424×	`lower-fma.f64`
2 424×	`lower-fma.f32`
1 742×	`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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (neg.f64 t) (*.f64 v v) t) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))

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
▶	99.3%	(/.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

▶

99.3%

(/.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)

simplify167.0ms (1.6%)

Memory

15.8MiB live, 128.2MiB 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

2 549×	`lower-*.f32`
2 542×	`lower-*.f64`
2 424×	`lower-fma.f64`
2 424×	`lower-fma.f32`
1 742×	`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 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (neg.f64 t) (.f64 v v) t) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 #s(literal 5 binary64) (.f64 v v))
(.f64 (.f64 v #s(literal 5 binary64)) 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 (fma.f64 (neg.f64 t) (.f64 v v) t) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
(.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 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64)))
(*.f64 (PI.f64) t)
(*.f64 t (PI.f64))
(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 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v))))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
(fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))
(.f64 #s(literal 3 binary64) (.f64 v v))
(.f64 (.f64 #s(literal 3 binary64) v) v)
#s(literal 3 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(fma.f64 (neg.f64 v) v #s(literal 1 binary64))

localize76.0ms (0.7%)

Memory

-21.0MiB live, 64.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.17578125	(.f64 #s(literal 3 binary64) (.f64 v v))
accuracy	0.23828125	(*.f64 (PI.f64) t)
accuracy	0.3125	(/.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	0.4287300293053261	(.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

59.0ms

256×

valid

Compiler

Compiled 125 to 21 computations (83.2% saved)

Precisions

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

ival-mult: 20.0ms (40.9% of total)

ival-sub: 14.0ms (28.7% of total)

ival-sqrt: 11.0ms (22.5% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.2%)

Memory

21.9MiB live, 21.9MiB 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>) () ())) ())
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#s(alt (* t (PI)) (taylor -inf t) (#s(alt (.f64 (PI.f64) t) (patch (.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (.f64 (PI.f64) t) (patch (.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* t (PI)) (taylor -inf t) (#s(alt (.f64 (PI.f64) t) (patch (.f64 (PI.f64) t) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor 0 v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor 0 v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor 0 v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor 0 v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())

Calls

27 calls:

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

simplify739.0ms (6.9%)

Memory

22.4MiB live, 360.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 553×	`lower-fma.f64`
11 553×	`lower-fma.f32`
2 947×	`lower-*.f64`
2 947×	`lower-*.f32`
1 780×	`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 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
(+ 2 (* -6 (pow v 2)))
(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
(+ 2 (* -6 (pow v 2)))
(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
(* -6 (pow v 2))
(.f64 (.f64 #s(literal -6 binary64) v) v)
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 v (.f64 v (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 v (.f64 v (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 v (.f64 v (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64))))
(* -6 (pow v 2))
(.f64 (.f64 #s(literal -6 binary64) v) v)
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 v (.f64 v (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 v (.f64 v (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 v (.f64 v (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
(* -5 (pow v 2))
(.f64 #s(literal -5 binary64) (.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
(* -5 (pow v 2))
(.f64 #s(literal -5 binary64) (.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -3 (pow v 2)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(* -3 (pow v 2))
(.f64 #s(literal -3 binary64) (.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(* -3 (pow v 2))
(.f64 #s(literal -3 binary64) (.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64)))
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (.f64 #s(literal -5/2 binary64) v) (/.f64 v (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))))
(+ (* (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 (fma.f64 (.f64 #s(literal -53/8 binary64) v) (/.f64 v (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))) (/.f64 #s(literal -5/2 binary64) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64)))) (.f64 v v) (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))))
(+ (* (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 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))) (fma.f64 #s(literal -241/16 binary64) (.f64 v v) #s(literal -53/8 binary64))) (.f64 v v) (/.f64 #s(literal -5/2 binary64) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64)))) (.f64 v v) (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))))
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
(.f64 (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal 5 binary64) (.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64)) v)))
(/ (- (+ (* 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 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (+.f64 (/.f64 #s(literal 5 binary64) t) (/.f64 #s(literal 4 binary64) (.f64 (.f64 t v) v))) (/.f64 #s(literal -5/18 binary64) (.f64 (.f64 (.f64 (.f64 t v) v) (PI.f64)) (.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) 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 (fma.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (.f64 t (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v)))))) v)
(* 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 #s(literal 1/24 binary64) (/.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (fma.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64)) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))) (.f64 t (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v))))))) v)
(* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))))
(.f64 (neg.f64 (.f64 (.f64 t v) (PI.f64))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (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 (neg.f64 v) (.f64 t (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v 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 (neg.f64 v) (fma.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (.f64 t (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v 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 (neg.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (fma.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64)) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))) (.f64 t (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 v v)))))))) v)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* t (PI))
(*.f64 (PI.f64) t)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)

rewrite374.0ms (3.5%)

Memory

-21.8MiB live, 354.1MiB allocated

Rules

3 324×	`lower-fma.f64`
3 324×	`lower-fma.f32`
3 128×	`lower-*.f32`
3 121×	`lower-*.f64`
1 876×	`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 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v #s(literal 3 binary64)) v #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v #s(literal 3 binary64)) v #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) #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 8 binary64) (pow.f64 (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) #s(literal 2 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 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v)) #s(literal 2 binary64))) (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (*.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v)))) (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 v)) (.f64 (.f64 (.f64 v v) v) v))))) (neg.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (*.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v)) #s(literal 2 binary64)) (fma.f64 (.f64 v #s(literal 3 binary64)) v #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v))) #s(literal 2 binary64)) (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (*.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v))) (fma.f64 (.f64 v #s(literal 3 binary64)) v #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v)))) (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (*.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v #s(literal 3 binary64)) v #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (*.f64 v v) v) v))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v #s(literal 3 binary64)) v #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (.f64 v v) #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 v)) (.f64 (.f64 (*.f64 v v) v) v))))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -3 binary64) v)) v #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 v #s(literal 3 binary64))) (neg.f64 v) #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 (neg.f64 v) v)) #s(literal 3 binary64) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 v v)) #s(literal -3 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 #s(literal 6 binary64) (*.f64 (neg.f64 v) v) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal -3 binary64) (.f64 v v)) #s(literal 2 binary64))
(+.f64 (.f64 (.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 25 binary64) (.f64 (.f64 v v) v)) v)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal -1 binary64))))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 125 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 25 binary64) (.f64 (.f64 v v) v)) v)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 125 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal -1 binary64)))) (.f64 (/.f64 (.f64 (.f64 #s(literal 25 binary64) (.f64 (.f64 v v) v)) v) (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64))) (/.f64 (.f64 (.f64 #s(literal 25 binary64) (.f64 (.f64 v v) v)) v) (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal -1 binary64))) (/.f64 (.f64 (.f64 #s(literal 25 binary64) (.f64 (.f64 v v) v)) v) (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 (.f64 #s(literal 125 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v)) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 #s(literal 125 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v)) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 #s(literal 125 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v)) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))))
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(*.f64 t (PI.f64))
(*.f64 (PI.f64) t)
(.f64 #s(literal 1 binary64) (.f64 t (PI.f64)))
(.f64 (.f64 v #s(literal 3 binary64)) v)
(.f64 (.f64 (*.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 (.f64 v v) #s(literal 3 binary64))
(.f64 v (.f64 v #s(literal 3 binary64)))
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eval257.0ms (2.4%)

Memory: 9.6MiB live, 168.6MiB allocated
Compiler: Compiled 26 681 to 2 085 computations (92.2% saved)

prune252.0ms (2.3%)

Memory

-38.1MiB live, 162.5MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	588	15	603
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	589	15	604

Accuracy

100.0%

Counts

604 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (.f64 (.f64 (.f64 (neg.f64 t) (PI.f64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
▶	99.4%	(/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) t))
	99.3%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 t (PI.f64)))) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))
	99.4%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 t (PI.f64))) (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
	55.6%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 t (PI.f64)))) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 t (PI.f64))) (/.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))))) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 t (PI.f64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64)))))
	99.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) t) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
	99.3%	(/.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))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
	98.0%	(/.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))))
	98.0%	(/.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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶	99.6%	(/.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
▶	99.4%	(.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) t)))
	99.0%	(.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 t (PI.f64))) (/.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 t (PI.f64))) (/.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)))) #s(literal -1/2 binary64)))
	99.4%	(.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)))
▶	99.5%	(.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
▶	98.0%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))))

Compiler

Compiled 912 to 538 computations (41% saved)

simplify151.0ms (1.4%)

Memory

17.1MiB live, 129.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -5 binary64) v)
cost-diff	0	(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) t)
cost-diff	704	(.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
cost-diff	0	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) t))
cost-diff	0	(*.f64 #s(literal 5 binary64) v)
cost-diff	0	(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64))
cost-diff	320	(.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) t)))
cost-diff	0	(.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) t)
cost-diff	0	(*.f64 #s(literal -5 binary64) v)
cost-diff	0	(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) t))
cost-diff	0	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64)))
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 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))))
cost-diff	0	(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (PI.f64))
cost-diff	320	(.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64))
cost-diff	384	(/.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))

Rules

2 585×	`lower-*.f32`
2 571×	`lower-*.f64`
1 602×	`lower-fma.f32`
1 598×	`lower-fma.f64`
1 066×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	504
0	87	495
1	197	495
2	556	492
3	2717	492
4	4979	492
0	8131	492

Stop Event

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

Calls

Call 1

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

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

localize454.0ms (4.2%)

Memory

-11.2MiB live, 258.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
accuracy	0.01171875	(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) t)
accuracy	0.32421875	(.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
accuracy	0.00390625	(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
accuracy	0.0078125	(.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) t)))
accuracy	0.20703125	(.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) t)
accuracy	0.31640625	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) t))
accuracy	0.00390625	(.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
accuracy	0.00390625	(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
accuracy	0.20703125	(.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) t)
accuracy	0.3125	(/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) t))
accuracy	0.3046875	(/.f64 #s(literal 1 binary64) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64)))
accuracy	0.3125	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
accuracy	0.42578125	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.891992159181779	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))))
accuracy	0.00390625	(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
accuracy	0.0078125	(*.f64 t (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))
accuracy	0.41310502930532605	(/.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (.f64 (.f64 t (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
accuracy	0.4296875	(.f64 (.f64 t (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))

Samples

150.0ms

256×

valid

Compiler

Compiled 548 to 56 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-mult: 95.0ms (77.8% of total)

ival-div: 11.0ms (9% of total)

ival-add: 5.0ms (4.1% of total)

ival-sqrt: 5.0ms (4.1% of total)

ival-sub: 3.0ms (2.5% of total)

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

exact: 1.0ms (0.8% of total)

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

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

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

series140.0ms (1.3%)

Memory

-1.6MiB live, 75.0MiB allocated

Counts

22 → 384

Calls

Call 1

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

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

Calls

96 calls:

Time	Variable		Point	Expression
51.0ms	v	@	inf	(/ (* (/ (+ (* (* -5 v) v) 1) (PI)) 1) (* (* t (+ (* (neg v) v) 1)) (sqrt (+ (* -6 (* v v)) 2))))
7.0ms	v	@	inf	(/ (+ (* (* -5 v) v) 1) t)
3.0ms	t	@	0	(/ (* (/ (+ (* (* -5 v) v) 1) (PI)) 1) (* (* t (+ (* (neg v) v) 1)) (sqrt (+ (* -6 (* v v)) 2))))
2.0ms	v	@	inf	(* (+ (* (* 5 v) v) -1) (/ -1 (* (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) t)))
2.0ms	v	@	0	(/ (* (/ (+ (* (* -5 v) v) 1) (PI)) 1) (* (* t (+ (* (neg v) v) 1)) (sqrt (+ (* -6 (* v v)) 2))))

simplify555.0ms (5.2%)

Memory

25.0MiB live, 331.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 284×	`lower-fma.f64`
6 284×	`lower-fma.f32`
3 434×	`lower-*.f64`
3 434×	`lower-*.f32`
2 709×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	713	10798
1	2334	9686
0	8584	9330

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 383

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

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

rewrite518.0ms (4.8%)

Memory

-2.9MiB live, 284.6MiB allocated

Rules

2 065×	`lower-/.f32`
2 058×	`lower-/.f64`
2 022×	`lower-*.f32`
2 008×	`lower-*.f64`
1 869×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	298
0	87	291
1	359	289
2	2813	287
0	8730	275

Stop Event

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

Counts

22 → 1 314

Calls

Call 1

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

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

eval353.0ms (3.3%)

Memory: 11.3MiB live, 502.5MiB allocated
Compiler: Compiled 74 430 to 4 063 computations (94.5% saved)

prune273.0ms (2.5%)

Memory

-14.6MiB live, 553.4MiB allocated

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	2 101	13	2 114
Fresh	5	5	10
Picked	3	2	5
Done	0	0	0
Total	2 109	20	2 129

Accuracy

100.0%

Counts

2 129 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (PI.f64)) t)))
	98.1%	(/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) #s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64)))) t))
	98.1%	(/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 #s(approx (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t))
	99.3%	(/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #s(approx ( (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) t) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (.f64 (PI.f64) t)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))))
	99.3%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 t (PI.f64)))) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))
▶	99.4%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 t (PI.f64))) (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
	99.3%	(/.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))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
	98.0%	(/.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))))
	98.0%	(/.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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓	99.4%	(.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) t)))
▶	98.1%	(.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) #s(approx (sqrt (+ ( -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64)))) t)))
	97.6%	(.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) #s(approx (/ -1 (* (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) t)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (PI.f64) t))))
▶	97.7%	(.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (+ (* (neg v) v) 1)) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
	98.0%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (PI.f64)))
▶	98.2%	#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 (sqrt.f64 #s(literal 2 binary64)) t)))
	98.1%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
	98.1%	#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)))
✓	98.0%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))))
	97.9%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
▶	97.6%	#s(approx (/ (+ (* (* -5 v) v) 1) (* (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) t)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))

Compiler

Compiled 711 to 507 computations (28.7% saved)

simplify118.0ms (1.1%)

Memory

5.0MiB live, 194.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

2 426×	`lower-*.f32`
2 414×	`lower-*.f64`
1 630×	`lower-/.f32`
1 622×	`lower-/.f64`
1 172×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	405
0	106	404
1	206	404
2	524	399
3	2338	399
4	6408	399
0	8365	399

Stop Event

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

Calls

Call 1

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

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

localize158.0ms (1.5%)

Memory

34.1MiB live, 346.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) #s(approx (sqrt (+ ( -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64)))) t)))
accuracy	0.20703125	(.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) #s(approx (sqrt (+ ( -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64)))) t)
accuracy	0.31640625	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) #s(approx (sqrt (+ ( -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64)))) t))
accuracy	0.8661075766895581	#s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.01171875	(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) t)
accuracy	0.32421875	(.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (+ (* (neg v) v) 1)) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
accuracy	0.8943937869023527	#s(approx (/ 1 (* (* (PI) (+ (* (neg v) v) 1)) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
accuracy	1.0	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
accuracy	0	(PI.f64)
accuracy	0.42091752930532605	(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
accuracy	0.42578125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	0.891992159181779	#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 (sqrt.f64 #s(literal 2 binary64)) t)))
accuracy	0	(PI.f64)
accuracy	0.23828125	(*.f64 (PI.f64) t)
accuracy	0.4850387695368841	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
accuracy	0.891992159181779	#s(approx (/ (+ (* (* -5 v) v) 1) (* (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) t)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
accuracy	0.0078125	(.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
accuracy	0.23828125	(*.f64 t (PI.f64))
accuracy	0.27734375	(/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 t (PI.f64)))
accuracy	0.45054628907376804	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 t (PI.f64))) (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))

Samples

95.0ms

256×

valid

Compiler

Compiled 399 to 59 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 33.0ms (46.6% of total)

ival-div: 17.0ms (24% of total)

ival-add: 8.0ms (11.3% of total)

ival-sqrt: 6.0ms (8.5% of total)

ival-sub: 3.0ms (4.2% of total)

ival-pi: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

series45.0ms (0.4%)

Memory

-45.3MiB live, 57.6MiB allocated

Counts

25 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
3.0ms	t	@	0	(/ (+ (* (* -5 v) v) 1) (* t (PI)))
1.0ms	t	@	inf	(/ (sqrt 1/2) (* (PI) t))
0.0ms	v	@	inf	(* (+ (* (neg v) v) 1) (sqrt (+ (* -6 (* v v)) 2)))
0.0ms	t	@	0	(/ (sqrt 1/2) (* (PI) t))
0.0ms	v	@	0	(/ (+ (* (* -5 v) v) 1) (* t (PI)))

simplify250.0ms (2.3%)

Memory

7.9MiB live, 352.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 733×	`lower-fma.f64`
4 733×	`lower-fma.f32`
2 862×	`lower-*.f64`
2 862×	`lower-*.f32`
2 185×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	641	9977
1	2052	8875
0	8217	8557

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

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

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

rewrite280.0ms (2.6%)

Memory

26.3MiB live, 464.1MiB allocated

Rules

2 147×	`lower-/.f32`
2 139×	`lower-/.f64`
2 015×	`lower-*.f32`
2 003×	`lower-*.f64`
1 831×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	309
0	106	308
1	387	307
2	2808	303
0	8841	293

Stop Event

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

Counts

25 → 821

Calls

Call 1

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

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

eval222.0ms (2.1%)

Memory: 23.3MiB live, 396.5MiB allocated
Compiler: Compiled 42 785 to 3 693 computations (91.4% saved)

prune243.0ms (2.3%)

Memory

-8.9MiB live, 484.8MiB allocated

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	1 477	6	1 483
Fresh	3	10	13
Picked	2	3	5
Done	0	2	2
Total	1 482	21	1 503

Accuracy

100.0%

Counts

1 503 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (PI.f64)) t)))
	98.1%	(/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) #s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64)))) t))
	98.1%	(/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 #s(approx (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t))
	99.3%	(/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #s(approx ( (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) t) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (.f64 (PI.f64) t)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))))
	99.3%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 t (PI.f64)))) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))
✓	99.4%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 t (PI.f64))) (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
▶	99.3%	(/.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))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
	98.0%	(/.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))))
	98.0%	(/.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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓	99.4%	(.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) t)))
✓	98.1%	(.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) #s(approx (sqrt (+ ( -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64)))) t)))
	97.6%	(.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) #s(approx (/ -1 (* (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) t)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (neg.f64 t) (PI.f64)))))
▶	97.7%	(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (+ (* (neg v) v) 1)) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
	98.4%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t))
▶	98.0%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (PI.f64)))
✓	98.0%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))))
	97.9%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
	97.5%	#s(approx (/ (+ (* (* -5 v) v) 1) (* (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) t)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t))
	97.6%	#s(approx (/ (+ (* (* -5 v) v) 1) (* (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) t)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
✓	97.6%	#s(approx (/ (+ (* (* -5 v) v) 1) (* (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) t)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
▶	97.5%	#s(approx (/ (+ (* (* -5 v) v) 1) (* (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) t)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))

Compiler

Compiled 666 to 475 computations (28.7% saved)

simplify154.0ms (1.4%)

Memory

-14.8MiB live, 96.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

2 700×	`lower-*.f32`
2 686×	`lower-*.f64`
1 525×	`lower-/.f32`
1 518×	`lower-/.f64`
1 430×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	398
0	117	392
1	238	388
2	576	385
3	2620	385
4	6384	385
0	8351	385

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

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

localize382.0ms (3.6%)

Memory

0.6MiB live, 165.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
accuracy	0.01953125	(.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (PI.f64)) t))
accuracy	0.19921875	(.f64 (.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (PI.f64)) t)
accuracy	0.3046875	(/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (PI.f64)) t)))
accuracy	0.01171875	(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t)
accuracy	0.32421875	(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (+ (* (neg v) v) 1)) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
accuracy	0.8943937869023527	#s(approx (/ 1 (* (* (PI) (+ (* (neg v) v) 1)) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
accuracy	1.0	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
accuracy	0.2578125	(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
accuracy	0.296875	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (PI.f64))
accuracy	0.42578125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	0.891992159181779	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (PI.f64)))
accuracy	0.23828125	(*.f64 (PI.f64) t)
accuracy	0.29296875	(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
accuracy	0.4661712890737681	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	0.891992159181779	#s(approx (/ (+ (* (* -5 v) v) 1) (* (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) t)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))
accuracy	0.16701127930532603	(.f64 #s(literal 5 binary64) (.f64 v v))
accuracy	0.3125	(/.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))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
accuracy	0.31640625	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64))
accuracy	0.421875	(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) t)

Samples

123.0ms

256×

valid

Compiler

Compiled 396 to 65 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 38.0ms (51.2% of total)

ival-div: 14.0ms (18.8% of total)

ival-sqrt: 9.0ms (12.1% of total)

ival-add: 7.0ms (9.4% of total)

ival-sub: 4.0ms (5.4% of total)

ival-pi: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series59.0ms (0.6%)

Memory

10.1MiB live, 46.1MiB allocated

Counts

25 → 408

Calls

Call 1

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

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

Calls

102 calls:

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

simplify223.0ms (2.1%)

Memory

0.1MiB live, 353.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 456×	`lower-fma.f64`
4 456×	`lower-fma.f32`
2 630×	`lower-*.f64`
2 630×	`lower-*.f32`
1 927×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	590	9910
1	1892	9015
2	7851	9015
0	8008	8584

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

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

rewrite256.0ms (2.4%)

Memory

-0.4MiB live, 370.8MiB allocated

Rules

1 914×	`lower-/.f32`
1 910×	`lower-*.f32`
1 908×	`lower-/.f64`
1 896×	`lower-*.f64`
1 600×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	304
0	117	299
1	431	292
2	2738	284
0	8639	283

Stop Event

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

Counts

25 → 1 022

Calls

Call 1

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

Outputs
(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64))))
(.f64 (fma.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 v v) #s(literal 5 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 25 binary64) (.f64 (.f64 (*.f64 v v) v) v)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal -1 binary64)) (fma.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) #s(literal 5 binary64)) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (.f64 (*.f64 v v) v) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (.f64 #s(literal -5 binary64) (.f64 v v))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (neg.f64 (.f64 #s(literal -5 binary64) (.f64 v v))) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 #s(literal -5 binary64) (.f64 v v))) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 #s(literal -5 binary64) (.f64 v v))) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (.f64 #s(literal -5 binary64) (.f64 v v))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 (.f64 #s(literal -5 binary64) (.f64 v v))) (neg.f64 (.f64 #s(literal -5 binary64) (.f64 v v)))) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 #s(literal -5 binary64) (.f64 v v)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v))))) (neg.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 v v) #s(literal 5 binary64)) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v)))) (.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v)) (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 v v) #s(literal 5 binary64)) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (.f64 v v) #s(literal 5 binary64)) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v)))) (.f64 (fma.f64 (.f64 (.f64 v v) #s(literal 5 binary64)) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) #s(literal 5 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v)))) (neg.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v)) (.f64 #s(literal -5 binary64) (*.f64 v v))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v)) (.f64 (*.f64 v v) #s(literal 5 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 v v) #s(literal 5 binary64)) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v)) (.f64 (*.f64 v v) #s(literal 5 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v)) (.f64 #s(literal -5 binary64) (*.f64 v v)))))
(/.f64 (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) #s(literal 5 binary64)) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1 binary64)) (fma.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 25 binary64) (.f64 (.f64 (*.f64 v v) v) v))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal -1 binary64)) (fma.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) #s(literal 5 binary64)) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (.f64 (*.f64 v v) v) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 25 binary64) (.f64 (.f64 (*.f64 v v) v) v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal -1 binary64)) (fma.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 v v) #s(literal 5 binary64)) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (.f64 (*.f64 v v) 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 (neg.f64 (*.f64 v #s(literal 5 binary64))) v #s(literal 1 binary64))
(fma.f64 (*.f64 v #s(literal 5 binary64)) (neg.f64 v) #s(literal 1 binary64))
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eval207.0ms (1.9%)

Memory: 4.3MiB live, 380.9MiB allocated
Compiler: Compiled 50 146 to 3 050 computations (93.9% saved)

prune202.0ms (1.9%)

Memory

2.1MiB live, 375.0MiB allocated

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	1 498	4	1 502
Fresh	1	10	11
Picked	2	3	5
Done	0	5	5
Total	1 501	22	1 523

Accuracy

100.0%

Counts

1 523 → 22

Alt Table

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Status	Accuracy	Program
	98.1%	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (PI.f64)) t)))
	99.3%	(/.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))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))))
	98.1%	(/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) #s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64)))) t))
	98.1%	(/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 #s(approx (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t))
	99.3%	(/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #s(approx ( (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) t) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))) (.f64 (PI.f64) t)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))))
	99.3%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 t (PI.f64)))) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))
✓	99.4%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (.f64 t (PI.f64))) (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
	98.0%	(/.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))))
	98.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 #s(approx (* (sqrt (+ (* -6 (* v v)) 2)) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))))
✓	99.4%	(.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) t)))
✓	98.1%	(.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (PI.f64)) #s(approx (sqrt (+ ( -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64)))) t)))
	97.6%	(.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) #s(approx (/ -1 (* (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) t)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (neg.f64 t) (PI.f64)))))
✓	97.7%	(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (+ (* (neg v) v) 1)) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
	97.7%	(.f64 (.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(approx (/ 1 ( (* (PI) (+ (* (neg v) v) 1)) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 #s(literal 1 binary64) t))
	98.4%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t))
✓	98.0%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (PI.f64)))
✓	98.0%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))))
	97.9%	#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
	97.5%	#s(approx (/ (+ (* (* -5 v) v) 1) (* (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) t)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t))
	97.6%	#s(approx (/ (+ (* (* -5 v) v) 1) (* (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) t)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)))
✓	97.6%	#s(approx (/ (+ (* (* -5 v) v) 1) (* (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) t)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)))
✓	97.5%	#s(approx (/ (+ (* (* -5 v) v) 1) (* (* (* (+ (* (neg v) v) 1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) t)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))))

Compiler

Compiled 1 185 to 433 computations (63.5% saved)

regimes55.0ms (0.5%)

Memory

21.7MiB live, 100.2MiB allocated

Counts

39 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes51.0ms (0.5%)

Memory

-1.2MiB live, 75.0MiB allocated

Counts

35 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

12.0ms	(*.f64 (PI.f64) t)
11.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
10.0ms	t
9.0ms	v
8.0ms	(*.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)

regimes103.0ms (1%)

Memory

-9.8MiB live, 68.8MiB allocated

Counts

33 → 1

Calls

Call 1

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

Calls

5 calls:

64.0ms	t
12.0ms	(*.f64 (PI.f64) t)
9.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
9.0ms	v
8.0ms	(*.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)

regimes79.0ms (0.7%)

Memory

6.0MiB live, 44.4MiB allocated

Counts

25 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

50.0ms	(/.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	t
7.0ms	(*.f64 (PI.f64) t)
7.0ms	v
6.0ms	(*.f64 v v)

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)

regimes41.0ms (0.4%)

Memory

-25.7MiB live, 59.3MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	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	(*.f64 v v)
7.0ms	t

Results

Accuracy	Segments	Branch
98.4%	1	`v`
98.4%	1	`t`
98.4%	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))))`
98.4%	1	`(*.f64 v v)`
98.4%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes19.0ms (0.2%)

Memory

33.3MiB live, 33.3MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

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	t
4.0ms	v
3.0ms	(*.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)

regimes17.0ms (0.2%)

Memory

-5.7MiB live, 32.5MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(*.f64 (PI.f64) t)
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	t
3.0ms	v
3.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
98.1%	1	`v`
98.1%	1	`t`
98.1%	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))))`
98.1%	1	`(*.f64 v v)`
98.1%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes79.0ms (0.7%)

Memory

-18.0MiB live, 20.6MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

67.0ms	(/.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	t
3.0ms	(*.f64 (PI.f64) t)
3.0ms	v
2.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
98.1%	1	`v`
98.1%	1	`t`
98.1%	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))))`
98.1%	1	`(*.f64 v v)`
98.1%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes11.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`v`
98.0%	1	`(*.f64 v v)`
98.0%	1	`t`
98.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
98.0%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes12.0ms (0.1%)

Memory

-23.8MiB live, 15.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

5 calls:

5.0ms	v
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
2.0ms	(*.f64 (PI.f64) t)
2.0ms	t
1.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
97.9%	1	`v`
97.9%	1	`(*.f64 v v)`
97.9%	1	`t`
97.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
97.9%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes8.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Accuracy

Total -0.1b remaining (-8.5%)

Threshold costs -0.1b (-8.5%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

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))))
1.0ms	v
1.0ms	(*.f64 (PI.f64) t)
1.0ms	t
1.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
97.6%	1	`v`
97.6%	1	`t`
97.6%	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))))`
97.6%	1	`(*.f64 v v)`
97.6%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

simplify8.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	374
1	115	374
2	117	374
3	118	374

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness901.0ms (8.4%)

Memory

8.6MiB live, 668.0MiB allocated

Rules

11 553×	`lower-fma.f64`
11 553×	`lower-fma.f32`
6 284×	`lower-fma.f64`
6 284×	`lower-fma.f32`
3 434×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	298
0	87	291
1	359	289
2	2813	287
0	8730	275
0	195	2113
1	576	2013
2	2413	1898
0	8035	1805
0	72	309
0	106	308
1	387	307
2	2808	303
0	8841	293
0	713	10798
1	2334	9686
0	8584	9330
0	19	73
0	32	73
1	128	73
2	923	67
0	8720	61

Stop Event

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

Compiler

Compiled 298 to 167 computations (44% saved)

preprocess108.0ms (1%)

Memory

14.8MiB live, 253.8MiB allocated

Remove

(negabs t)

(abs v)

Compiler

Compiled 1 216 to 714 computations (41.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze45.0ms (0.4%)

sample1.6s (15%)

explain255.0ms (2.4%)

preprocess195.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify167.0ms (1.6%)

localize76.0ms (0.7%)

series21.0ms (0.2%)

simplify739.0ms (6.9%)

rewrite374.0ms (3.5%)

eval257.0ms (2.4%)

prune252.0ms (2.3%)

simplify151.0ms (1.4%)

localize454.0ms (4.2%)

series140.0ms (1.3%)

simplify555.0ms (5.2%)

rewrite518.0ms (4.8%)

eval353.0ms (3.3%)

prune273.0ms (2.5%)

simplify118.0ms (1.1%)

localize158.0ms (1.5%)

series45.0ms (0.4%)

simplify250.0ms (2.3%)

rewrite280.0ms (2.6%)

eval222.0ms (2.1%)

prune243.0ms (2.3%)

simplify154.0ms (1.4%)

localize382.0ms (3.6%)

series59.0ms (0.6%)

simplify223.0ms (2.1%)

rewrite256.0ms (2.4%)

eval207.0ms (1.9%)

prune202.0ms (1.9%)

regimes55.0ms (0.5%)

regimes51.0ms (0.5%)

regimes103.0ms (1%)

regimes79.0ms (0.7%)

regimes41.0ms (0.4%)

regimes19.0ms (0.2%)

regimes17.0ms (0.2%)

regimes79.0ms (0.7%)

regimes11.0ms (0.1%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

simplify8.0ms (0.1%)

soundness901.0ms (8.4%)

preprocess108.0ms (1%)

end0.0ms (0%)

Profiling