Metrics for Falkner and Boettcher, Appendix B, 1

analyze348.0ms (2.2%)

Memory

-19.5MiB live, 543.3MiB 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 (26.7%)

Memory

-128.9MiB live, 4 736.4MiB allocated

Samples

1.5s	3 816×	3	valid
627.0ms	2 108×	1	valid
610.0ms	8 331×	0	invalid
556.0ms	2 010×	2	valid
24.0ms	322×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.7s

ival-sub: 828.0ms (30.3% of total)

adjust: 611.0ms (22.4% of total)

ival-acos: 587.0ms (21.5% of total)

ival-mult: 340.0ms (12.5% of total)

ival-div: 326.0ms (11.9% of total)

exact: 16.0ms (0.6% of total)

ival-true: 14.0ms (0.5% of total)

ival-assert: 7.0ms (0.3% of total)

Bogosity

preprocess338.0ms (2.1%)

Memory

-1.5MiB live, 428.4MiB 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)

explain274.0ms (1.7%)

Memory

31.1MiB live, 465.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
6	249	(5.381378952251866e-41)	-	`(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	0	-	-	`(.f64 #s(literal 5 binary64) (.f64 v v))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 v v)`
0	0	-	-	`#s(literal 5 binary64)`
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	-	-	`v`
0	0	-	-	`(-.f64 (*.f64 v v) #s(literal 1 binary64))`
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	0

Confusion

	Predicted +	Predicted -
+	6	0
-	249	1

Precision

0.023529411764705882

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	6	0	0
-	249	1	0

Precision?

0.0234375

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

89.0ms	240×	3	valid
35.0ms	124×	2	valid
20.0ms	130×	1	valid
1.0ms	18×	0	valid

Compiler

Compiled 134 to 40 computations (70.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-acos: 45.0ms (39.7% of total)

adjust: 24.0ms (21.2% of total)

ival-sub: 18.0ms (15.9% of total)

ival-div: 13.0ms (11.5% of total)

ival-mult: 12.0ms (10.6% of total)

ival-true: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(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)

simplify265.0ms (1.7%)

Memory

5.1MiB live, 441.6MiB 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))

localize90.0ms (0.6%)

Memory

-9.4MiB live, 215.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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	100.0%	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
✓	accuracy	99.8%	(.f64 #s(literal 5 binary64) (.f64 v v))
✓	accuracy	99.6%	(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	120×	3	valid
16.0ms	62×	2	valid
13.0ms	65×	1	valid
1.0ms	9×	0	valid

Compiler

Compiled 52 to 11 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-acos: 19.0ms (37.2% of total)

adjust: 11.0ms (21.5% of total)

ival-sub: 8.0ms (15.6% of total)

ival-div: 7.0ms (13.7% of total)

ival-mult: 6.0ms (11.7% 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

10.0MiB live, 10.0MiB allocated

Counts

5 → 60

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))>

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))>

Calls

15 calls:

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

simplify320.0ms (2%)

Memory

3.6MiB live, 442.7MiB 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	480
1	100	474
2	269	470
3	659	470
4	2016	468
5	5113	468
0	8075	421

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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))

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) (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v v) v) v)) #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))

rewrite345.0ms (2.2%)

Memory

-21.3MiB live, 644.3MiB 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	44
0	15	44
1	70	44
2	530	44
3	6828	44
0	8012	38

Stop Event

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

Counts

5 → 599

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))

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)))))
(/.f64 (neg.f64 (neg.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)))
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(.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -125 binary64) #s(literal 1 binary64)) (+.f64 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 #s(literal 1 binary64) v)))
(.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)

eval86.0ms (0.5%)

Memory: 15.1MiB live, 209.3MiB allocated
Compiler: Compiled 21 217 to 2 102 computations (90.1% saved)

prune101.0ms (0.6%)

Memory

-23.5MiB live, 177.9MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	650	9	659
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	651	9	660

Accuracy

99.6%

Counts

660 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(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)))))
	2.7%	(/.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))))))
▶	2.7%	(-.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)))))))
	99.5%	(.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))) (/.f64 #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)))) (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)))))
▶	99.5%	(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
	98.0%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
▶	99.3%	(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))))
	98.8%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
▶	97.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 434 to 218 computations (49.8% saved)

simplify233.0ms (1.5%)

Memory

17.5MiB live, 367.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

7 432×	`lower-fma.f32`
7 418×	`lower-fma.f64`
2 474×	`lower-*.f32`
2 464×	`lower-*.f64`
2 166×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	394
0	70	390
1	122	386
2	227	382
3	459	382
4	934	382
5	1873	382
6	3102	382
7	5106	382
8	7332	382
0	8203	379

Stop Event

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

Calls

Call 1

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

localize434.0ms (2.7%)

Memory

35.8MiB live, 539.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.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	99.4%	(/.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	8.3%	(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	6.4%	(-.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	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%	(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)))))
✓	accuracy	100.0%	(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
✓	accuracy	99.5%	(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	100.0%	(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	99.7%	#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	99.6%	(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))))
✓	accuracy	99.6%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
✓	accuracy	98.5%	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 v v #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 v #s(literal -5 binary64))
✓	accuracy	100.0%	(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
✓	accuracy	99.6%	(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Samples

191.0ms	120×	3	valid
88.0ms	62×	2	valid
46.0ms	67×	1	valid
2.0ms	7×	0	valid

Compiler

Compiled 414 to 42 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 270.0ms

ival-div: 63.0ms (23.3% of total)

adjust: 60.0ms (22.2% of total)

ival-asin: 40.0ms (14.8% of total)

ival-mult: 40.0ms (14.8% of total)

ival-acos: 26.0ms (9.6% of total)

ival-add: 19.0ms (7% of total)

ival-sub: 11.0ms (4.1% of total)

ival-pow2: 8.0ms (3% of total)

ival-pi: 2.0ms (0.7% of total)

exact: 1.0ms (0.4% of total)

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

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

series21.0ms (0.1%)

Memory

-1.3MiB live, 36.7MiB allocated

Counts

22 → 228

Calls

Call 1

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

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 (+ 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 (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<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 (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 (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (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 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) (+ (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 -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 -1>
#<alt (- (* 5 (pow v 2)) 1)>
#<alt (- (* 5 (pow v 2)) 1)>
#<alt (- (* 5 (pow v 2)) 1)>
#<alt (* 5 (pow v 2))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* 5 (pow v 2))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 5 (/ 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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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 (/ (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))))>

Calls

57 calls:

Time	Variable		Point	Expression
7.0ms	v	@	0	(* v -5)
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))))))
1.0ms	v	@	0	(* v (+ (* (* v v) 4) 4))
0.0ms	v	@	inf	(+ (* v (* v (+ (* (* v v) 4) 4))) -1)

simplify484.0ms (3.1%)

Memory

2.8MiB live, 683.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16 368×	`lower-fma.f64`
16 368×	`lower-fma.f32`
4 544×	`lower-*.f64`
4 544×	`lower-*.f32`
2 492×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	3478
1	230	3460
2	522	3418
3	1220	3410
4	4134	3402
5	7819	3402
0	8389	2980

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(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)))))
(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)))))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(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)))
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) (+ (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)))))
-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))))
-1
(- (* 5 (pow v 2)) 1)
(- (* 5 (pow v 2)) 1)
(- (* 5 (pow v 2)) 1)
(* 5 (pow v 2))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* 5 (pow v 2))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(+ (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))) 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))))
(/ (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))))
(/ (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))))
(/ (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))))
(/ (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))))
(/ (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))))
(/ (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))))
(/ (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))))
(/ (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))))
(/ (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))))
(/ (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))))

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

rewrite483.0ms (3%)

Memory

-42.5MiB live, 765.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 838×	`lower-*.f32`
5 828×	`lower-*.f64`
3 112×	`lower-fma.f32`
3 098×	`lower-fma.f64`
3 036×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	308
0	70	261
1	298	257
2	2503	248
0	8281	248

Stop Event

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

Counts

22 → 892

Calls

Call 1

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

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

eval298.0ms (1.9%)

Memory: 14.5MiB live, 561.9MiB allocated
Compiler: Compiled 104 106 to 4 382 computations (95.8% saved)

prune259.0ms (1.6%)

Memory

17.6MiB live, 467.5MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1 970	15	1 985
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	1 975	19	1 994

Accuracy

99.6%

Counts

1 994 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.7%	(fma.f64 (pow.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)))) #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 (.f64 (PI.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))))))
	98.1%	(fma.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)))) #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)))))
	96.6%	(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) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	99.5%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))
▶	99.3%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))
	98.8%	(fma.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)))))
	2.7%	(fma.f64 #s(literal 1/4 binary64) (/.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))))) (/.f64 (pow.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)))) #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)))))))
▶	2.7%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (pow.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)))) #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 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (pow.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)))) #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)))))))
	2.7%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (pow.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)))) #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 #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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))
	2.4%	(/.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 (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))))))
	2.7%	(/.f64 #s(literal 1 binary64) (/.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 #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 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (pow.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)))) #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)))))
	2.4%	(-.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 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64)))))))
	2.7%	(.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #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 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.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)))) (-.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)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
✓	99.5%	(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
	98.0%	(acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx (+ ( v v) -1) #s(literal -1 binary64))))
✓	99.3%	(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))))
▶	98.8%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
	18.8%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* v (* v (+ (* (* v v) 4) 4))) -1) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 4 binary64))))))
✓	97.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 1 301 to 610 computations (53.1% saved)

simplify301.0ms (1.9%)

Memory

16.8MiB live, 407.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (pow.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)))) #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)))
✓	cost-diff	256	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (pow.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)))) #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))))))
✓	cost-diff	320	(.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))
✓	cost-diff	768	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (pow.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)))) #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 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (pow.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)))) #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)))))))
✓	cost-diff	0	(asin.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	(pow.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)))) #s(literal 2 binary64))
✓	cost-diff	128	(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))))))
✓	cost-diff	192	(fma.f64 (pow.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)))) #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 (.f64 (PI.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))))))
✓	cost-diff	0	#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #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) (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 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	(PI.f64)
✓	cost-diff	0	(sqrt.f64 (PI.f64))
✓	cost-diff	0	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))
✓	cost-diff	1600	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))

Rules

7 242×	`lower-fma.f32`
7 224×	`lower-fma.f64`
5 076×	`lower-*.f32`
5 062×	`lower-*.f64`
2 542×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	754
0	105	732
1	200	732
2	468	723
3	1511	713
4	3907	713
0	8380	703

Stop Event

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

Calls

Call 1

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

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

localize645.0ms (4.1%)

Memory

-5.2MiB live, 1 037.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.6%	(pow.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)))) #s(literal 4 binary64))
✓	accuracy	51.7%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (pow.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)))) #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)))
✓	accuracy	8.6%	(-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (pow.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)))) #s(literal 4 binary64)))
✓	accuracy	7.3%	(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	99.5%	(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	99.4%	(/.f64 (.f64 (.f64 (PI.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)))))
✓	accuracy	7.9%	(fma.f64 (pow.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)))) #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 (.f64 (PI.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))))))
✓	accuracy	7.3%	(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 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
✓	accuracy	99.7%	#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.5%	(asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #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	99.6%	(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	99.4%	#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%	(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
✓	accuracy	99.5%	(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	98.4%	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))

Samples

259.0ms	120×	3	valid
101.0ms	62×	2	valid
101.0ms	67×	1	valid
3.0ms	7×	0	valid

Compiler

Compiled 791 to 60 computations (92.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 370.0ms

ival-acos: 66.0ms (17.9% of total)

adjust: 58.0ms (15.7% of total)

ival-asin: 53.0ms (14.3% of total)

ival-mult: 42.0ms (11.4% of total)

ival-div: 39.0ms (10.5% of total)

ival-sub: 30.0ms (8.1% of total)

ival-add: 20.0ms (5.4% of total)

ival-pi: 18.0ms (4.9% of total)

ival-pow2: 17.0ms (4.6% of total)

ival-pow: 13.0ms (3.5% of total)

ival-neg: 7.0ms (1.9% of total)

ival-sqrt: 5.0ms (1.4% of total)

exact: 1.0ms (0.3% of total)

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

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

series65.0ms (0.4%)

Memory

7.6MiB live, 44.2MiB allocated

Counts

26 → 264

Calls

Call 1

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

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

66 calls:

Time	Variable		Point	Expression
39.0ms	v	@	0	(+ (* (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2) (neg (/ 1 (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))))) (/ (* (* (PI) (PI)) 1/4) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))))
7.0ms	v	@	inf	(/ (/ (- (* (* (* (PI) (PI)) -1/4) (* (* (PI) (PI)) -1/4)) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 4)) (pow (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) 2)) (/ (- (* (* (PI) (PI)) -1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (neg (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))))
3.0ms	v	@	0	(/ (/ (- (* (* (* (PI) (PI)) -1/4) (* (* (PI) (PI)) -1/4)) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 4)) (pow (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) 2)) (/ (- (* (* (PI) (PI)) -1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (neg (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))))
2.0ms	v	@	inf	(+ (* (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2) (neg (/ 1 (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))))) (/ (* (* (PI) (PI)) 1/4) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))))
1.0ms	v	@	inf	(/ (- (* (* (* (PI) (PI)) -1/4) (* (* (PI) (PI)) -1/4)) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 4)) (pow (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) 2))

simplify556.0ms (3.5%)

Memory

-16.8MiB live, 1 087.8MiB allocated

Algorithm

1×	egg-herbie

Rules

27 648×	`lower-fma.f64`
27 648×	`lower-fma.f32`
5 378×	`lower-*.f64`
5 378×	`lower-*.f32`
2 852×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	5194
1	284	5174
2	668	5170
3	1575	5126
4	4226	4966
0	8159	4359

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(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)
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(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)))
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 (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))))
(+ (* -1 (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))))
(+ (* -1 (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))))
(+ (* -1 (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))))
(+ (* -1 (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))))
(+ (* -1 (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))))
(+ (* -1 (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))))
(+ (* -1 (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))))
(+ (* -1 (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))))
(+ (* -1 (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))))
(+ (* -1 (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))))
(+ (* -1 (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))))
(/ -1 (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ -1 (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ -1 (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ -1 (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ -1 (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ -1 (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ -1 (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ -1 (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ -1 (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ -1 (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ -1 (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ -1 (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)
(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 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))))
(* -1 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))))
(* -1 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))))
(* -1 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))))
(* -1 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))))
(* -1 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))))
(* -1 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))))
(* -1 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))))
(* -1 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))))
(* -1 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))))
(* -1 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))))
(* -1 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))))
(* -1 (/ (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* -1 (/ (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* -1 (/ (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* -1 (/ (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* -1 (/ (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* -1 (/ (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* -1 (/ (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* -1 (/ (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* -1 (/ (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* -1 (/ (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* -1 (/ (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* -1 (/ (- (* -1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (pow (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (pow (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (pow (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (pow (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (pow (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (pow (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (pow (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (pow (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (pow (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (pow (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (pow (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (pow (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(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)))
-1
(- (* 5 (pow v 2)) 1)
(- (* 5 (pow v 2)) 1)
(- (* 5 (pow v 2)) 1)
(* 5 (pow v 2))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* 5 (pow v 2))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(* -4 (pow v 4))
(* -1 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2))))))
(* (pow v 4) (- (/ 1 (pow v 4)) (+ 4 (* 4 (/ 1 (pow v 2))))))
(* (pow v 4) (- (/ 1 (pow v 4)) (+ 4 (* 4 (/ 1 (pow v 2))))))
(* -4 (pow v 4))
(* -1 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2))))))
(* (pow v 4) (- (/ 1 (pow v 4)) (+ 4 (* 4 (/ 1 (pow v 2))))))
(* (pow v 4) (- (/ 1 (pow v 4)) (+ 4 (* 4 (/ 1 (pow v 2))))))
(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)))
(* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 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)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)

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

rewrite504.0ms (3.2%)

Memory

39.2MiB live, 835.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 856×	`lower-fma.f32`
6 838×	`lower-fma.f64`
5 166×	`lower-*.f32`
5 152×	`lower-*.f64`
2 512×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	501
0	105	446
1	440	438
2	3370	412
0	8533	412

Stop Event

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

Counts

26 → 1 112

Calls

Call 1

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

Outputs
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fabs.f64 (PI.f64))
(fabs.f64 (neg.f64 (PI.f64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 2/3 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(.f64 (pow.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)))
(.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(+.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)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (.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 (.f64 (.f64 (PI.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 #s(literal 5 binary64) (.f64 v v) #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 (PI.f64) #s(literal 1/2 binary64)) (-.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 (PI.f64) #s(literal 1/2 binary64))))
(-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 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)))))
(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)))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.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)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 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)))))
(fma.f64 #s(literal 1/2 binary64) (PI.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)))))
(fma.f64 #s(literal 1 binary64) (.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)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.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)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 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)))))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.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)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.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)))) (-.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)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.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)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.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) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #s(literal 2 binary64)))))
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(pow.f64 (/.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 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 (.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)) (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 8 binary64)))) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (.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 12 binary64))) (/.f64 #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 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 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) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/256 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 (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 (.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)) (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 8 binary64))) (/.f64 #s(literal 1 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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))))
(exp.f64 (.f64 #s(literal 4 binary64) (log.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (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 (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))
(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 4 binary64)) #s(literal 1 binary64))
(pow.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))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (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)))) (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 (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 v (*.f64 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 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 (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 3 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 (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 4 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 4 binary64)))

eval424.0ms (2.7%)

Memory: -5.1MiB live, 623.7MiB allocated
Compiler: Compiled 136 710 to 5 295 computations (96.1% saved)

prune380.0ms (2.4%)

Memory

-17.1MiB live, 482.8MiB allocated

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	2 254	13	2 267
Fresh	4	7	11
Picked	3	2	5
Done	0	3	3
Total	2 261	25	2 286

Accuracy

99.7%

Counts

2 286 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.7%	(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)) (/.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 (.f64 (PI.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))))))
	2.7%	(fma.f64 (pow.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)))) #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.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) (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))))))
▶	96.3%	(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) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))
	97.2%	(fma.f64 (.f64 (sqrt.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)))) (sqrt.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)))))
	98.1%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (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)))))))
▶	99.3%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))
✓	99.3%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))
▶	98.8%	(fma.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)))))
	2.7%	(/.f64 (fma.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))))) (/.f64 (.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))))) (neg.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 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (pow.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)))) #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)))))))
	2.7%	(/.f64 (/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/16 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 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 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (pow.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)))) #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)))))))
	2.7%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (pow.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)))) #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 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (pow.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)))) #s(literal 2 binary64))) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #s(literal 2 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)))))))))
	2.7%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (pow.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)))) #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))) (exp.f64 (.f64 (log.f64 (/.f64 (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 (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))))) #s(literal -1 binary64))))
▶	2.4%	(/.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 (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))))))
	2.7%	(/.f64 #s(literal 1 binary64) (/.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 #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 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (pow.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)))) #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)))))
	2.4%	(-.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 #s(approx (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64)))))))
	2.4%	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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))))) (/.f64 (pow.f64 (asin.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(literal 2 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))))))
▶	2.7%	(.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #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 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.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)))) (-.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)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
	2.7%	(.f64 (/.f64 (.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))) (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) (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))))))
✓	99.5%	(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
	98.0%	(acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx (+ ( v v) -1) #s(literal -1 binary64))))
✓	99.3%	(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))))
✓	98.8%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
	18.8%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* v (* v (+ (* (* v v) 4) 4))) -1) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 4 binary64))))))
✓	97.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
	2.7%	#s(approx (/ (/ (- (* (* (* (PI) (PI)) -1/4) (* (* (PI) (PI)) -1/4)) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 4)) (pow (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) 2)) (/ (- (* (* (PI) (PI)) -1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (neg (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))))) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #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))) (.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 (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))))))

Compiler

Compiled 2 117 to 960 computations (54.7% saved)

simplify523.0ms (3.3%)

Memory

2.2MiB live, 464.9MiB 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)) #s(literal 1/4 binary64)) (pow.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)))) #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 #s(literal -5 binary64) (.f64 v v) #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 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
✓	cost-diff	0	(.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #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 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.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)))) (-.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)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
✓	cost-diff	128	(-.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)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	cost-diff	0	(cbrt.f64 (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(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) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))
✓	cost-diff	1600	(*.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)))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 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 #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)))
✓	cost-diff	0	(/.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 (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))))))
✓	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	(asin.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	(fma.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)))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(sqrt.f64 (PI.f64))
✓	cost-diff	0	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))
✓	cost-diff	1600	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))

Rules

12 240×	`lower-fma.f32`
12 216×	`lower-fma.f64`
6 200×	`lower-*.f32`
6 180×	`lower-*.f64`
4 812×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	872
0	117	819
1	228	819
2	484	810
3	1535	810
4	3563	810
0	8250	774

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
#s(literal 1/2 binary64)
(asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))))
#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 v v)
v
(fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 1 binary64)
(fma.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)))))
(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))))
#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)
(/.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 (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 (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 (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) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.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 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) #s(literal 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)))
(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 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))
(*.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(literal 1/2 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) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
(cbrt.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
#s(literal 3 binary64)
#s(literal 1/2 binary64)
(asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))))
#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 v v)
v
(fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 1 binary64)
(.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #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 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.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)))) (-.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)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #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 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 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 (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))
#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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
#s(literal 1/8 binary64)
(pow.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)))) #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.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)))) (-.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)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.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)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

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

localize886.0ms (5.6%)

Memory

34.4MiB live, 907.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(pow.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)))) #s(literal 3 binary64))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	8.5%	(fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.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)))) #s(literal 3 binary64)))
✓	accuracy	8.4%	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #s(literal 2 binary64)))
✓	accuracy	99.7%	#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.5%	(asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))))
✓	accuracy	98.4%	(*.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)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.5%	(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))))
✓	accuracy	99.3%	(/.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 (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))))))
✓	accuracy	8.4%	(-.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 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64)))
✓	accuracy	8.3%	(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)))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(fma.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)))))
✓	accuracy	99.5%	(asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))
✓	accuracy	99.4%	#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.7%	#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.5%	(asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))))
✓	accuracy	98.4%	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))

Samples

342.0ms	120×	3	valid
131.0ms	62×	2	valid
109.0ms	66×	1	valid
4.0ms	8×	0	valid

Compiler

Compiled 759 to 70 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 438.0ms

adjust: 95.0ms (21.7% of total)

ival-mult: 88.0ms (20.1% of total)

ival-add: 62.0ms (14.2% of total)

ival-asin: 52.0ms (11.9% of total)

ival-pow: 41.0ms (9.4% of total)

ival-pi: 28.0ms (6.4% of total)

ival-div: 27.0ms (6.2% of total)

ival-pow2: 19.0ms (4.3% of total)

ival-sub: 16.0ms (3.7% of total)

ival-sqrt: 5.0ms (1.1% of total)

ival-cbrt: 4.0ms (0.9% of total)

exact: 1.0ms (0.2% of total)

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

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

series17.0ms (0.1%)

Memory

1.8MiB live, 40.5MiB allocated

Counts

26 → 204

Calls

Call 1

Inputs
#<alt (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))>
#<alt (fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (PI.f64)>
#<alt (fma.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)))))>
#<alt (asin.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 (/.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 (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))))))>
#<alt (-.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 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #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 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))>
#<alt (*.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)))>
#<alt (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) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))>
#<alt (cbrt.f64 (sqrt.f64 (PI.f64)))>
#<alt (-.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)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))>
#<alt (.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #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 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.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)))) (-.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)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))>
#<alt (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #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 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #s(literal 2 binary64)))>
#<alt (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))>
#<alt (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)))))>
#<alt (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))))>
#<alt (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.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)))) #s(literal 3 binary64)))>
#<alt (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))>
#<alt (pow.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)))) #s(literal 3 binary64))>

Outputs
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (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 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 (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (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))) (* 1/2 (PI)))>
#<alt (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (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))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (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))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (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))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (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))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (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))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (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))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (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))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (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))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (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))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (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))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (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))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (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))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<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 (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 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 (+ (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 (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>

Calls

51 calls:

Time	Variable		Point	Expression
4.0ms	v	@	0	(/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 2)) (+ (* (PI) 1/2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
3.0ms	v	@	0	(* (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (+ (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3))) (+ (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (- (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (* (PI) 1/2))) (* (* (PI) (PI)) 1/4)))
2.0ms	v	@	inf	(* (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (+ (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3))) (+ (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (- (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (* (PI) 1/2))) (* (* (PI) (PI)) 1/4)))
1.0ms	v	@	inf	(/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 2)) (+ (* (PI) 1/2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
1.0ms	v	@	inf	(/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (+ (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3)))

simplify668.0ms (4.2%)

Memory

-56.7MiB live, 672.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 156×	`lower-fma.f64`
13 156×	`lower-fma.f32`
5 098×	`lower-*.f64`
5 098×	`lower-*.f32`
2 842×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	4860
1	171	4860
2	317	4860
3	728	4852
4	2055	4852
5	6155	4848
0	8448	4226

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(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)))
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))
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(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (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)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (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)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (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)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (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)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (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)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (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)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (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)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (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)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (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)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (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)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (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)))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 (*.f64 v 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 (*.f64 v 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 (*.f64 v 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 (*.f64 v 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 (*.f64 v 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 (*.f64 v 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 (*.f64 v 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 (*.f64 v 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 (*.f64 v 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 (*.f64 v 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 (*.f64 v 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 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.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)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.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)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.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)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.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)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.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)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.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)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.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)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.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)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.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)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.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)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.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)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.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)))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(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))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(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))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(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))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(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))

rewrite471.0ms (3%)

Memory

15.6MiB live, 962.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 842×	`lower-fma.f32`
6 818×	`lower-fma.f64`
4 950×	`lower-*.f32`
4 930×	`lower-*.f64`
2 300×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	564
0	117	515
1	526	479
2	4056	479
0	8912	470

Stop Event

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

Counts

26 → 947

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (PI.f64))
(PI.f64)
(fma.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)))))
(asin.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)))
(/.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 (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 (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 (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) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(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) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (sqrt.f64 (PI.f64)))
(-.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)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #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 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.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)))) (-.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)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #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 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #s(literal 2 binary64)))
(asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))))
#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 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)))))
(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 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.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)))) #s(literal 3 binary64)))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(pow.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)))) #s(literal 3 binary64))

Outputs
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fabs.f64 (PI.f64))
(fabs.f64 (neg.f64 (PI.f64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
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(/.f64 (neg.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/512 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (.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 9 binary64)))) (neg.f64 (-.f64 (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 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 (.f64 (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))) #s(literal 3 binary64)))))
(/.f64 (neg.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)))) (neg.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)))))
(/.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 6 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 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 3 binary64)) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64))))
(pow.f64 (/.f64 (-.f64 (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 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 (.f64 (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))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/512 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (.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 9 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.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))) (-.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)))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/512 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (.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 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (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 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 (.f64 (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))) #s(literal 3 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) (-.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)))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 6 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/6 binary64) (log.f64 (PI.f64))) #s(literal 18 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 9 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 2 binary64) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64))))
(sqrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(cbrt.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 18 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 9/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 12 binary64))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 3/4 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)) (PI.f64))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(exp.f64 (.f64 #s(literal 3 binary64) (log.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (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 3/2 binary64)))
(exp.f64 (.f64 (log.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 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (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 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (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 3/2 binary64) (.f64 (log.f64 (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 3/2 binary64))))
(/.f64 (pow.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (acos.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))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (acos.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) #s(literal 1/2 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))))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.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 3 binary64)) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 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))))) #s(literal 3 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))
(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 3/2 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 3 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 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (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)))) (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 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 3/2 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 3/2 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 3 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 3 binary64)))

eval445.0ms (2.8%)

Memory: 24.0MiB live, 960.5MiB allocated
Compiler: Compiled 138 098 to 5 990 computations (95.7% saved)

prune364.0ms (2.3%)

Memory

-21.8MiB live, 842.8MiB allocated

Pruning

37 alts after pruning (28 fresh and 9 done)

	Pruned	Kept	Total
New	2 317	19	2 336
Fresh	6	9	15
Picked	1	4	5
Done	0	5	5
Total	2 324	37	2 361

Accuracy

99.7%

Counts

2 361 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.7%	(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)) (/.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 (.f64 (PI.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))))))
	2.7%	(fma.f64 (pow.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)))) #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.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) (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))))))
	95.8%	(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) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))))
✓	96.3%	(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) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))
	94.9%	(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) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) #s(literal 1 binary64))))
	96.9%	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))
	96.9%	(fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))
	97.8%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))))
✓	99.3%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))
	2.4%	(fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* 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)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* 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(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 (.f64 v v) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))))))
	2.4%	(fma.f64 (PI.f64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* 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)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* 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(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 (.f64 v v) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))))))
✓	99.3%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))
✓	98.8%	(fma.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)))))
	2.5%	(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* 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)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* 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(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 (.f64 v v) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))))))
	5.5%	(/.f64 (fma.f64 (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* 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))))) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* 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)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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))))))
	2.7%	(/.f64 (/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/16 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 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 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (pow.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)))) #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)))))))
	2.7%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (pow.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)))) #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))) (exp.f64 (.f64 (log.f64 (/.f64 (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 (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))))) #s(literal -1 binary64))))
✓	2.4%	(/.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 (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))))))
	2.6%	(/.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* 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))))) (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* 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 (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))))))
	2.7%	(/.f64 #s(literal 1 binary64) (/.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 #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 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (pow.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)))) #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)))))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* 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))))))
	2.4%	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))))) (/.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))))))
	2.8%	(.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 (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 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.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)))) #s(literal 3 binary64)))) (fma.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)))) (-.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)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
	19.3%	(.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))) (.f64 (fma.f64 (PI.f64) (.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)) (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 (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 (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) #s(literal 1/2 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
	5.7%	(.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #s(literal 2 binary64))) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) #s(literal 3 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 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 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)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
	2.7%	(.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #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 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.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)))) (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))))
	2.7%	(.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #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 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.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)))) (-.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)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) #s(literal 1/4 binary64))))
	19.3%	(.f64 (/.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 (.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)) (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 (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 (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) #s(literal 1/2 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
	2.7%	(.f64 (/.f64 (.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))) (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) (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))))))
	99.3%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* 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(literal -1 binary64)))
✓	99.5%	(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
	98.0%	(acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx (+ ( v v) -1) #s(literal -1 binary64))))
✓	99.3%	(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))))
✓	98.8%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
	18.8%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* v (* v (+ (* (* v v) 4) 4))) -1) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 4 binary64))))))
✓	97.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
	2.7%	#s(approx (/ (/ (- (* (* (* (PI) (PI)) -1/4) (* (* (PI) (PI)) -1/4)) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 4)) (pow (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) 2)) (/ (- (* (* (PI) (PI)) -1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (neg (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))))) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #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))) (.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 (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))))))

Compiler

Compiled 4 417 to 1 025 computations (76.8% saved)

regimes79.0ms (0.5%)

Memory

-11.9MiB live, 144.1MiB allocated

Counts

57 → 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))))
(fma.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)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* v (* v (+ (* (* v v) 4) 4))) -1) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 4 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))))
(acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx (+ ( v v) -1) #s(literal -1 binary64))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #s(approx (- (* v v) 1) #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 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* 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 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (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)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* 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(literal -1 binary64)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))
(fma.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)))) #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 (.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 (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))) (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 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* 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))))) (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* 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 (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 (fma.f64 (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* 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))))) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* 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)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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)) (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))))) (/.f64 (pow.f64 (asin.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(literal 2 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))))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))))) (/.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* 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)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* 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(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 (.f64 v v) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))))))
(fma.f64 (PI.f64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* 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)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* 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(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 (.f64 v v) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))))))
(fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* 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)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* 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(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 (.f64 v v) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))))))
(fma.f64 #s(literal 1/4 binary64) (/.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))))) (/.f64 (pow.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)))) #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)) (/.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 (.f64 (PI.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))))))
(fma.f64 (pow.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)))) #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 (.f64 (PI.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 #s(approx (/ (+ (* v (* v -5)) 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 (.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)))))))
(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) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) #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))) (/.f64 #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)))) (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 (.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #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) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #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) (asin.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 (.f64 (sqrt.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)))) (sqrt.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)))))
(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) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))))
(fma.f64 (pow.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)))) #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.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) (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))))))
#s(approx (/ (/ (- (* (* (* (PI) (PI)) -1/4) (* (* (PI) (PI)) -1/4)) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 4)) (pow (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) 2)) (/ (- (* (* (PI) (PI)) -1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (neg (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))))) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #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))) (.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 (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)) #s(literal 1/4 binary64)) (pow.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)))) #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 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.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)))) (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 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #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 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.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)))) (-.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)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #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 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.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)))) (-.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)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.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))) (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) (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 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/16 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 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 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (pow.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)))) #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 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (pow.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)))) #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 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (pow.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)))) #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 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (pow.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)))) #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 #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 #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 1 binary64) (/.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 #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 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (pow.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)))) #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 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #s(literal 2 binary64))) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) #s(literal 3 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 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 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)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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))) (.f64 (fma.f64 (PI.f64) (.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)) (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 (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 (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) #s(literal 1/2 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(.f64 (/.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 (.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)) (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 (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 (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) #s(literal 1/2 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (pow.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)))) #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))) (exp.f64 (.f64 (log.f64 (/.f64 (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 (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))))) #s(literal -1 binary64))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (pow.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)))) #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 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (pow.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)))) #s(literal 2 binary64))) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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)))) #s(literal 2 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 (fma.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))))) (/.f64 (.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))))) (neg.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 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (pow.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)))) #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 (/.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 (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 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.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)))) #s(literal 3 binary64)))) (fma.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)))) (-.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)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))

Outputs

(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))

Calls

4 calls:

32.0ms	v
15.0ms	(*.f64 v v)
14.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
13.0ms	(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
99.5%	1	`v`
99.5%	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))))`
99.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
99.5%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes61.0ms (0.4%)

Memory

-11.1MiB live, 36.4MiB allocated

Counts

13 → 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))))
(fma.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)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* v (* v (+ (* (* v v) 4) 4))) -1) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 4 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))))
(acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx (+ ( v v) -1) #s(literal -1 binary64))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #s(approx (- (* v v) 1) #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 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* 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 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))

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

Calls

4 calls:

50.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
4.0ms	v
3.0ms	(*.f64 v v)
3.0ms	(/.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
99.5%	1	`v`
99.5%	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))))`
99.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
99.5%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes10.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

7 → 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))))
(fma.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)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* v (* v (+ (* (* v v) 4) 4))) -1) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 4 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))))
(acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(approx (+ ( v v) -1) #s(literal -1 binary64))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #s(approx (- (* v v) 1) #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:

3.0ms	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
99.3%	1	`v`
99.3%	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))))`
99.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
99.3%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes9.0ms (0.1%)

Memory

-10.1MiB live, 25.8MiB 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))))
(fma.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)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* v (* v (+ (* (* v v) 4) 4))) -1) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 4 binary64))))))

Outputs
(fma.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)))))

Calls

4 calls:

3.0ms	(*.f64 v v)
2.0ms	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
98.8%	1	`v`
98.8%	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))))`
98.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.8%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes6.0ms (0%)

Memory

18.7MiB live, 18.7MiB 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:

2.0ms	v
1.0ms	(*.f64 v 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
98.8%	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))))`
98.8%	1	`v`
98.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.8%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes5.0ms (0%)

Memory

-26.0MiB live, 12.4MiB 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:

2.0ms	(*.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
97.9%	1	`v`
97.9%	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))))`
97.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
97.9%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

simplify7.0ms (0%)

Memory

16.5MiB live, 16.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	118
1	52	118

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))
(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.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))))
(fma.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)))))
(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
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))
(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.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))))
(fma.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)))))
(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)))

soundness771.0ms (4.9%)

Memory

15.5MiB live, 571.0MiB allocated

Rules

16 368×	`lower-fma.f64`
16 368×	`lower-fma.f32`
7 768×	`lower-fma.f64`
7 768×	`lower-fma.f32`
5 838×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	3478
1	230	3460
2	522	3418
3	1220	3410
4	4134	3402
5	7819	3402
0	8389	2980
0	39	480
1	100	474
2	269	470
3	659	470
4	2016	468
5	5113	468
0	8075	421
0	9	44
0	15	44
1	70	44
2	530	44
3	6828	44
0	8012	38
0	40	308
0	70	261
1	298	257
2	2503	248
0	8281	248

Stop Event

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

Compiler

Compiled 207 to 109 computations (47.3% saved)

preprocess51.0ms (0.3%)

Memory: -8.1MiB live, 103.6MiB allocated
Remove: (abs v)
Compiler: Compiled 204 to 110 computations (46.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze348.0ms (2.2%)

sample4.2s (26.7%)

preprocess338.0ms (2.1%)

explain274.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify265.0ms (1.7%)

localize90.0ms (0.6%)

series3.0ms (0%)

simplify320.0ms (2%)

rewrite345.0ms (2.2%)

eval86.0ms (0.5%)

prune101.0ms (0.6%)

simplify233.0ms (1.5%)

localize434.0ms (2.7%)

series21.0ms (0.1%)

simplify484.0ms (3.1%)

rewrite483.0ms (3%)

eval298.0ms (1.9%)

prune259.0ms (1.6%)

simplify301.0ms (1.9%)

localize645.0ms (4.1%)

series65.0ms (0.4%)

simplify556.0ms (3.5%)

rewrite504.0ms (3.2%)

eval424.0ms (2.7%)

prune380.0ms (2.4%)

simplify523.0ms (3.3%)

localize886.0ms (5.6%)

series17.0ms (0.1%)

simplify668.0ms (4.2%)

rewrite471.0ms (3%)

eval445.0ms (2.8%)

prune364.0ms (2.3%)

regimes79.0ms (0.5%)

regimes61.0ms (0.4%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

simplify7.0ms (0%)

soundness771.0ms (4.9%)

preprocess51.0ms (0.3%)

end0.0ms (0%)

Profiling