Metrics for Falkner and Boettcher, Appendix B, 1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze683.0ms (4.9%)

Memory

-13.1MiB live, 389.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample3.8s (27.2%)

Memory

87.2MiB live, 5 254.6MiB allocated

Samples

1.3s	3 701×	3	valid
726.0ms	8 113×	0	invalid
629.0ms	2 074×	2	valid
381.0ms	2 142×	1	valid
23.0ms	339×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.3s

ival-acos: 661.0ms (28.3% of total)

ival-mult: 522.0ms (22.3% of total)

ival-sub: 459.0ms (19.6% of total)

adjust: 382.0ms (16.3% of total)

ival-div: 278.0ms (11.9% of total)

exact: 15.0ms (0.6% of total)

ival-true: 13.0ms (0.6% of total)

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

Bogosity

explain218.0ms (1.6%)

Memory

18.8MiB live, 375.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
12	241	(-6.193712240596102e-131)	-	`(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	253	1

Confusion

	Predicted +	Predicted -
+	12	0
-	241	3

Precision

0.04743083003952569

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	12	0	0
-	241	1	2

Precision?

0.047244094488188976

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

71.0ms	224×	3	valid
32.0ms	142×	2	valid
19.0ms	122×	1	valid
2.0ms	24×	0	valid

Compiler

Compiled 119 to 31 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-acos: 26.0ms (27.7% of total)

adjust: 22.0ms (23.4% of total)

ival-sub: 15.0ms (16% of total)

ival-mult: 15.0ms (16% of total)

ival-div: 14.0ms (14.9% of total)

exact: 1.0ms (1.1% of total)

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

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

preprocess230.0ms (1.6%)

Memory

-6.1MiB live, 193.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 334×	`lower-fma.f64`
4 334×	`lower-fma.f32`
1 144×	`lower-*.f32`
1 142×	`lower-*.f64`
1 070×	`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 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Symmetry

(abs v)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify191.0ms (1.4%)

Memory

-11.8MiB live, 142.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

4 334×	`lower-fma.f64`
4 334×	`lower-fma.f32`
1 144×	`lower-*.f32`
1 142×	`lower-*.f64`
1 070×	`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 (*.f64 #s(literal -5 binary64) v) v #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 (*.f64 #s(literal -5 binary64) v) v #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 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 #s(literal 5 binary64) (.f64 v v))
(.f64 (.f64 v v) #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 v v)
v
(-.f64 (*.f64 v v) #s(literal 1 binary64))
(fma.f64 v v #s(literal -1 binary64))

localize103.0ms (0.7%)

Memory

-1.8MiB live, 74.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 v v)
accuracy	0.015625	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
accuracy	0.17873002930532605	(.f64 #s(literal 5 binary64) (.f64 v v))
accuracy	0.6132293718784793	(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

33.0ms	112×	3	valid
32.0ms	71×	2	valid
9.0ms	61×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 52 to 11 computations (78.8% saved)

Precisions

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

ival-mult: 22.0ms (36.7% of total)

ival-acos: 13.0ms (21.7% of total)

adjust: 10.0ms (16.7% of total)

ival-sub: 8.0ms (13.4% of total)

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

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

6 → 72

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* -5 (pow v 2)) (taylor inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* -5 (pow v 2)) (taylor -inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor -inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor -inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor -inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow v 2) 1) (taylor 0 v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow v 2) 1) (taylor 0 v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow v 2) 1) (taylor 0 v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(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)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(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)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(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)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(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)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(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)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(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)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(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)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(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)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(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)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(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)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(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)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(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)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow v 2)) 1) (taylor 0 v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) (taylor 0 v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) (taylor 0 v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -5 (taylor inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) (taylor inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) (taylor inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) (taylor inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -5 (taylor -inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) (taylor -inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) (taylor -inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) (taylor -inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor 0 v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor 0 v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor 0 v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor 0 v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor inf v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor inf v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor inf v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor inf v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 5 binary64) (.f64 v v)) (patch (.f64 #s(literal 5 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())

Calls

18 calls:

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

simplify189.0ms (1.3%)

Memory

3.2MiB live, 119.3MiB allocated

Algorithm

1×	egg-herbie

Rules

3 884×	`lower-fma.f64`
3 884×	`lower-fma.f32`
2 106×	`lower-*.f64`
2 106×	`lower-*.f32`
963×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite321.0ms (2.3%)

Memory

29.4MiB live, 263.7MiB allocated

Rules

2 478×	`lower-fma.f64`
2 478×	`lower-fma.f32`
2 292×	`lower-*.f32`
2 290×	`lower-*.f64`
1 753×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 607

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 #s(literal -25 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 (.f64 v v) v) v)) (.f64 v v) #s(literal 1 binary64))) (fma.f64 (.f64 v v) (-.f64 (.f64 #s(literal 25 binary64) (.f64 v v)) #s(literal 5 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -125 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64))) (.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal -125 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64))) (.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)))) (.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64))) (-.f64 (.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -25 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64)) (fma.f64 #s(literal -25 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64))) (fma.f64 #s(literal -25 binary64) (.f64 (.f64 (*.f64 v v) v) v) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -125 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal -25 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal -125 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 #s(literal -25 binary64) (.f64 (.f64 (.f64 v v) 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))) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal -25 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -125 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal -125 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 625 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 (.f64 v v) v)) v))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 (.f64 #s(literal 25 binary64) (.f64 v v)) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 15625 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 25 binary64) (.f64 (.f64 v v) v)) v) (fma.f64 (.f64 #s(literal 25 binary64) (.f64 v v)) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 15625 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))) (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 (.f64 v v) v) v)) (.f64 v v) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1953125 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v)) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 (.f64 v v) v) v)) (.f64 v v)) (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 (.f64 v v) v) v)) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.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 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)))) (.f64 (.f64 (.f64 #s(literal 25 binary64) (.f64 v v)) (/.f64 (.f64 v v) (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 25 binary64) (.f64 v v)) (/.f64 (.f64 v v) (fma.f64 (.f64 v #s(literal 5 binary64)) 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 (.f64 #s(literal 25 binary64) (.f64 v v)) (/.f64 (.f64 v v) (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (/.f64 (.f64 (.f64 v v) v) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (/.f64 (.f64 (.f64 v v) v) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) (.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (/.f64 (.f64 (.f64 v v) v) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 25 binary64) (.f64 (.f64 v v) v)) v) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 #s(literal -5 binary64) v) v) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 25 binary64) (.f64 v v)) (/.f64 (.f64 v v) (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.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 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 #s(literal 25 binary64) (.f64 v v)) (/.f64 (.f64 v v) (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 25 binary64) (.f64 v v)) (/.f64 (.f64 v v) (fma.f64 (.f64 v #s(literal 5 binary64)) 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 (.f64 #s(literal 25 binary64) (.f64 v v)) (/.f64 (.f64 v v) (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (/.f64 (.f64 (.f64 v v) v) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (/.f64 (.f64 (.f64 v v) v) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (/.f64 (.f64 (.f64 v v) v) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) (.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 v v) v)) (/.f64 (.f64 (.f64 v v) v) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -25 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -25 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64)))) (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -125 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -125 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v) #s(literal 1 binary64)))) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 625 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 (.f64 v v) v)) v))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 25 binary64) (.f64 v v)) (.f64 v v) #s(literal 1 binary64)) (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 15625 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 #s(literal 25 binary64) (.f64 (.f64 v v) v)) v) (fma.f64 (.f64 #s(literal 25 binary64) (.f64 v v)) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 15625 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 (.f64 v v) v) v)) (.f64 v v) #s(literal 1 binary64)) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1953125 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v)) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 (.f64 v v) v) v)) (.f64 v v)) (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 (.f64 v v) v) v)) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal -25 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal -125 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v) #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal 1 binary64)) (.f64 (.f64 #s(literal 25 binary64) (.f64 (.f64 v v) v)) v))) (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal 1 binary64)) (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 (.f64 v v) v) v)) (.f64 v v)))) (.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 625 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 (.f64 v v) v)) v))) (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 25 binary64) (.f64 v v)) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1953125 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v)) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v)))) (.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 (.f64 v v) v) v)) (.f64 v v)) (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 (.f64 v v) v) v)) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 15625 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v)))) (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 #s(literal 25 binary64) (.f64 (.f64 v v) v)) v) (fma.f64 (.f64 #s(literal 25 binary64) (.f64 v v)) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 15625 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v)))) (.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 125 binary64) (.f64 (.f64 (.f64 v v) v) v)) (.f64 v v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -25 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64))) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -125 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) v) v) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -25 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64))))
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(+.f64 (.f64 (.f64 v v) (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) v) v #s(literal -1 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 (.f64 (*.f64 v v) v) v #s(literal -1 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) v) v #s(literal -1 binary64)))) (.f64 (.f64 v v) (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 (.f64 (*.f64 v v) v) v #s(literal -1 binary64)))))
(+.f64 (.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v) #s(literal -1 binary64)))) (.f64 (.f64 v v) (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) v) (.f64 (*.f64 v v) v) #s(literal -1 binary64)))))
(+.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v) #s(literal -1 binary64)))) (.f64 (.f64 (.f64 (.f64 v v) v) v) (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) v) (.f64 (*.f64 v v) v) #s(literal -1 binary64)))))
(+.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v) #s(literal -1 binary64)))) (.f64 (fma.f64 v v #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) v) (.f64 (*.f64 v v) v) #s(literal -1 binary64)))))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) v) v #s(literal -1 binary64))) (.f64 v v)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 (.f64 (*.f64 v v) v) v #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) v) v #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) v) v #s(literal -1 binary64))) (*.f64 v v)))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v) #s(literal -1 binary64))) (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v) #s(literal -1 binary64))) (*.f64 v v)))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v) #s(literal -1 binary64))) (fma.f64 v v #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v) #s(literal -1 binary64))) (.f64 (.f64 (*.f64 v v) v) v)))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v) #s(literal -1 binary64))) (.f64 (.f64 (.f64 v v) v) v)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) v) (.f64 (*.f64 v v) v) #s(literal -1 binary64))) (fma.f64 v v #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (.f64 (*.f64 #s(literal -5 binary64) v) v)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 #s(literal -5 binary64) v) (/.f64 v (fma.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) (fma.f64 v v #s(literal -1 binary64))) (.f64 (.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (.f64 (*.f64 #s(literal -5 binary64) v) v)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (.f64 (.f64 #s(literal -5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))))
(.f64 (neg.f64 (.f64 #s(literal -5 binary64) v)) v)
(.f64 (neg.f64 (.f64 (neg.f64 v) v)) #s(literal 5 binary64))
(.f64 (.f64 #s(literal -5 binary64) v) (neg.f64 v))
(.f64 (.f64 (neg.f64 v) v) #s(literal -5 binary64))
(.f64 (.f64 v #s(literal 5 binary64)) (neg.f64 (neg.f64 v)))
(.f64 (.f64 v #s(literal 5 binary64)) v)
(.f64 #s(literal -5 binary64) (.f64 (neg.f64 v) v))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 #s(literal -5 binary64) v) v))
(.f64 (.f64 (*.f64 v #s(literal 5 binary64)) v) #s(literal 1 binary64))
(.f64 (.f64 v v) #s(literal 5 binary64))
(.f64 v (.f64 v #s(literal 5 binary64)))
(.f64 #s(literal 5 binary64) (neg.f64 (.f64 (neg.f64 v) v)))
(.f64 #s(literal 5 binary64) (.f64 v v))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 v #s(literal 5 binary64)) v))
(neg.f64 (.f64 (.f64 #s(literal -5 binary64) v) v))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -5 binary64) v) v))
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))
(.f64 (.f64 v v) #s(literal 1 binary64))
(*.f64 v v)
(.f64 #s(literal 1 binary64) (.f64 v v))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))

eval214.0ms (1.5%)

Memory: -0.9MiB live, 155.2MiB allocated
Compiler: Compiled 21 829 to 2 167 computations (90.1% saved)

prune89.0ms (0.6%)

Memory

-19.8MiB live, 219.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	693	6	699
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	694	6	700

Accuracy

99.0%

Counts

700 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) 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 (.f64 #s(literal -5 binary64) 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 (.f64 #s(literal -5 binary64) 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))))
▶	99.0%	(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
▶	99.0%	(acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
▶	98.6%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64))))
▶	98.3%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
▶	97.4%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 224 to 118 computations (47.3% saved)

simplify333.0ms (2.4%)

Memory

30.8MiB live, 185.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 v #s(literal 5 binary64))
cost-diff	0	(fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64))
cost-diff	0	(acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff	320	(.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
cost-diff	0	(*.f64 (fma.f64 v v #s(literal 1 binary64)) v)
cost-diff	0	(fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))
cost-diff	0	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64))))
cost-diff	0	(*.f64 #s(literal 4 binary64) v)
cost-diff	0	(fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))
cost-diff	0	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
cost-diff	0	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
cost-diff	0	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
cost-diff	0	(*.f64 #s(literal -5 binary64) v)
cost-diff	0	(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
cost-diff	0	(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Rules

4 296×	`lower-fma.f32`
4 290×	`lower-fma.f64`
1 583×	`lower-*.f32`
1 578×	`lower-*.f64`
996×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	253
0	54	237
1	99	237
2	186	233
3	447	233
4	1104	233
5	2202	233
6	3687	233
7	4971	233
8	6881	233
0	8337	230

Stop Event

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

Calls

Call 1

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

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

localize311.0ms (2.2%)

Memory

-30.4MiB live, 424.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 v #s(literal 5 binary64))
accuracy	0.00390625	(/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.021816259768442016	(.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.6132293718784793	(acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	0	(*.f64 #s(literal 4 binary64) v)
accuracy	0.01171875	(*.f64 (fma.f64 v v #s(literal 1 binary64)) v)
accuracy	0.26896685912176066	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))
accuracy	0.6132293718784793	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64))))
accuracy	0	(fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))
accuracy	0	(*.f64 #s(literal 4 binary64) v)
accuracy	0.44350383997151166	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))
accuracy	0.6132293718784793	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
accuracy	0.6132293718784793	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
accuracy	0.9555421159709995	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
accuracy	0	(fma.f64 v v #s(literal -1 binary64))
accuracy	0	(*.f64 #s(literal -5 binary64) v)
accuracy	0.015625	(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.6132293718784793	(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Samples

153.0ms	112×	3	valid
65.0ms	71×	2	valid
43.0ms	61×	1	valid
3.0ms	12×	0	valid

Compiler

Compiled 231 to 33 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 201.0ms

ival-acos: 80.0ms (39.9% of total)

ival-mult: 41.0ms (20.4% of total)

adjust: 38.0ms (18.9% of total)

ival-div: 18.0ms (9% of total)

ival-add: 16.0ms (8% of total)

ival-sub: 7.0ms (3.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series16.0ms (0.1%)

Memory

5.0MiB live, 43.5MiB allocated

Counts

20 → 240

Calls

Call 1

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

Outputs
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow v 2)) 1) (taylor 0 v) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) (taylor 0 v) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) (taylor 0 v) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -5 (taylor inf v) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) (taylor inf v) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) (taylor inf v) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) (taylor inf v) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -5 (taylor -inf v) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) (taylor -inf v) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) (taylor -inf v) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) (taylor -inf v) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5 (pow v 2)) (taylor inf v) (#s(alt (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor inf v) (#s(alt (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor inf v) (#s(alt (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor inf v) (#s(alt (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5 (pow v 2)) (taylor -inf v) (#s(alt (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor -inf v) (#s(alt (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor -inf v) (#s(alt (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor -inf v) (#s(alt (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5 v) (taylor 0 v) (#s(alt (.f64 #s(literal -5 binary64) v) (patch (.f64 #s(literal -5 binary64) v) #<representation binary64>) () ())) ())
#s(alt (* -5 v) (taylor 0 v) (#s(alt (.f64 #s(literal -5 binary64) v) (patch (.f64 #s(literal -5 binary64) v) #<representation binary64>) () ())) ())
#s(alt (* -5 v) (taylor 0 v) (#s(alt (.f64 #s(literal -5 binary64) v) (patch (.f64 #s(literal -5 binary64) v) #<representation binary64>) () ())) ())
#s(alt (* -5 v) (taylor 0 v) (#s(alt (.f64 #s(literal -5 binary64) v) (patch (.f64 #s(literal -5 binary64) v) #<representation binary64>) () ())) ())
#s(alt (* -5 v) (taylor inf v) (#s(alt (.f64 #s(literal -5 binary64) v) (patch (.f64 #s(literal -5 binary64) v) #<representation binary64>) () ())) ())
#s(alt (* -5 v) (taylor inf v) (#s(alt (.f64 #s(literal -5 binary64) v) (patch (.f64 #s(literal -5 binary64) v) #<representation binary64>) () ())) ())
#s(alt (* -5 v) (taylor inf v) (#s(alt (.f64 #s(literal -5 binary64) v) (patch (.f64 #s(literal -5 binary64) v) #<representation binary64>) () ())) ())
#s(alt (* -5 v) (taylor inf v) (#s(alt (.f64 #s(literal -5 binary64) v) (patch (.f64 #s(literal -5 binary64) v) #<representation binary64>) () ())) ())
#s(alt (* -5 v) (taylor -inf v) (#s(alt (.f64 #s(literal -5 binary64) v) (patch (.f64 #s(literal -5 binary64) v) #<representation binary64>) () ())) ())
#s(alt (* -5 v) (taylor -inf v) (#s(alt (.f64 #s(literal -5 binary64) v) (patch (.f64 #s(literal -5 binary64) v) #<representation binary64>) () ())) ())
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#s(alt (acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (taylor 0 v) (#s(alt (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) (patch (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (taylor 0 v) (#s(alt (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) (patch (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (taylor 0 v) (#s(alt (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) (patch (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (taylor 0 v) (#s(alt (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) (patch (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (taylor inf v) (#s(alt (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) (patch (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (taylor inf v) (#s(alt (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) (patch (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (taylor inf v) (#s(alt (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) (patch (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (taylor inf v) (#s(alt (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) (patch (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (taylor -inf v) (#s(alt (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) (patch (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (taylor -inf v) (#s(alt (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) (patch (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (taylor -inf v) (#s(alt (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) (patch (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (taylor -inf v) (#s(alt (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) (patch (acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (patch (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 5 (pow v 2)) 1) (taylor 0 v) (#s(alt (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (patch (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 5 (pow v 2)) 1) (taylor 0 v) (#s(alt (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (patch (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 5 (pow v 2)) 1) (taylor 0 v) (#s(alt (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (patch (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor inf v) (#s(alt (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (patch (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow v 2) (- 5 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (patch (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 5 (pow v 2)) (taylor -inf v) (#s(alt (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (patch (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 5 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (patch (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 5 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (patch (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 5 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (patch (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 v) (taylor 0 v) (#s(alt (.f64 v #s(literal 5 binary64)) (patch (.f64 v #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 v) (taylor 0 v) (#s(alt (.f64 v #s(literal 5 binary64)) (patch (.f64 v #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 v) (taylor 0 v) (#s(alt (.f64 v #s(literal 5 binary64)) (patch (.f64 v #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 v) (taylor 0 v) (#s(alt (.f64 v #s(literal 5 binary64)) (patch (.f64 v #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 v) (taylor inf v) (#s(alt (.f64 v #s(literal 5 binary64)) (patch (.f64 v #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 v) (taylor inf v) (#s(alt (.f64 v #s(literal 5 binary64)) (patch (.f64 v #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 v) (taylor inf v) (#s(alt (.f64 v #s(literal 5 binary64)) (patch (.f64 v #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 v) (taylor inf v) (#s(alt (.f64 v #s(literal 5 binary64)) (patch (.f64 v #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 v) (taylor -inf v) (#s(alt (.f64 v #s(literal 5 binary64)) (patch (.f64 v #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 v) (taylor -inf v) (#s(alt (.f64 v #s(literal 5 binary64)) (patch (.f64 v #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 v) (taylor -inf v) (#s(alt (.f64 v #s(literal 5 binary64)) (patch (.f64 v #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 v) (taylor -inf v) (#s(alt (.f64 v #s(literal 5 binary64)) (patch (.f64 v #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt (fma.f64 v v #s(literal -1 binary64)) (patch (fma.f64 v v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (- (pow v 2) 1) (taylor 0 v) (#s(alt (fma.f64 v v #s(literal -1 binary64)) (patch (fma.f64 v v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow v 2) 1) (taylor 0 v) (#s(alt (fma.f64 v v #s(literal -1 binary64)) (patch (fma.f64 v v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (fma.f64 v v #s(literal -1 binary64)) (patch (fma.f64 v v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (fma.f64 v v #s(literal -1 binary64)) (patch (fma.f64 v v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (fma.f64 v v #s(literal -1 binary64)) (patch (fma.f64 v v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (fma.f64 v v #s(literal -1 binary64)) (patch (fma.f64 v v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (fma.f64 v v #s(literal -1 binary64)) (patch (fma.f64 v v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (fma.f64 v v #s(literal -1 binary64)) (patch (fma.f64 v v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (fma.f64 v v #s(literal -1 binary64)) (patch (fma.f64 v v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (fma.f64 v v #s(literal -1 binary64)) (patch (fma.f64 v v #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow v 2)) (taylor 0 v) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow v 2) (+ 1 (pow v 2)))) (taylor 0 v) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow v 2) (+ 1 (* (pow v 2) (+ 1 (pow v 2)))))) (taylor 0 v) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow v 2)) (taylor inf v) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) (taylor inf v) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2)) (taylor inf v) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2)) (taylor inf v) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow v 2)) (taylor -inf v) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) (taylor -inf v) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2)) (taylor -inf v) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2)) (taylor -inf v) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())

Calls

60 calls:

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

simplify207.0ms (1.5%)

Memory

3.5MiB live, 276.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 110×	`lower-fma.f64`
7 110×	`lower-fma.f32`
2 396×	`lower-*.f64`
2 396×	`lower-*.f32`
872×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	2192
1	207	2134
2	540	2094
3	1741	2076
4	4929	2076
0	8428	1863

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 239

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)
(- (* 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)
(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))))
v
(* v (+ 1 (pow v 2)))
(* v (+ 1 (pow v 2)))
(* v (+ 1 (pow v 2)))
(pow v 3)
(* (pow v 3) (+ 1 (/ 1 (pow v 2))))
(* (pow v 3) (+ 1 (/ 1 (pow v 2))))
(* (pow v 3) (+ 1 (/ 1 (pow v 2))))
(pow v 3)
(* (pow v 3) (+ 1 (/ 1 (pow v 2))))
(* (pow v 3) (+ 1 (/ 1 (pow v 2))))
(* (pow v 3) (+ 1 (/ 1 (pow v 2))))
-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)) 1) (- (pow v 2) 1))))
(acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (* -1 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (* -1 (/ (- (* 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))))
(* 5 v)
(* 5 v)
(* 5 v)
(* 5 v)
(* 5 v)
(* 5 v)
(* 5 v)
(* 5 v)
(* 5 v)
(* 5 v)
(* 5 v)
(* 5 v)
-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
(+ 1 (pow v 2))
(+ 1 (* (pow v 2) (+ 1 (pow v 2))))
(+ 1 (* (pow v 2) (+ 1 (* (pow v 2) (+ 1 (pow v 2))))))
(/ -1 (pow v 2))
(* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))
(/ -1 (pow v 2))
(* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))

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

rewrite271.0ms (1.9%)

Memory

-6.2MiB live, 389.0MiB allocated

Rules

2 328×	`lower-fma.f32`
2 322×	`lower-fma.f64`
2 119×	`lower-/.f32`
2 117×	`lower-/.f64`
1 835×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	227
0	54	211
1	215	211
2	1509	207
0	8767	207

Stop Event

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

Counts

20 → 1 122

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #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)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (neg.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (neg.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #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)) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) 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 (*.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #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)) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) 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))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #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)) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) 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)) (neg.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) 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 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #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)) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #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)) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) 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 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #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 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 v 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 (/.f64 (fma.f64 (.f64 v 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 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (.f64 v v) v) v (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 v v) (.f64 v v) #s(literal -1 binary64))) (neg.f64 (fma.f64 v v #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (neg.f64 (*.f64 v v))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 v v) v) v (fma.f64 v v #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v) #s(literal 1 binary64)))) (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 v v) v) v (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (-.f64 v #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)))
(.f64 (/.f64 (fma.f64 #s(literal 125 binary64) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v) (fma.f64 (.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 25 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal -1 binary64)) (neg.f64 (+.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))))
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eval228.0ms (1.6%)

Memory: 6.2MiB live, 446.0MiB allocated
Compiler: Compiled 43 941 to 3 128 computations (92.9% saved)

prune216.0ms (1.5%)

Memory

27.9MiB live, 265.5MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 471	3	1 474
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	1 471	9	1 480

Accuracy

99.0%

Counts

1 480 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) 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 (.f64 #s(literal -5 binary64) 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 (.f64 #s(literal -5 binary64) 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))))
▶	98.6%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64))))))))
▶	98.3%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))))
▶	2.0%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))
✓	99.0%	(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	99.0%	(acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
✓	98.6%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64))))
✓	98.3%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
✓	97.4%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 258 to 121 computations (53.1% saved)

simplify450.0ms (3.2%)

Memory

-229.0MiB live, 192.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
cost-diff	0	(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))
cost-diff	0	(-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) 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)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) 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 (.f64 #s(literal -5 binary64) 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 (.f64 #s(literal -5 binary64) 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))))
cost-diff	0	(-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64))))))))
cost-diff	320	(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))))))
cost-diff	6592	(+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64))))))
cost-diff	0	(-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64)))
cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))))
cost-diff	320	(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))))
cost-diff	6592	(+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))
cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)))
cost-diff	320	(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
cost-diff	14976	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))

Rules

4 771×	`lower-fma.f32`
4 761×	`lower-fma.f64`
2 067×	`lower-*.f32`
2 056×	`lower-*.f64`
875×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	1228
0	105	1152
1	211	1113
2	435	1098
3	888	1098
4	1840	1073
5	3449	1071
6	5880	1071
0	8032	1050

Stop Event

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

Calls

Call 1

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

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

localize503.0ms (3.6%)

Memory

33.9MiB live, 693.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.9609375	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) 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 (.f64 #s(literal -5 binary64) 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 (.f64 #s(literal -5 binary64) 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))))
accuracy	0.978847509768442	(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
accuracy	1.0	(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
accuracy	58.23492308665628	(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	0.9609375	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64))))))))
accuracy	0.978847509768442	(pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64))
accuracy	1.0	(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
accuracy	58.30536375137532	(+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64))))))
accuracy	0.9609375	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))))
accuracy	0.978847509768442	(pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64))
accuracy	1.0	(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
accuracy	58.30536375137532	(+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))
accuracy	0.44350383997151166	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))
accuracy	0.6673972112008224	(asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
accuracy	58.22371345773709	(-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)))
accuracy	58.23492308665628	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))

Samples

167.0ms	90×	2	valid
147.0ms	159×	1	valid
3.0ms	7×	0	valid

Compiler

Compiled 973 to 56 computations (94.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 249.0ms

ival-asin: 75.0ms (30.1% of total)

ival-mult: 44.0ms (17.7% of total)

adjust: 37.0ms (14.8% of total)

ival-pow: 27.0ms (10.8% of total)

ival-add: 20.0ms (8% of total)

ival-div: 19.0ms (7.6% of total)

ival-sub: 15.0ms (6% of total)

ival-pow2: 7.0ms (2.8% of total)

ival-pi: 3.0ms (1.2% of total)

exact: 1.0ms (0.4% of total)

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

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

series68.0ms (0.5%)

Memory

-1.5MiB live, 77.2MiB allocated

Counts

23 → 228

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) (patch (/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (patch (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64))) (patch (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (PI.f64) #s(literal 1/2 binary64)) (patch (.f64 (PI.f64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) (patch (+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))) (patch (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))))) (patch (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64))) (patch (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64))) #<representation binary64>) () ())
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Outputs
#s(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)))) (taylor 0 v) (#s(alt (/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) (patch (/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 v) (#s(alt (/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) (patch (/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 v) (#s(alt (/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) (patch (/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 v) (#s(alt (/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) (patch (/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf v) (#s(alt (/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) (patch (/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf v) (#s(alt (/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) (patch (/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
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#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor 0 v) (#s(alt (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor 0 v) (#s(alt (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor 0 v) (#s(alt (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor inf v) (#s(alt (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor inf v) (#s(alt (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor inf v) (#s(alt (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor inf v) (#s(alt (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor -inf v) (#s(alt (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor -inf v) (#s(alt (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor -inf v) (#s(alt (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor -inf v) (#s(alt (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor 0 v) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor 0 v) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor 0 v) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor 0 v) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor inf v) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor inf v) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor inf v) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor inf v) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor 0 v) (#s(alt (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor 0 v) (#s(alt (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor 0 v) (#s(alt (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor 0 v) (#s(alt (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor inf v) (#s(alt (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor inf v) (#s(alt (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor inf v) (#s(alt (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor inf v) (#s(alt (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor -inf v) (#s(alt (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor -inf v) (#s(alt (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor -inf v) (#s(alt (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor -inf v) (#s(alt (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())

Calls

57 calls:

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

simplify271.0ms (1.9%)

Memory

24.2MiB live, 360.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 885×	`lower-fma.f64`
7 885×	`lower-fma.f32`
1 998×	`lower-*.f64`
1 998×	`lower-*.f32`
1 206×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	6810
1	182	6804
2	393	6800
3	848	6800
4	1924	6798
5	4359	6798
6	7618	6798
0	8175	5917

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (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)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
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(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
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(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
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(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
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(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
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(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
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(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
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(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
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(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-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)))))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
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(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
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(+ (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)))
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(+ (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))) 3)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)

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

rewrite429.0ms (3.1%)

Memory

-18.4MiB live, 582.1MiB allocated

Rules

3 996×	`lower-fma.f32`
3 986×	`lower-fma.f64`
2 367×	`lower-*.f32`
2 356×	`lower-*.f64`
1 464×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	820
0	105	717
1	490	601
2	3927	601
0	8173	595

Stop Event

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

Counts

23 → 861

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (-.f64 (.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (pow.f64 (.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 6 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))) (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (fma.f64 (pow.f64 (.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 4 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (pow.f64 (.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) #s(literal 3 binary64)))) (fma.f64 (.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) (-.f64 (.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) (-.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64)))
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(/.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) #s(literal 3 binary64)))
(exp.f64 (fma.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #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 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 binary64)))

eval349.0ms (2.5%)

Memory: -7.2MiB live, 469.7MiB allocated
Compiler: Compiled 89 920 to 3 404 computations (96.2% saved)

prune306.0ms (2.2%)

Memory

8.8MiB live, 415.4MiB allocated

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1 533	19	1 552
Fresh	0	0	0
Picked	4	0	4
Done	0	5	5
Total	1 537	24	1 561

Accuracy

99.1%

Counts

1 561 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.0%	(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))
▶	2.7%	(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))
	5.1%	(/.f64 (fma.f64 (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) (.f64 #s(literal 1/4 binary64) (.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 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))
	2.7%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) 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 (.f64 #s(literal -5 binary64) 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 (.f64 #s(literal -5 binary64) 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))))
	2.4%	(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64))))))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))))))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64))))))))))
	4.2%	(/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) 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 (.f64 #s(literal -5 binary64) 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 (.f64 #s(literal -5 binary64) 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))))
	3.6%	(/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))))
	5.1%	(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))
	96.1%	(/.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) 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 (.f64 #s(literal -5 binary64) 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 (.f64 #s(literal -5 binary64) 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))))
	97.5%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (PI.f64) (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) 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 (.f64 #s(literal -5 binary64) 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 (.f64 #s(literal -5 binary64) 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))))
▶	98.6%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64))))))))
	97.1%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) (PI.f64))) (.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64))))))))
▶	97.1%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (pow.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64))))))))
	98.3%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))))
	96.8%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))))
	5.1%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 6 binary64))) (.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (fma.f64 (pow.f64 (.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 4 binary64)))))))
	3.6%	(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 6 binary64))) (.f64 (fma.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
▶	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
▶	97.1%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64)))
✓	99.0%	(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	99.0%	(acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
✓	98.6%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64))))
✓	98.3%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
✓	97.4%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 2 647 to 988 computations (62.7% saved)

simplify184.0ms (1.3%)

Memory

32.8MiB live, 215.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
cost-diff	0	(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))
cost-diff	0	(-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (pow.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64))))))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64))))))))
cost-diff	128	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64)))
cost-diff	7040	(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
cost-diff	0	(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
cost-diff	0	(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))
cost-diff	0	(-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64))))))))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 #s(literal 1/4 binary64) (PI.f64))
cost-diff	0	(fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64))))
cost-diff	0	(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))
cost-diff	0	(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
cost-diff	0	(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))

Rules

3 534×	`lower-fma.f32`
3 522×	`lower-fma.f64`
2 221×	`lower-*.f32`
2 207×	`lower-*.f64`
654×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	1844
0	126	1726
1	233	1690
2	429	1631
3	889	1631
4	1959	1631
5	3545	1631
6	5968	1631
0	8091	1581

Stop Event

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

Calls

Call 1

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

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

localize893.0ms (6.4%)

Memory

-1.4MiB live, 1 298.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.0	(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
accuracy	1.0	(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	58.23492308665622	(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))))
accuracy	0.6673972112008224	(asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64))))
accuracy	0.978847509768442	(pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
accuracy	1.0	(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
accuracy	58.23492308665622	(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))))
accuracy	0.9609375	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64))))))))
accuracy	0.978847509768442	(pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64))
accuracy	1.0	(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
accuracy	58.23492308665622	(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))))
accuracy	0.44350383997151166	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))
accuracy	0.6673972112008222	(asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
accuracy	58.23492308665628	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))
accuracy	60.03376385404945	(fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64))))
accuracy	0.015625	(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
accuracy	0.6132293718784793	(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Samples

302.0ms	112×	3	valid
179.0ms	68×	2	valid
75.0ms	68×	1	valid
4.0ms	8×	0	valid

Compiler

Compiled 1 315 to 72 computations (94.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 451.0ms

ival-mult: 108.0ms (23.9% of total)

adjust: 103.0ms (22.8% of total)

ival-div: 68.0ms (15.1% of total)

ival-pow: 41.0ms (9.1% of total)

ival-add: 38.0ms (8.4% of total)

ival-acos: 29.0ms (6.4% of total)

ival-asin: 21.0ms (4.7% of total)

ival-pow2: 17.0ms (3.8% of total)

ival-sub: 12.0ms (2.7% of total)

ival-cbrt: 7.0ms (1.6% of total)

ival-neg: 3.0ms (0.7% of total)

ival-pi: 2.0ms (0.4% of total)

exact: 1.0ms (0.2% of total)

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

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

series34.0ms (0.2%)

Memory

9.3MiB live, 81.9MiB allocated

Counts

26 → 240

Calls

Call 1

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

Outputs
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (taylor inf v) (#s(alt (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (taylor inf v) (#s(alt (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (taylor inf v) (#s(alt (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (taylor inf v) (#s(alt (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (taylor -inf v) (#s(alt (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (taylor -inf v) (#s(alt (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (taylor -inf v) (#s(alt (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (taylor -inf v) (#s(alt (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (patch (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (patch (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())

Calls

60 calls:

Time	Variable		Point	Expression
6.0ms	v	@	inf	(/ 1 (- (* 1/8 (* (* (PI) (PI)) (PI))) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)))
1.0ms	v	@	0	(/ (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (+ (* (* (PI) (PI)) 1/4) (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (+ (* 1/2 (PI)) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))
1.0ms	v	@	inf	(/ 1 (+ (* (* 1/4 (PI)) (PI)) (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (+ (* 1/2 (PI)) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))
1.0ms	v	@	0	(/ 1 (+ (* (* 1/4 (PI)) (PI)) (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (+ (* 1/2 (PI)) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))
1.0ms	v	@	0	(/ 1 (- (* 1/8 (* (* (PI) (PI)) (PI))) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)))

simplify232.0ms (1.7%)

Memory

6.3MiB live, 367.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 885×	`lower-fma.f64`
7 885×	`lower-fma.f32`
1 999×	`lower-*.f64`
1 999×	`lower-*.f32`
1 206×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	6228
1	143	6216
2	355	6208
3	803	6208
4	1880	6204
5	4320	6204
6	7588	6204
0	8124	5426

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 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)))
(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 (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ 1 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ 1 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ 1 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ 1 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ 1 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ 1 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ 1 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ 1 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ 1 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ 1 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ 1 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ 1 (+ (* 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 (+ (* 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 (+ (* 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 (+ (* 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 (+ (* 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 (+ (* 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 (+ (* 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 (+ (* 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 (+ (* 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 (+ (* 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 (+ (* 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 (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 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))))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-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)))))
(+ (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))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))

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

rewrite455.0ms (3.2%)

Memory

3.5MiB live, 819.1MiB allocated

Rules

3 385×	`lower-fma.f32`
3 373×	`lower-fma.f64`
2 772×	`lower-*.f32`
2 758×	`lower-*.f64`
1 188×	`lower-pow.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	68	824
0	126	734
1	537	503
2	3410	503
0	9000	503

Stop Event

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

Counts

26 → 1 167

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
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(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64))))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64)))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/9 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))
(pow.f64 (PI.f64) #s(literal 1/3 binary64))
(cbrt.f64 (PI.f64))
(sqrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(fabs.f64 (cbrt.f64 (PI.f64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64)) (pow.f64 (PI.f64) #s(literal 4/3 binary64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 11/3 binary64)) (cbrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 10/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) (pow.f64 (PI.f64) #s(literal 8/3 binary64)))
(.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (PI.f64)) #s(literal 1 binary64))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (PI.f64))
(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (PI.f64)))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 12 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 3 binary64))
(pow.f64 (.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 4/3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))
(pow.f64 (PI.f64) #s(literal 4 binary64))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 3 binary64) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 4 binary64) (log.f64 (PI.f64))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (PI.f64))))

eval821.0ms (5.9%)

Memory: -16.1MiB live, 1 282.2MiB allocated
Compiler: Compiled 288 810 to 9 370 computations (96.8% saved)

prune640.0ms (4.6%)

Memory

12.9MiB live, 1 124.6MiB allocated

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	3 360	13	3 373
Fresh	9	5	14
Picked	2	3	5
Done	0	5	5
Total	3 371	26	3 397

Accuracy

99.2%

Counts

3 397 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.5%	(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	2.0%	(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))
✓	2.7%	(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #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 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))
	2.7%	(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))
	5.1%	(/.f64 (fma.f64 (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))
	2.9%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 6 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (neg.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64))))))))
	2.9%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 6 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (neg.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))))) (fma.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (pow.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64))))))))
	97.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64))))))))
	2.4%	(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64))))))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))))))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64))))))))))
	3.6%	(/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))))
	95.7%	(/.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64))))))))
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	3.8%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64))))) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) (.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)))))))))
	3.8%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64))))) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)))))))))
✓	98.6%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64))))))))
	98.3%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))))))
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✓	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	96.3%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64)))
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✓	99.0%	(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	99.0%	(acos.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
✓	98.6%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64))))
✓	98.3%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
✓	97.4%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 4 725 to 897 computations (81% saved)

regimes54.0ms (0.4%)

Memory

12.2MiB live, 119.1MiB allocated

Counts

42 → 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 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) v) (.f64 #s(literal 4 binary64) v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64))))) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)))))))))
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(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 v v) #s(literal -1 binary64)))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64))))) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64))))) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64))))) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64))))) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64))))) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64))))) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) #s(literal 3 binary64)))) #s(literal -1 binary64)))

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

Calls

4 calls:

14.0ms	(*.f64 v v)
14.0ms	v
12.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
9.0ms	(/.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
99.0%	1	`v`
99.0%	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))))`
99.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
99.0%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes9.0ms (0.1%)

Memory

25.6MiB live, 25.6MiB allocated

Counts

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
99.0%	1	`v`
99.0%	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))))`
99.0%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes11.0ms (0.1%)

Memory

-30.3MiB live, 16.2MiB allocated

Counts

3 → 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 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))

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

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

Calls

4 calls:

6.0ms	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	(*.f64 v v)
1.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
98.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.6%	1	`v`
98.6%	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))))`
98.6%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes5.0ms (0%)

Memory

15.5MiB live, 15.5MiB 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 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.3%	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))))`
98.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.3%	1	`v`
98.3%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes6.0ms (0%)

Memory

-22.1MiB live, 16.6MiB 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:

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

Results

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

Compiler

Compiled 35 to 20 computations (42.9% saved)

simplify6.0ms (0%)

Memory

13.5MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	91
1	35	91

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness627.0ms (4.5%)

Memory

-23.9MiB live, 474.2MiB allocated

Rules

3 996×	`lower-fma.f32`
3 986×	`lower-fma.f64`
3 884×	`lower-fma.f64`
3 884×	`lower-fma.f32`
2 478×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	516
1	100	510
2	269	506
3	659	506
4	2016	504
5	5113	504
0	8075	457
0	59	820
0	105	717
1	490	601
2	3927	601
0	8173	595
0	9	47
0	15	47
1	70	47
2	530	47
3	6828	47
0	8012	41

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

Compiler

Compiled 174 to 79 computations (54.6% saved)

preprocess43.0ms (0.3%)

Memory: 35.0MiB live, 104.7MiB allocated
Remove: (abs v)
Compiler: Compiled 238 to 124 computations (47.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze683.0ms (4.9%)

sample3.8s (27.2%)

explain218.0ms (1.6%)

preprocess230.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify191.0ms (1.4%)

localize103.0ms (0.7%)

series4.0ms (0%)

simplify189.0ms (1.3%)

rewrite321.0ms (2.3%)

eval214.0ms (1.5%)

prune89.0ms (0.6%)

simplify333.0ms (2.4%)

localize311.0ms (2.2%)

series16.0ms (0.1%)

simplify207.0ms (1.5%)

rewrite271.0ms (1.9%)

eval228.0ms (1.6%)

prune216.0ms (1.5%)

simplify450.0ms (3.2%)

localize503.0ms (3.6%)

series68.0ms (0.5%)

simplify271.0ms (1.9%)

rewrite429.0ms (3.1%)

eval349.0ms (2.5%)

prune306.0ms (2.2%)

simplify184.0ms (1.3%)

localize893.0ms (6.4%)

series34.0ms (0.2%)

simplify232.0ms (1.7%)

rewrite455.0ms (3.2%)

eval821.0ms (5.9%)

prune640.0ms (4.6%)

regimes54.0ms (0.4%)

regimes9.0ms (0.1%)

regimes11.0ms (0.1%)

regimes5.0ms (0%)

regimes6.0ms (0%)

simplify6.0ms (0%)

soundness627.0ms (4.5%)

preprocess43.0ms (0.3%)

end0.0ms (0%)

Profiling