Metrics for Falkner and Boettcher, Appendix B, 1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze440.0ms (2.6%)

Memory

11.4MiB live, 513.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
0%	0%	100%	0%	0%	0%	0%	4
0%	0%	100%	0%	0%	0%	0%	5
0%	0%	100%	0%	0%	0%	0%	6
0%	0%	100%	0%	0%	0%	0%	7
0%	0%	100%	0%	0%	0%	0%	8
0%	0%	100%	0%	0%	0%	0%	9
0%	0%	100%	0%	0%	0%	0%	10
0%	0%	100%	0%	0%	0%	0%	11
0%	0%	100%	0%	0%	0%	0%	12

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample4.2s (25%)

Memory

-112.3MiB live, 5 146.8MiB allocated

Samples

1.6s	3 730×	3	valid
737.0ms	8 404×	0	invalid
493.0ms	2 021×	2	valid
416.0ms	2 203×	1	valid
21.0ms	302×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-acos: 956.0ms (36.2% of total)

adjust: 479.0ms (18.1% of total)

ival-sub: 463.0ms (17.5% of total)

ival-mult: 384.0ms (14.5% of total)

ival-div: 329.0ms (12.4% of total)

exact: 15.0ms (0.6% of total)

ival-true: 12.0ms (0.5% of total)

ival-assert: 6.0ms (0.2% of total)

Bogosity

preprocess291.0ms (1.8%)

Memory

-0.6MiB live, 324.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 668×	`lower-fma.f64`
8 668×	`lower-fma.f32`
2 288×	`lower-*.f32`
2 284×	`lower-*.f64`
2 140×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	40	29
2	128	29
3	476	29
4	2060	29
5	4075	29
6	4981	29
7	5309	29
8	6991	29
0	9	14
0	15	14
1	35	14
2	80	14
3	206	14
4	584	14
5	1243	14
6	2501	14
7	3907	14
8	5721	14
9	7419	14
10	7976	14
0	8080	12

Stop Event

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

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Outputs

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

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

Symmetry

(abs v)

explain252.0ms (1.5%)

Memory

10.2MiB live, 364.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
14	242	(1.176337377152033e-137)	1	(0.0011825943189016082)	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
0	1	(9.015640419416315e-163)	0	-	`(.f64 #s(literal 5 binary64) (.f64 v v))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 v v)`
0	0	-	0	-	`#s(literal 5 binary64)`
0	0	-	0	-	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
0	0	-	0	-	`v`
0	0	-	0	-	`(-.f64 (*.f64 v v) #s(literal 1 binary64))`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`acos.f64`	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`	sensitivity	255	1

Confusion

	Predicted +	Predicted -
+	13	1
-	242	0

Precision

0.050980392156862744

Recall

0.9285714285714286

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	1	0
-	242	0	0

Precision?

0.0546875

Recall?

1.0

Freqs

test

number	freq
0	1
1	255

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

65.0ms	210×	3	valid
36.0ms	146×	2	valid
23.0ms	130×	1	valid
2.0ms	26×	0	valid

Compiler

Compiled 134 to 40 computations (70.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-acos: 30.0ms (32.9% of total)

adjust: 22.0ms (24.1% of total)

ival-sub: 15.0ms (16.4% of total)

ival-div: 12.0ms (13.2% of total)

ival-mult: 11.0ms (12.1% of total)

exact: 1.0ms (1.1% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify428.0ms (2.6%)

Memory

16.2MiB live, 256.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
✓	cost-diff	0	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
✓	cost-diff	128	(-.f64 (*.f64 v v) #s(literal 1 binary64))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))

Rules

8 668×	`lower-fma.f64`
8 668×	`lower-fma.f32`
2 288×	`lower-*.f32`
2 284×	`lower-*.f64`
2 140×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	50
0	15	50
1	35	50
2	80	50
3	206	50
4	584	50
5	1243	50
6	2501	50
7	3907	50
8	5721	50
9	7419	50
10	7976	50
0	8080	44

Stop Event

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

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(-.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 v v) #s(literal 1 binary64))

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

localize84.0ms (0.5%)

Memory

-6.6MiB live, 154.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
✓	accuracy	99.8%	(.f64 #s(literal 5 binary64) (.f64 v v))
✓	accuracy	98.9%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Samples

37.0ms	105×	3	valid
20.0ms	73×	2	valid
10.0ms	65×	1	valid
1.0ms	13×	0	valid

Compiler

Compiled 52 to 11 computations (78.8% saved)

Precisions

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

ival-acos: 15.0ms (33.8% of total)

adjust: 10.0ms (22.5% of total)

ival-sub: 7.0ms (15.8% of total)

ival-div: 6.0ms (13.5% of total)

ival-mult: 6.0ms (13.5% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))>
#<alt (-.f64 (*.f64 v v) #s(literal 1 binary64))>
#<alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))>
#<alt (.f64 #s(literal 5 binary64) (.f64 v v))>
#<alt (*.f64 v v)>

Outputs
#<alt 1>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt -1>
#<alt (- (pow v 2) 1)>
#<alt (- (pow v 2) 1)>
#<alt (- (pow v 2) 1)>
#<alt (pow v 2)>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt -1>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)>
#<alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	v	@	inf	(* 5 (* v v))
0.0ms	v	@	inf	(- 1 (* 5 (* v v)))
0.0ms	v	@	0	(- 1 (* 5 (* v v)))
0.0ms	v	@	0	(* 5 (* v v))
0.0ms	v	@	inf	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))

simplify176.0ms (1.1%)

Memory

12.3MiB live, 235.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 768×	`lower-fma.f64`
7 768×	`lower-fma.f32`
4 212×	`lower-*.f64`
4 212×	`lower-*.f32`
1 926×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	516
1	100	510
2	269	506
3	659	506
4	2016	504
5	5113	504
0	8075	457

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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))
-1
(- (pow v 2) 1)
(- (pow v 2) 1)
(- (pow v 2) 1)
(pow v 2)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(pow v 2)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (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)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 #s(literal -5 binary64) (*.f64 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (pow v 2) 1)
(fma.f64 v v #s(literal -1 binary64))
(- (pow v 2) 1)
(fma.f64 v v #s(literal -1 binary64))
(- (pow v 2) 1)
(fma.f64 v v #s(literal -1 binary64))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 v (.f64 #s(literal 4 binary64) (.f64 v (fma.f64 v (fma.f64 v (*.f64 v v) v) #s(literal 1 binary64)))) #s(literal -1 binary64))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 #s(literal -5 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (.f64 v v)) #s(literal -4 binary64)) (.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 v v)) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))) (*.f64 v v))) #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 #s(literal -5 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (.f64 v v)) #s(literal -4 binary64)) (.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 v v)) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))) (*.f64 v v))) #s(literal -5 binary64))
(* 5 (pow v 2))
(.f64 (.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(.f64 (.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(.f64 (.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(.f64 (.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(.f64 (.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(.f64 (.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(.f64 (.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(.f64 (.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(.f64 (.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(.f64 (.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(.f64 (.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(.f64 (.f64 v v) #s(literal 5 binary64))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)

rewrite311.0ms (1.9%)

Memory

17.5MiB live, 413.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 956×	`lower-fma.f64`
4 956×	`lower-fma.f32`
4 584×	`lower-*.f32`
4 580×	`lower-*.f64`
3 506×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	47
0	15	47
1	70	47
2	530	47
3	6828	47
0	8012	41

Stop Event

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

Counts

6 → 607

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
(-.f64 (*.f64 v v) #s(literal 1 binary64))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(.f64 #s(literal 5 binary64) (.f64 v v))
(*.f64 v v)

Outputs
(+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -5 binary64))))
(+.f64 (.f64 v (.f64 v #s(literal -5 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 125 binary64))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) #s(literal 25 binary64))) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 125 binary64))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64))) (/.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) #s(literal 25 binary64))) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -5 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 125 binary64))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) #s(literal 25 binary64))) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)))))
(fma.f64 #s(literal 5 binary64) (neg.f64 (*.f64 v v)) #s(literal 1 binary64))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 v (.f64 v #s(literal -5 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (.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))
(fma.f64 (*.f64 #s(literal 5 binary64) v) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 v v)) #s(literal 5 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))
(fma.f64 (neg.f64 v) (*.f64 #s(literal 5 binary64) v) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) #s(literal 125 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 v v) (-.f64 (.f64 (.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) #s(literal 25 binary64))) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25 binary64) #s(literal 1 binary64))) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) #s(literal 25 binary64))) (fma.f64 #s(literal 5 binary64) (*.f64 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 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) (.f64 (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)))) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) (-.f64 (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 125 binary64))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 125 binary64))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(neg.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -125 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -125 binary64) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -125 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal 15625 binary64))) (.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) #s(literal 125 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal 15625 binary64))) (.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) #s(literal 25 binary64))) (fma.f64 (.f64 v v) (.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) #s(literal 1953125 binary64))) (.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 125 binary64))) (fma.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) #s(literal 125 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v (.f64 v v))))) #s(literal 625 binary64))) (.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 (.f64 v v) (.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)) (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 125 binary64))))) (.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (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 v (.f64 (.f64 v (.f64 v v)) #s(literal 25 binary64))))) (.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 (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -125 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) #s(literal 1953125 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 125 binary64))) (fma.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) #s(literal 125 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal 15625 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) #s(literal 125 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal 15625 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) #s(literal 25 binary64))) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v (.f64 v v))))) #s(literal 625 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -125 binary64) #s(literal 1 binary64)))) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -125 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))))
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(.f64 (/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (fma.f64 (.f64 v v) (*.f64 v v) #s(literal 1 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25 binary64) #s(literal 1 binary64)) (fma.f64 v (.f64 v (.f64 v v)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64))) (+.f64 v #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25 binary64) #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v)))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v (.f64 v (*.f64 v v)) #s(literal -1 binary64)))) (fma.f64 v v #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)) #s(literal -1 binary64)))) (fma.f64 v v (fma.f64 (.f64 v v) (*.f64 v v) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)) #s(literal -1 binary64))) (neg.f64 (fma.f64 v v (fma.f64 (.f64 v v) (.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 (.f64 v (.f64 v v)) #s(literal -1 binary64))) (fma.f64 v (neg.f64 v) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 v v (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 v (.f64 v (.f64 v v)) #s(literal -1 binary64)))) (fma.f64 v (neg.f64 v) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -125 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) (.f64 (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)))) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) (-.f64 (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -125 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)))))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25 binary64) #s(literal 1 binary64))) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (fma.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) #s(literal 125 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 v v) (-.f64 (.f64 (.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (fma.f64 v v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v))
(.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (fma.f64 v (*.f64 v v) #s(literal -1 binary64))) (+.f64 (fma.f64 v v #s(literal 1 binary64)) v))
(-.f64 #s(literal 0 binary64) (.f64 v (.f64 v #s(literal -5 binary64))))
(neg.f64 (.f64 v (.f64 v #s(literal -5 binary64))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (*.f64 v v)))
(.f64 #s(literal 5 binary64) (.f64 v v))
(.f64 #s(literal 5 binary64) (neg.f64 (neg.f64 (.f64 v v))))
(.f64 v (.f64 #s(literal 5 binary64) v))
(.f64 (.f64 v v) #s(literal 5 binary64))
(.f64 (.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 v (*.f64 v #s(literal -5 binary64))))
(.f64 #s(literal -5 binary64) (neg.f64 (.f64 v v)))
(.f64 (.f64 #s(literal 5 binary64) v) v)
(.f64 (.f64 #s(literal 5 binary64) v) (neg.f64 (neg.f64 v)))
(.f64 (neg.f64 (.f64 v v)) #s(literal -5 binary64))
(.f64 (.f64 v #s(literal -5 binary64)) (neg.f64 v))
(.f64 (neg.f64 (neg.f64 (.f64 v v))) #s(literal 5 binary64))
(.f64 (neg.f64 (.f64 v #s(literal -5 binary64))) v)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 v v))
(*.f64 v v)
(.f64 (.f64 v v) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))

eval146.0ms (0.9%)

Memory: -3.9MiB live, 220.9MiB allocated
Compiler: Compiled 21 829 to 2 159 computations (90.1% saved)

prune112.0ms (0.7%)

Memory

-25.2MiB live, 246.0MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	690	9	699
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	691	9	700

Accuracy

98.9%

Counts

700 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	98.8%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
▶	3.3%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.3%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	3.3%	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
▶	98.8%	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	98.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))
	98.7%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
▶	97.4%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 500 to 232 computations (53.6% saved)

simplify176.0ms (1.1%)

Memory

-15.7MiB live, 263.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (PI.f64) (PI.f64))
✓	cost-diff	0	(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
✓	cost-diff	9280	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
✓	cost-diff	0	(*.f64 (PI.f64) (PI.f64))
✓	cost-diff	0	(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
✓	cost-diff	0	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
✓	cost-diff	0	(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	cost-diff	0	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
✓	cost-diff	0	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
✓	cost-diff	0	(.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
✓	cost-diff	0	(fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
✓	cost-diff	0	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
✓	cost-diff	0	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))

Rules

7 122×	`lower-fma.f32`
7 110×	`lower-fma.f64`
2 514×	`lower-*.f32`
2 504×	`lower-*.f64`
2 080×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	489
0	72	471
1	127	465
2	241	461
3	484	461
4	995	461
5	2027	461
6	3410	461
7	5041	461
8	7452	461
0	8095	458

Stop Event

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

Calls

Call 1

Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
v
(.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))
(*.f64 v v)
#s(literal 4 binary64)
#s(literal -1 binary64)
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(PI.f64)
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
#s(literal 5 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 2 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(literal 1/2 binary64)
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(literal 1/2 binary64)
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
v
(.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
(.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))
(*.f64 v v)
#s(literal 4 binary64)
#s(literal -1 binary64)
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(PI.f64)
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
#s(literal 5 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 2 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(literal 1/2 binary64)
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(literal 1/2 binary64)
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))
#s(literal 2 binary64)

localize471.0ms (2.8%)

Memory

35.5MiB live, 510.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
✓	accuracy	98.8%	(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	accuracy	9.1%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	accuracy	6.9%	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
✓	accuracy	99.4%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
✓	accuracy	98.8%	(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	accuracy	9.1%	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
✓	accuracy	9.1%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
✓	accuracy	100.0%	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	accuracy	7.4%	(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	accuracy	98.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
✓	accuracy	98.8%	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
✓	accuracy	100.0%	(.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
✓	accuracy	98.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))

Samples

172.0ms	105×	3	valid
89.0ms	73×	2	valid
59.0ms	74×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 520 to 43 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 255.0ms

ival-mult: 76.0ms (29.8% of total)

adjust: 43.0ms (16.9% of total)

ival-acos: 39.0ms (15.3% of total)

ival-div: 31.0ms (12.2% of total)

ival-asin: 26.0ms (10.2% of total)

ival-sub: 17.0ms (6.7% of total)

ival-add: 12.0ms (4.7% of total)

ival-pow2: 8.0ms (3.1% of total)

ival-pi: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series25.0ms (0.1%)

Memory

-17.6MiB live, 20.0MiB allocated

Counts

19 → 192

Calls

Call 1

Inputs
#<alt (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))>
#<alt #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))>
#<alt (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))>
#<alt (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))>
#<alt (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))>
#<alt #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))>
#<alt (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))>
#<alt (PI.f64)>
#<alt (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))>
#<alt (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))>
#<alt (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))>
#<alt (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))>
#<alt (*.f64 (PI.f64) (PI.f64))>
#<alt (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))>
#<alt (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))>
#<alt (*.f64 v v)>
#<alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))>
#<alt (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))>

Outputs
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt -1>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)>
#<alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt -1>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)>
#<alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)>
#<alt (* 4 (pow v 4))>
#<alt (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))>
#<alt (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))>
#<alt (* 4 (pow v 4))>
#<alt (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))>
#<alt (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))>
#<alt (* 4 v)>
#<alt (* v (+ 4 (* 4 (pow v 2))))>
#<alt (* v (+ 4 (* 4 (pow v 2))))>
#<alt (* v (+ 4 (* 4 (pow v 2))))>
#<alt (* 4 (pow v 3))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* 4 (pow v 3))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt -1>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)>
#<alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt 1>
#<alt (+ 1 (* -4 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))>
#<alt 5>
#<alt (+ 5 (* 4 (/ 1 (pow v 2))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))>
#<alt 5>
#<alt (+ 5 (* 4 (/ 1 (pow v 2))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>

Calls

48 calls:

Time	Variable		Point	Expression
11.0ms	v	@	inf	(/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1))) 2)) (+ (* (PI) 1/2) (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)))))
3.0ms	v	@	inf	(- (/ (* (* (PI) (PI)) 1/4) (+ (* (PI) 1/2) (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1))))) (/ (pow (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1))) 2) (+ (* (PI) 1/2) (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1))))))
2.0ms	v	@	0	(- (/ (* (* (PI) (PI)) 1/4) (+ (* (PI) 1/2) (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1))))) (/ (pow (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1))) 2) (+ (* (PI) 1/2) (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1))))))
2.0ms	v	@	0	(/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1))) 2)) (+ (* (PI) 1/2) (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)))))
1.0ms	v	@	0	(/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))

simplify378.0ms (2.3%)

Memory

11.5MiB live, 237.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 990×	`lower-fma.f64`
13 990×	`lower-fma.f32`
4 360×	`lower-*.f64`
4 360×	`lower-*.f32`
1 676×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	3236
1	227	3224
2	504	3186
3	1179	3178
4	2835	3172
5	6883	3172
0	8287	2806

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(* 4 (pow v 4))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* 4 (pow v 4))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* 4 v)
(* v (+ 4 (* 4 (pow v 2))))
(* v (+ 4 (* 4 (pow v 2))))
(* v (+ 4 (* 4 (pow v 2))))
(* 4 (pow v 3))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* 4 (pow v 3))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(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)
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))

Outputs
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 v (.f64 v (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (*.f64 v v) v)) #s(literal 4 binary64))) #s(literal -1 binary64))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (.f64 v v))) (.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (.f64 v v)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 v v))) (*.f64 v v))) #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (.f64 v v))) (.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (.f64 v v)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 v v))) (*.f64 v v))) #s(literal -5 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))
(* 4 (pow v 4))
(.f64 v (.f64 #s(literal 4 binary64) (.f64 v (.f64 v v))))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (*.f64 v v) v)))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))
(* 4 (pow v 4))
(.f64 v (.f64 #s(literal 4 binary64) (.f64 v (.f64 v v))))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (*.f64 v v) v)))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* v (+ 4 (* 4 (pow v 2))))
(.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v))
(* v (+ 4 (* 4 (pow v 2))))
(.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v))
(* v (+ 4 (* 4 (pow v 2))))
(.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v))
(* 4 (pow v 3))
(.f64 #s(literal 4 binary64) (.f64 v (*.f64 v v)))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v))
(* 4 (pow v 3))
(.f64 #s(literal 4 binary64) (.f64 v (*.f64 v v)))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
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(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
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-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 v (.f64 v (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (*.f64 v v) v)) #s(literal 4 binary64))) #s(literal -1 binary64))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (.f64 v v))) (.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
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-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (.f64 v v))) (.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
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(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
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(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
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(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
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(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
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(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
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(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
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(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
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(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
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(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
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(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
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(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
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1
#s(literal 1 binary64)
(+ 1 (* -4 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(fma.f64 (.f64 v v) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (*.f64 v v) v)) #s(literal -4 binary64)) #s(literal 1 binary64))
5
#s(literal 5 binary64)
(+ 5 (* 4 (/ 1 (pow v 2))))
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))) (.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (.f64 v v)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v))) (*.f64 v v)) #s(literal 1 binary64)) #s(literal 5 binary64))
5
#s(literal 5 binary64)
(+ 5 (* 4 (/ 1 (pow v 2))))
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))) (.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (.f64 v v)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v))) (*.f64 v v)) #s(literal 1 binary64)) #s(literal 5 binary64))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
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(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
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(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
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(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

rewrite498.0ms (3%)

Memory

36.7MiB live, 707.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 394×	`lower-*.f32`
6 384×	`lower-*.f64`
3 766×	`lower-fma.f32`
3 754×	`lower-fma.f64`
3 258×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	306
0	72	239
1	318	235
2	2729	226
0	9027	226

Stop Event

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

Counts

19 → 1 036

Calls

Call 1

Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
(.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(PI.f64)
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(*.f64 v v)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 v (.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))))
(+.f64 (.f64 v (.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(-.f64 (/.f64 (.f64 v (.f64 (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))))) (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))
(fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64))
(fma.f64 (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) v #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 v v) (fma.f64 v v #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (.f64 (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))) (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal 64 binary64) (.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (fma.f64 v v #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 v (.f64 (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal 64 binary64) (.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (fma.f64 v v #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64))))) #s(literal -1 binary64)) (fma.f64 v (.f64 (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal 64 binary64) (.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (fma.f64 v v #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 v (.f64 (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))))) (.f64 v (.f64 (.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))))
(/.f64 (fma.f64 v (.f64 (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(literal -1 binary64)) (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal 64 binary64) (.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (fma.f64 v v #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64))))) #s(literal -1 binary64))) (neg.f64 (fma.f64 v (.f64 (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 v (.f64 (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))))))) (-.f64 #s(literal -1 binary64) (.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 v (.f64 (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))))) (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (fma.f64 v (.f64 (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))) (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal 64 binary64) (.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (fma.f64 v v #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 v (.f64 (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal 64 binary64) (.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (fma.f64 v v #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 (.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))))))
(.f64 (fma.f64 v (.f64 (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))
(+.f64 (.f64 v #s(literal 4 binary64)) (.f64 v (.f64 (.f64 v v) #s(literal 4 binary64))))
(+.f64 (.f64 v (.f64 (.f64 v v) #s(literal 4 binary64))) (.f64 v #s(literal 4 binary64)))
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(/.f64 (-.f64 (.f64 (neg.f64 (PI.f64)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))) (.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))) (.f64 #s(literal -2 binary64) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (neg.f64 (PI.f64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -2 binary64))) (.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))) (.f64 #s(literal -2 binary64) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64))) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal -2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -2 binary64))) (.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (neg.f64 (acos.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 (.f64 (neg.f64 (PI.f64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))) (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal -2 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (neg.f64 (PI.f64)) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (.f64 #s(literal -2 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (.f64 #s(literal -2 binary64) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (neg.f64 (acos.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 (.f64 (neg.f64 (PI.f64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (.f64 #s(literal -2 binary64) (.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (acos.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 (.f64 (neg.f64 (PI.f64)) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))))) (.f64 #s(literal -2 binary64) (.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))) (.f64 #s(literal -2 binary64) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))))))
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(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64))
(.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(.f64 (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 1 binary64)))

eval441.0ms (2.7%)

Memory: -31.5MiB live, 783.2MiB allocated
Compiler: Compiled 161 628 to 4 525 computations (97.2% saved)

prune256.0ms (1.5%)

Memory

-14.7MiB live, 670.5MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	2 212	22	2 234
Fresh	3	1	4
Picked	3	2	5
Done	0	0	0
Total	2 218	25	2 243

Accuracy

99.1%

Counts

2 243 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.7%	(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.3%	(fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (acos.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 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.2%	(fma.f64 (PI.f64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
	98.9%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))))
	4.0%	(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	4.0%	(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
▶	6.4%	(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	4.0%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))))) (.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64)))) (.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
▶	6.4%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	4.0%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	6.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	6.3%	(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.3%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	3.3%	(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))))
	6.4%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.3%	(/.f64 (.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
▶	96.5%	(-.f64 (.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	97.4%	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	97.4%	(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	98.7%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))
▶	98.9%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))
	3.4%	(.f64 (/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
✓	98.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))
▶	98.7%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓	97.4%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 2 278 to 949 computations (58.3% saved)

simplify215.0ms (1.3%)

Memory

33.4MiB live, 308.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))
✓	cost-diff	0	(-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
✓	cost-diff	384	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
✓	cost-diff	0	(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
✓	cost-diff	0	(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	cost-diff	0	(fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))
✓	cost-diff	0	(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
✓	cost-diff	0	(.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
✓	cost-diff	0	(-.f64 (.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	cost-diff	64	(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))
✓	cost-diff	0	(*.f64 v #s(literal 4 binary64))
✓	cost-diff	0	(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	cost-diff	0	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓	cost-diff	0	#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))
✓	cost-diff	0	(acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))

Rules

7 700×	`lower-fma.f32`
7 682×	`lower-fma.f64`
4 112×	`lower-*.f32`
4 090×	`lower-*.f64`
2 328×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	691
0	107	682
1	183	668
2	322	658
3	693	658
4	1558	658
5	3204	658
6	5045	658
7	7389	658
0	8077	654

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))
(PI.f64)
(acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64))))
#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))
(fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64))
v
(.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v))
#s(literal -4 binary64)
(fma.f64 v (*.f64 v v) v)
(*.f64 v v)
#s(literal 1 binary64)
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(-.f64 (.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))
(.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(sqrt.f64 (PI.f64))
#s(literal 1/3 binary64)
(cbrt.f64 (sqrt.f64 (PI.f64)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
#s(literal 5 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
#s(literal 5 binary64)
(*.f64 v v)
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
(-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))
(.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))
(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/16 binary64)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 4 binary64)
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(literal 1/2 binary64)

Outputs
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))))
(PI.f64)
(acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64))))
(acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))))
#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))
#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64))
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))
v
(.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v))
(.f64 v (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)))
#s(literal -4 binary64)
(fma.f64 v (*.f64 v v) v)
(*.f64 v v)
#s(literal 1 binary64)
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(-.f64 (.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (acos.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 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))
(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))
(.f64 (PI.f64) (.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(sqrt.f64 (PI.f64))
#s(literal 1/3 binary64)
(cbrt.f64 (sqrt.f64 (PI.f64)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
#s(literal 5 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.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 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.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 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
#s(literal 5 binary64)
(*.f64 v v)
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
(-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))
(.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))
(.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/16 binary64)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 4 binary64)
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(literal 1/2 binary64)

localize675.0ms (4.1%)

Memory

-3.0MiB live, 939.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
✓	accuracy	97.6%	(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
✓	accuracy	9.2%	(-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))
✓	accuracy	9.1%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	accuracy	98.8%	(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	accuracy	98.8%	(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	accuracy	9.2%	(fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))
✓	accuracy	9.1%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	accuracy	98.4%	(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))
✓	accuracy	98.4%	(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	7.4%	(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	accuracy	100.0%	(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 v #s(literal 4 binary64))
✓	accuracy	99.8%	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	accuracy	98.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))
✓	accuracy	7.4%	(acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64))))

Samples

252.0ms	105×	3	valid
170.0ms	73×	2	valid
110.0ms	68×	1	valid
5.0ms	10×	0	valid

Compiler

Compiled 720 to 62 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 403.0ms

adjust: 76.0ms (18.8% of total)

ival-asin: 68.0ms (16.9% of total)

ival-mult: 62.0ms (15.4% of total)

ival-acos: 59.0ms (14.6% of total)

ival-div: 30.0ms (7.4% of total)

ival-pi: 25.0ms (6.2% of total)

ival-sub: 21.0ms (5.2% of total)

ival-add: 21.0ms (5.2% of total)

ival-pow: 14.0ms (3.5% of total)

ival-pow2: 9.0ms (2.2% of total)

ival-cbrt: 8.0ms (2% of total)

ival-sqrt: 4.0ms (1% of total)

const: 4.0ms (1% of total)

exact: 1.0ms (0.2% of total)

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

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

series20.0ms (0.1%)

Memory

6.2MiB live, 43.6MiB allocated

Counts

26 → 228

Calls

Call 1

Inputs
#<alt (-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))>
#<alt (PI.f64)>
#<alt (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64))))>
#<alt #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))>
#<alt (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))>
#<alt #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))>
#<alt (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))>
#<alt (*.f64 v #s(literal 4 binary64))>
#<alt (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))>
#<alt (-.f64 (.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))>
#<alt (.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))>
#<alt (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))>
#<alt (/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))>
#<alt (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))>
#<alt (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))>
#<alt (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))>
#<alt (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))>
#<alt (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))>
#<alt (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))>
#<alt (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))>
#<alt (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))>
#<alt (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))>
#<alt (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))>
#<alt (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))>

Outputs
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt 1>
#<alt (+ 1 (* -4 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))>
#<alt 5>
#<alt (+ 5 (* 4 (/ 1 (pow v 2))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))>
#<alt 5>
#<alt (+ 5 (* 4 (/ 1 (pow v 2))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt -1>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)>
#<alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt -1>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (* 4 (pow v 2))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* 4 (pow v 2))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt -1>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)>
#<alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>

Calls

57 calls:

Time	Variable		Point	Expression
5.0ms	v	@	inf	(/ (/ (- (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (pow (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1))) 4)) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1))) 2))) (+ (* (PI) 1/2) (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)))))
2.0ms	v	@	0	(/ (/ (- (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (pow (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1))) 4)) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1))) 2))) (+ (* (PI) 1/2) (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)))))
2.0ms	v	@	0	(- (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))
1.0ms	v	@	inf	(/ (+ (* (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1))) (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))) (* (PI) (* (PI) 1/4))) (+ (* (PI) 1/2) (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)))))
1.0ms	v	@	0	(/ (+ (* (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1))) (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))) (* (PI) (* (PI) 1/4))) (+ (* (PI) 1/2) (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)))))

simplify273.0ms (1.6%)

Memory

22.7MiB live, 330.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 410×	`lower-fma.f64`
13 410×	`lower-fma.f32`
4 460×	`lower-*.f64`
4 460×	`lower-*.f32`
2 056×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	4754
1	243	4742
2	521	4734
3	1192	4730
4	2694	4724
5	5849	4724
0	8142	4136

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
-1
(- (* 4 (pow v 2)) 1)
(- (* 4 (pow v 2)) 1)
(- (* 4 (pow v 2)) 1)
(* 4 (pow v 2))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* 4 (pow v 2))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
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1
#s(literal 1 binary64)
(+ 1 (* -4 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
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(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
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5
#s(literal 5 binary64)
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5
#s(literal 5 binary64)
(+ 5 (* 4 (/ 1 (pow v 2))))
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
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#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
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#s(literal -5 binary64)
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#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
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#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
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(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
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(* 4 v)
(*.f64 v #s(literal 4 binary64))
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(*.f64 v #s(literal 4 binary64))
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(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
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(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
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(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
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(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
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(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
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(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
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(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
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(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))

rewrite405.0ms (2.4%)

Memory

-14.5MiB live, 558.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 558×	`lower-fma.f32`
6 540×	`lower-fma.f64`
4 852×	`lower-*.f32`
4 830×	`lower-*.f64`
2 276×	`lower-pow.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	473
0	107	375
1	416	330
2	3320	303
0	8229	303

Stop Event

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

Counts

26 → 1 384

Calls

Call 1

Inputs
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))
(PI.f64)
(acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64))))
#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 v #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))
(-.f64 (.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
(-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))
(.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(sqrt.f64 (PI.f64))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))

Outputs
(+.f64 (PI.f64) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64))))))
(+.f64 (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64))))) (PI.f64))
(+.f64 (-.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (fma.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))) (+.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64))))) (.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (fma.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))) (+.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64))))) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))))
(fma.f64 (PI.f64) #s(literal 1 binary64) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64))))))
(fma.f64 (PI.f64) (log.f64 (E.f64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64))))))
(fma.f64 #s(literal -1 binary64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))) (PI.f64))
(fma.f64 #s(literal 1 binary64) (PI.f64) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64))))))
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(.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 4 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (log.f64 (PI.f64)))))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 3 binary64) (log.f64 (PI.f64))))
(cbrt.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))
(pow.f64 (PI.f64) #s(literal 4 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 8 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 12 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 4/3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 3 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))
(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))
(.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (PI.f64)) (pow.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 10/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))
(*.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) (pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/6 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 7/6 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 11/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 4/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (sqrt.f64 (PI.f64))))) #s(literal 1/6 binary64)) #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 5/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 7/6 binary64)) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 5/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 4/3 binary64)))
(.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 5/6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))

eval806.0ms (4.8%)

Memory: 16.1MiB live, 1 137.2MiB allocated
Compiler: Compiled 201 945 to 8 835 computations (95.6% saved)

prune626.0ms (3.8%)

Memory

-11.8MiB live, 988.0MiB allocated

Pruning

36 alts after pruning (32 fresh and 4 done)

	Pruned	Kept	Total
New	3 298	24	3 322
Fresh	10	8	18
Picked	3	2	5
Done	0	2	2
Total	3 311	36	3 347

Accuracy

99.1%

Counts

3 347 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.7%	(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.3%	(fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (acos.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 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.2%	(fma.f64 (PI.f64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
▶	98.7%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	4.0%	(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.9%	(/.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64)))) (-.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
▶	6.3%	(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	4.0%	(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
▶	5.9%	(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	6.4%	(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
	6.3%	(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	4.0%	(/.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	6.4%	(/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) (pow.f64 (.f64 (cbrt.f64 (PI.f64)) (.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	6.4%	(/.f64 (/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (.f64 (PI.f64) (PI.f64)) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.4%	(/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 1/256 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 8 binary64)))) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	4.0%	(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 1/4096 binary64))) (fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 1/256 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 8 binary64))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 12 binary64)) (fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 1/256 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 8 binary64)))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	4.0%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))))) (.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64)))) (.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	6.4%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
▶	6.3%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	6.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	6.3%	(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.3%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	3.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	6.4%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.3%	(/.f64 (.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.3%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	95.9%	(-.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 15/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	96.5%	(-.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	97.4%	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))
	97.4%	(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))
▶	98.7%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))
✓	98.9%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))
	3.4%	(.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
✓	98.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))
✓	98.7%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓	97.4%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 4 247 to 1 683 computations (60.4% saved)

simplify224.0ms (1.3%)

Memory

-19.8MiB live, 298.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) (PI.f64))
✓	cost-diff	384	(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
✓	cost-diff	16064	(fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))))
✓	cost-diff	0	(.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))
✓	cost-diff	0	(-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
✓	cost-diff	512	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
✓	cost-diff	0	(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
✓	cost-diff	0	(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	cost-diff	0	(fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))
✓	cost-diff	0	(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
✓	cost-diff	0	(asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓	cost-diff	0	(neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
✓	cost-diff	0	#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))

Rules

7 076×	`lower-fma.f32`
7 052×	`lower-fma.f64`
4 662×	`lower-*.f32`
4 642×	`lower-*.f64`
2 082×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	1085
0	133	1037
1	230	1023
2	358	1009
3	770	1009
4	1986	1009
5	4336	1009
6	7521	1009
0	8165	1008

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))
(PI.f64)
(acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))
#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 1 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(PI.f64)
#s(literal 1/2 binary64)
(neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
#s(literal 5 binary64)
(*.f64 v v)
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
#s(literal 1/2 binary64)
(asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
(-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))
(.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))
(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/16 binary64)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 4 binary64)
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(*.f64 v v)
(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(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)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 2 binary64)
(neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(literal 1/2 binary64)
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(*.f64 v #s(literal -5 binary64))

Outputs
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))))
(PI.f64)
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(/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(literal 1/2 binary64)
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(*.f64 v #s(literal -5 binary64))

localize1.0s (6.2%)

Memory

24.1MiB live, 1 172.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
✓	accuracy	97.6%	(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
✓	accuracy	9.1%	(fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))))
✓	accuracy	9.1%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	accuracy	98.4%	(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
✓	accuracy	97.6%	(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
✓	accuracy	9.2%	(-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))
✓	accuracy	8.9%	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	accuracy	98.8%	(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	accuracy	98.8%	(asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓	accuracy	9.2%	(fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))
✓	accuracy	9.1%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
✓	accuracy	99.8%	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	accuracy	98.8%	(asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))
✓	accuracy	99.8%	#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	accuracy	7.4%	(acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))

Samples

373.0ms	104×	3	valid
206.0ms	72×	2	valid
123.0ms	70×	1	valid
5.0ms	10×	0	valid

Compiler

Compiled 1 140 to 71 computations (93.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 583.0ms

ival-acos: 106.0ms (18.2% of total)

adjust: 95.0ms (16.3% of total)

ival-div: 69.0ms (11.8% of total)

ival-asin: 66.0ms (11.3% of total)

ival-add: 56.0ms (9.6% of total)

ival-pow2: 54.0ms (9.3% of total)

ival-mult: 45.0ms (7.7% of total)

ival-neg: 32.0ms (5.5% of total)

ival-sub: 29.0ms (5% of total)

ival-pow: 26.0ms (4.5% of total)

ival-pi: 6.0ms (1% of total)

exact: 1.0ms (0.2% of total)

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

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

series22.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

28 → 288

Calls

Call 1

Inputs
#<alt (-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))>
#<alt (PI.f64)>
#<alt (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))>
#<alt (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))>
#<alt (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))>
#<alt (/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))>
#<alt (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))>
#<alt (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))>
#<alt (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))>
#<alt (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))>
#<alt (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))>
#<alt (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))>
#<alt (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))>
#<alt (fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))))>
#<alt (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))>
#<alt (*.f64 (PI.f64) (PI.f64))>
#<alt #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))>
#<alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))>
#<alt (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))>
#<alt (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))>
#<alt (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))>
#<alt (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))>
#<alt (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))>
#<alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))>
#<alt (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))>
#<alt (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))>

Outputs
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt 1>
#<alt (+ 1 (* -4 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))>
#<alt 5>
#<alt (+ 5 (* 4 (/ 1 (pow v 2))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))>
#<alt 5>
#<alt (+ 5 (* 4 (/ 1 (pow v 2))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))>
#<alt (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
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#<alt (/ (- (* 1/16 (/ (pow (PI) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/16 (/ (pow (PI) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/16 (/ (pow (PI) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/16 (/ (pow (PI) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt -1>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)>
#<alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>

Calls

72 calls:

Time	Variable		Point	Expression
6.0ms	v	@	inf	(/ (/ (- (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (pow (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1))) 4)) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1))) 2))) (- (PI) (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)))))
2.0ms	v	@	inf	(+ (* (* (PI) (PI)) (/ (* (* (PI) (PI)) 1/16) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)))) (neg (/ (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 4) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)))))
2.0ms	v	@	0	(+ (* (* (PI) (PI)) (/ (* (* (PI) (PI)) 1/16) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)))) (neg (/ (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 4) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)))))
1.0ms	v	@	0	(/ (/ (- (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (pow (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1))) 4)) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1))) 2))) (- (PI) (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)))))
1.0ms	v	@	inf	(/ (+ (* (* (PI) (PI)) (/ (* (* (PI) (PI)) 1/16) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)))) (neg (/ (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 4) (+ (* (PI) (* (PI) 1/4)) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2))))) (+ (* (PI) 1/2) (asin (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)))))

simplify364.0ms (2.2%)

Memory

9.4MiB live, 283.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 884×	`lower-fma.f64`
11 884×	`lower-fma.f32`
4 384×	`lower-*.f64`
4 384×	`lower-*.f32`
2 138×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	7200
1	256	7188
2	520	7180
3	1146	7176
4	2708	7170
5	6004	7170
0	8201	6267

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
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(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))

Outputs
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -4 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(fma.f64 v (.f64 v (fma.f64 (.f64 (*.f64 v v) #s(literal -4 binary64)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64))
5
#s(literal 5 binary64)
(+ 5 (* 4 (/ 1 (pow v 2))))
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))) (.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (.f64 v v)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v))) (*.f64 v v)) #s(literal 1 binary64)) #s(literal 5 binary64))
5
#s(literal 5 binary64)
(+ 5 (* 4 (/ 1 (pow v 2))))
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))) (.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (.f64 v v)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v))) (*.f64 v v)) #s(literal 1 binary64)) #s(literal 5 binary64))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
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(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
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(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
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(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
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(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
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(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
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(- (* 4 (pow v 2)) 1)
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(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
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(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
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#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
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#s(literal -5 binary64)
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#s(literal -5 binary64)
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#s(literal -5 binary64)
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(/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
(/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
(/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))

rewrite732.0ms (4.4%)

Memory

11.9MiB live, 740.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 728×	`lower-fma.f32`
7 704×	`lower-fma.f64`
5 722×	`lower-*.f32`
5 702×	`lower-*.f64`
2 776×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	687
0	133	601
1	542	523
2	3883	479
0	9200	479

Stop Event

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

Counts

28 → 1 543

Calls

Call 1

Inputs
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))
(PI.f64)
(acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))
#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
(-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))
(.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))
(fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(*.f64 (PI.f64) (PI.f64))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))
(/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))

Outputs
(+.f64 (PI.f64) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(+.f64 (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))) (PI.f64))
(+.f64 (-.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (fma.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))) (+.f64 (PI.f64) (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))) (.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (fma.f64 (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))) (+.f64 (PI.f64) (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))) (.f64 (PI.f64) (PI.f64)))))
(-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))))
(fma.f64 (PI.f64) #s(literal 1 binary64) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (PI.f64) (log.f64 (E.f64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 #s(literal -1 binary64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))) (PI.f64))
(fma.f64 #s(literal 1 binary64) (PI.f64) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/3 binary64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64))) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (PI.f64) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (pow.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))) (neg.f64 (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
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(.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))))
(.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(.f64 (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -4 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64)))) (-.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))

eval1.1s (6.8%)

Memory: -34.2MiB live, 1 483.0MiB allocated
Compiler: Compiled 234 466 to 8 246 computations (96.5% saved)

prune572.0ms (3.4%)

Memory

-10.6MiB live, 1 348.4MiB allocated

Pruning

42 alts after pruning (35 fresh and 7 done)

	Pruned	Kept	Total
New	3 093	16	3 109
Fresh	8	19	27
Picked	2	3	5
Done	0	4	4
Total	3 103	42	3 145

Accuracy

99.2%

Counts

3 145 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.7%	(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	94.5%	(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
	3.3%	(fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (acos.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 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	95.7%	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	3.2%	(fma.f64 (PI.f64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
✓	98.7%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	4.0%	(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.5%	(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ ( v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	5.8%	(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	3.4%	(/.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64)))) (-.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	4.0%	(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	5.8%	(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (asin.f64 #s(approx (/ (+ ( v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (asin.f64 #s(approx (/ (+ ( v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))))
	6.3%	(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	5.9%	(/.f64 (fma.f64 (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	6.3%	(/.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (.f64 (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/16 binary64)) (.f64 (PI.f64) (PI.f64))))) (pow.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.8%	(/.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	6.4%	(/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) (pow.f64 (.f64 (cbrt.f64 (PI.f64)) (.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.4%	(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -4 binary64))) #s(literal -2 binary64))) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (.f64 (PI.f64) (PI.f64)))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ ( v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	3.4%	(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -4 binary64))) #s(literal -3 binary64))) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -4 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -4 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))))) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	5.8%	(/.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/16 binary64)) (.f64 (PI.f64) (PI.f64))) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (.f64 (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	6.4%	(/.f64 (/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (.f64 (PI.f64) (PI.f64)) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.4%	(/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 1/256 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 8 binary64)))) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	4.0%	(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 1/4096 binary64))) (fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 1/256 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 8 binary64))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 12 binary64)) (fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 1/256 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 8 binary64)))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
✓	6.3%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	6.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	5.8%	(/.f64 (-.f64 (fma.f64 (PI.f64) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) #s(literal 0 binary64)) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	3.3%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	3.2%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	6.4%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.3%	(/.f64 (.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	95.9%	(-.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 15/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	96.3%	(-.f64 (.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))
	96.5%	(-.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	97.2%	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))
	97.2%	(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))
	97.4%	(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))
✓	98.7%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))
✓	98.9%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))
	3.4%	(.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
✓	98.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))
✓	98.7%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓	97.4%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 6 595 to 1 321 computations (80% saved)

regimes91.0ms (0.5%)

Memory

-12.8MiB live, 215.6MiB allocated

Counts

72 → 1

Calls

Call 1

Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.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 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))
(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))
(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.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 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))
(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))
(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (acos.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 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(-.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (acos.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 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (acos.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 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.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 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (fma.f64 (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (acos.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 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (PI.f64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (acos.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 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (acos.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 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(-.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 15/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ ( v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
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(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -4 binary64))) #s(literal -2 binary64))) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (.f64 (PI.f64) (PI.f64)))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ ( v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))))) (.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64)))) (.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -4 binary64))) #s(literal -3 binary64))) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -4 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -4 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))))) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))

Outputs
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))

Calls

4 calls:

23.0ms	v
20.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
20.0ms	(*.f64 v v)
19.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
98.9%	1	`v`
98.9%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
98.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.9%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes11.0ms (0.1%)

Memory

-12.7MiB live, 33.9MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))

Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))

Calls

4 calls:

5.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
2.0ms	v
2.0ms	(*.f64 v v)
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.9%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
98.9%	1	`v`
98.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.9%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes7.0ms (0%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))

Outputs
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))

Calls

4 calls:

2.0ms	v
2.0ms	(*.f64 v v)
2.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.7%	1	`v`
98.7%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
98.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.7%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes5.0ms (0%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))

Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))

Calls

4 calls:

1.0ms	v
1.0ms	(*.f64 v v)
1.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.7%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
98.7%	1	`v`
98.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.7%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes26.0ms (0.2%)

Memory

-27.9MiB live, 11.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Calls

4 calls:

22.0ms	(*.f64 v v)
1.0ms	v
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
1.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
97.4%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
97.4%	1	`v`
97.4%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
97.4%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

simplify7.0ms (0%)

Memory

12.1MiB live, 12.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	114
1	49	114
2	55	114
3	59	114
4	61	114

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Outputs
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal -4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

soundness685.0ms (4.1%)

Memory

5.5MiB live, 485.7MiB allocated

Rules

13 990×	`lower-fma.f64`
13 990×	`lower-fma.f32`
7 768×	`lower-fma.f64`
7 768×	`lower-fma.f32`
4 956×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	516
1	100	510
2	269	506
3	659	506
4	2016	504
5	5113	504
0	8075	457
0	9	47
0	15	47
1	70	47
2	530	47
3	6828	47
0	8012	41
0	94	3236
1	227	3224
2	504	3186
3	1179	3178
4	2835	3172
5	6883	3172
0	8287	2806

Stop Event

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

Compiler

Compiled 129 to 77 computations (40.3% saved)

preprocess41.0ms (0.2%)

Memory: -19.8MiB live, 97.5MiB allocated
Remove: (abs v)
Compiler: Compiled 162 to 86 computations (46.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze440.0ms (2.6%)

sample4.2s (25%)

preprocess291.0ms (1.8%)

explain252.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify428.0ms (2.6%)

localize84.0ms (0.5%)

series3.0ms (0%)

simplify176.0ms (1.1%)

rewrite311.0ms (1.9%)

eval146.0ms (0.9%)

prune112.0ms (0.7%)

simplify176.0ms (1.1%)

localize471.0ms (2.8%)

series25.0ms (0.1%)

simplify378.0ms (2.3%)

rewrite498.0ms (3%)

eval441.0ms (2.7%)

prune256.0ms (1.5%)

simplify215.0ms (1.3%)

localize675.0ms (4.1%)

series20.0ms (0.1%)

simplify273.0ms (1.6%)

rewrite405.0ms (2.4%)

eval806.0ms (4.8%)

prune626.0ms (3.8%)

simplify224.0ms (1.3%)

localize1.0s (6.2%)

series22.0ms (0.1%)

simplify364.0ms (2.2%)

rewrite732.0ms (4.4%)

eval1.1s (6.8%)

prune572.0ms (3.4%)

regimes91.0ms (0.5%)

regimes11.0ms (0.1%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes26.0ms (0.2%)

simplify7.0ms (0%)

soundness685.0ms (4.1%)

preprocess41.0ms (0.2%)

end0.0ms (0%)

Profiling