Metrics for Falkner and Boettcher, Appendix B, 1

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze471.0ms (3.1%)

Memory

3.7MiB live, 563.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample4.1s (27.5%)

Memory

-134.2MiB live, 4 610.3MiB allocated

Samples

1.6s	3 682×	3	valid
805.0ms	8 114×	0	invalid
491.0ms	2 095×	2	valid
393.0ms	2 162×	1	valid
26.0ms	317×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.4s

ival-sub: 706.0ms (29.1% of total)

ival-acos: 561.0ms (23.1% of total)

adjust: 393.0ms (16.2% of total)

ival-mult: 382.0ms (15.7% of total)

ival-div: 351.0ms (14.5% of total)

ival-true: 14.0ms (0.6% of total)

exact: 14.0ms (0.6% of total)

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

Bogosity

explain323.0ms (2.2%)

Memory

-27.7MiB live, 417.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
13	240	(8.610095098065188e-58)	-	`(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	2	(8.320631280773886e-163)	-	`(.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	0

Confusion

	Predicted +	Predicted -
+	13	0
-	240	3

Precision

0.05138339920948617

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	0	0
-	240	0	3

Precision?

0.05138339920948617

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

86.0ms	204×	3	valid
30.0ms	132×	2	valid
25.0ms	148×	1	valid
2.0ms	28×	0	valid

Compiler

Compiled 119 to 31 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-acos: 45.0ms (42.4% of total)

adjust: 20.0ms (18.9% of total)

ival-sub: 15.0ms (14.1% of total)

ival-div: 13.0ms (12.3% of total)

ival-mult: 11.0ms (10.4% of total)

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

exact: 1.0ms (0.9% of total)

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

preprocess263.0ms (1.8%)

Memory

-0.4MiB live, 388.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs v)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify434.0ms (2.9%)

Memory

24.3MiB live, 312.4MiB 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

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize77.0ms (0.5%)

Memory

-4.3MiB live, 155.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.006191259768442017	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
accuracy	0.0078125	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
accuracy	0.19597626953688405	(.f64 #s(literal 5 binary64) (.f64 v v))
accuracy	0.6866549128803784	(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

32.0ms	102×	3	valid
18.0ms	66×	2	valid
13.0ms	74×	1	valid
1.0ms	14×	0	valid

Compiler

Compiled 52 to 11 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-acos: 13.0ms (28.6% of total)

adjust: 10.0ms (22% of total)

ival-div: 9.0ms (19.8% of total)

ival-sub: 7.0ms (15.4% of total)

ival-mult: 6.0ms (13.2% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0%)

Memory

-30.9MiB live, 8.1MiB allocated

Counts

5 → 60

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>) () ())

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>) () ())) ())

Calls

15 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	(- (* v v) 1)
0.0ms	v	@	0	(* 5 (* v v))

simplify167.0ms (1.1%)

Memory

39.8MiB live, 277.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	480
1	100	474
2	269	470
3	659	470
4	2016	468
5	5113	468
0	8075	421

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite364.0ms (2.4%)

Memory

-44.7MiB live, 447.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	44
0	15	44
1	70	44
2	530	44
3	6828	44
0	8012	38

Stop Event

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

Counts

5 → 599

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -5 binary64))))
(+.f64 (.f64 v (.f64 v #s(literal -5 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 125 binary64))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))))
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(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 v (.f64 v (.f64 v v)) #s(literal -1 binary64)))) (fma.f64 v (neg.f64 v) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -125 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) (.f64 (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)))) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) (-.f64 (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -125 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)))))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25 binary64) #s(literal 1 binary64))) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (fma.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) #s(literal 125 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 v v) (-.f64 (.f64 (.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (fma.f64 v v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v))
(.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (fma.f64 v (*.f64 v v) #s(literal -1 binary64))) (+.f64 (fma.f64 v v #s(literal 1 binary64)) v))
(-.f64 #s(literal 0 binary64) (.f64 v (.f64 v #s(literal -5 binary64))))
(neg.f64 (.f64 v (.f64 v #s(literal -5 binary64))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (*.f64 v v)))
(.f64 #s(literal 5 binary64) (.f64 v v))
(.f64 #s(literal 5 binary64) (neg.f64 (neg.f64 (.f64 v v))))
(.f64 v (.f64 #s(literal 5 binary64) v))
(.f64 (.f64 v v) #s(literal 5 binary64))
(.f64 (.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 v (*.f64 v #s(literal -5 binary64))))
(.f64 #s(literal -5 binary64) (neg.f64 (.f64 v v)))
(.f64 (.f64 #s(literal 5 binary64) v) v)
(.f64 (.f64 #s(literal 5 binary64) v) (neg.f64 (neg.f64 v)))
(.f64 (neg.f64 (.f64 v v)) #s(literal -5 binary64))
(.f64 (.f64 v #s(literal -5 binary64)) (neg.f64 v))
(.f64 (neg.f64 (neg.f64 (.f64 v v))) #s(literal 5 binary64))
(.f64 (neg.f64 (.f64 v #s(literal -5 binary64))) v)

eval87.0ms (0.6%)

Memory: 17.5MiB live, 169.1MiB allocated
Compiler: Compiled 21 217 to 2 103 computations (90.1% saved)

prune108.0ms (0.7%)

Memory

-5.9MiB live, 198.9MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	652	7	659
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	653	7	660

Accuracy

99.0%

Counts

660 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	3.4%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	3.4%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	98.9%	(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
▶	98.2%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))
▶	97.8%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
▶	96.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 276 to 144 computations (47.8% saved)

simplify172.0ms (1.1%)

Memory

19.5MiB live, 245.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

8 408×	`lower-fma.f32`
8 394×	`lower-fma.f64`
2 726×	`lower-*.f32`
2 718×	`lower-*.f64`
1 816×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	263
0	60	257
1	105	251
2	182	247
3	380	247
4	783	247
5	1616	247
6	2765	247
7	4593	247
8	6544	247
0	8243	244

Stop Event

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

Calls

Call 1

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

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

localize464.0ms (3.1%)

Memory

-12.9MiB live, 426.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
accuracy	0.0078125	(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.0234375	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	0.7485005754283802	(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.0078125	(fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy	0.01953125	(.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
accuracy	0.5005760673253784	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy	0.6866549128803784	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))
accuracy	0	(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy	0	(*.f64 v #s(literal 4 binary64))
accuracy	0.6736720023730091	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy	0.6866549128803784	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
accuracy	0.6866549128803784	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
accuracy	1.2482323013623595	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
accuracy	0	(*.f64 v #s(literal -5 binary64))
accuracy	0.0078125	(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.6866549128803784	(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Samples

111.0ms	102×	3	valid
51.0ms	66×	2	valid
36.0ms	74×	1	valid
4.0ms	14×	0	valid

Compiler

Compiled 243 to 35 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

adjust: 40.0ms (28% of total)

ival-acos: 27.0ms (18.9% of total)

ival-add: 19.0ms (13.3% of total)

ival-div: 18.0ms (12.6% of total)

ival-mult: 18.0ms (12.6% of total)

ival-asin: 11.0ms (7.7% of total)

ival-sub: 8.0ms (5.6% of total)

ival-pi: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

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

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

series13.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

19 → 216

Calls

Call 1

Inputs
#s(alt (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (patch (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 v #s(literal -5 binary64)) (patch (.f64 v #s(literal -5 binary64)) #<representation binary64>) () ())
#s(alt (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 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (patch (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
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#s(alt (.f64 v #s(literal 4 binary64)) (patch (.f64 v #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))) (patch (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) (patch (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) (patch (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (patch (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (patch (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (patch (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (patch (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5 (pow v 2)) (taylor inf v) (#s(alt (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (patch (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor inf v) (#s(alt (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (patch (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor inf v) (#s(alt (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (patch (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor inf v) (#s(alt (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (patch (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5 (pow v 2)) (taylor -inf v) (#s(alt (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (patch (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor -inf v) (#s(alt (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (patch (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor -inf v) (#s(alt (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (patch (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor -inf v) (#s(alt (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (patch (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -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 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#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 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#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 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#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 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#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 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#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 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#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 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#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>) () ())) ())
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#s(alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor inf v) (#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor inf v) (#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor inf v) (#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor inf v) (#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor inf v) (#s(alt (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor inf v) (#s(alt (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor inf v) (#s(alt (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor inf v) (#s(alt (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 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 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -4 (pow v 2))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 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 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 5 (* 4 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) (taylor inf v) (#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4))))) (taylor inf v) (#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 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 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 5 (* 4 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) (taylor -inf v) (#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4))))) (taylor -inf v) (#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 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 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 5 (pow v 2)) 1) (taylor 0 v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 5 (pow v 2)) 1) (taylor 0 v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 5 (pow v 2)) 1) (taylor 0 v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor inf v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 5 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 5 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 5 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor -inf v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 5 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 5 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 5 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())

Calls

54 calls:

Time	Variable		Point	Expression
1.0ms	v	@	-inf	(* v 4)
0.0ms	v	@	0	(+ (* (PI) 1/2) (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))
0.0ms	v	@	inf	(+ (* v (* v (+ (* (* v v) 4) 4))) -1)
0.0ms	v	@	inf	(* v 4)
0.0ms	v	@	inf	(* v -5)

simplify255.0ms (1.7%)

Memory

-3.3MiB live, 343.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 964×	`lower-fma.f64`
14 964×	`lower-fma.f32`
4 146×	`lower-*.f64`
4 146×	`lower-*.f32`
2 504×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	2186
1	197	2162
2	473	2116
3	1132	2108
4	3144	2098
5	7728	2098
0	8225	1855

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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

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

rewrite415.0ms (2.8%)

Memory

30.3MiB live, 492.4MiB allocated

Rules

5 316×	`lower-fma.f32`
5 302×	`lower-fma.f64`
4 380×	`lower-/.f32`
4 376×	`lower-/.f64`
4 296×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	228
0	60	219
1	253	213
2	1851	213
0	8759	213

Stop Event

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

Counts

19 → 845

Calls

Call 1

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

Outputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #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 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))) (.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.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 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
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(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -125 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))

eval196.0ms (1.3%)

Memory: 12.5MiB live, 280.5MiB allocated
Compiler: Compiled 31 921 to 2 827 computations (91.1% saved)

prune169.0ms (1.1%)

Memory

-16.0MiB live, 293.8MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	1 055	6	1 061
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	1 057	11	1 068

Accuracy

99.0%

Counts

1 068 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.4%	(fma.f64 (.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	96.0%	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	98.9%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	97.8%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))))
▶	2.4%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	3.4%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	98.9%	(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
▶	98.2%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (fma.f64 (.f64 v (.f64 v v)) #s(literal 4 binary64) (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))))
✓	98.2%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))
✓	97.8%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓	96.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 390 to 220 computations (43.6% saved)

simplify251.0ms (1.7%)

Memory

16.8MiB live, 292.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff	0	(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
cost-diff	0	(fma.f64 (.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff	64	(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))
cost-diff	0	(*.f64 (PI.f64) (PI.f64))
cost-diff	0	(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
cost-diff	0	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
cost-diff	0	(fma.f64 v (fma.f64 (.f64 v (.f64 v v)) #s(literal 4 binary64) (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (fma.f64 (.f64 v (.f64 v v)) #s(literal 4 binary64) (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)))
cost-diff	0	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (fma.f64 (.f64 v (.f64 v v)) #s(literal 4 binary64) (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))))
cost-diff	320	(fma.f64 (.f64 v (.f64 v v)) #s(literal 4 binary64) (*.f64 v #s(literal 4 binary64)))
cost-diff	0	#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))
cost-diff	0	(asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))
cost-diff	0	(PI.f64)
cost-diff	0	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))))
cost-diff	0	(PI.f64)
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	0	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff	1600	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))

Rules

7 566×	`lower-fma.f32`
7 546×	`lower-fma.f64`
2 850×	`lower-*.f32`
2 834×	`lower-*.f64`
2 522×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	529
0	91	495
1	163	495
2	284	495
3	507	495
4	1016	487
5	1885	487
6	3218	487
7	5248	487
8	7525	487
0	8497	475

Stop Event

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

Calls

Call 1

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

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

localize518.0ms (3.5%)

Memory

-19.6MiB live, 624.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.7485005754283799	(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	1.0	(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))
accuracy	1.0	(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	0.6736720023730091	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy	0.7485005754283802	(asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
accuracy	57.85447186814493	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
accuracy	57.873046034271596	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
accuracy	0.0078125	(fma.f64 v (fma.f64 (.f64 v (.f64 v v)) #s(literal 4 binary64) (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy	0.10546875	(.f64 v (.f64 v v))
accuracy	0.5005760673253784	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (fma.f64 (.f64 v (.f64 v v)) #s(literal 4 binary64) (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy	0.6866549128803784	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (fma.f64 (.f64 v (.f64 v v)) #s(literal 4 binary64) (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))))
accuracy	0.00390625	(fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))
accuracy	0.0234375	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))))
accuracy	0.6736720023730091	#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))
accuracy	0.7485005754283802	(asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))
accuracy	0.0234375	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	0.7485005754283799	(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	1.0	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy	1.0	(sqrt.f64 (PI.f64))

Samples

247.0ms	102×	3	valid
96.0ms	66×	2	valid
65.0ms	78×	1	valid
5.0ms	10×	0	valid

Compiler

Compiled 465 to 52 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 334.0ms

ival-div: 76.0ms (22.8% of total)

adjust: 60.0ms (18% of total)

ival-add: 50.0ms (15% of total)

ival-asin: 45.0ms (13.5% of total)

ival-mult: 38.0ms (11.4% of total)

ival-acos: 23.0ms (6.9% of total)

ival-cbrt: 11.0ms (3.3% of total)

ival-sub: 9.0ms (2.7% of total)

ival-pow2: 8.0ms (2.4% of total)

ival-sqrt: 5.0ms (1.5% of total)

const: 4.0ms (1.2% of total)

ival-pi: 3.0ms (0.9% of total)

exact: 1.0ms (0.3% of total)

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

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

series20.0ms (0.1%)

Memory

0.7MiB live, 37.5MiB allocated

Counts

25 → 204

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
2.0ms	v	@	inf	(/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 2)) (+ (* (PI) 1/2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
2.0ms	v	@	0	(/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 2)) (+ (* (PI) 1/2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
0.0ms	v	@	inf	(+ (* (* v (* v v)) 4) (* v 4))
0.0ms	v	@	-inf	(* v (* v v))
0.0ms	v	@	0	(+ (* (* v (* v v)) 4) (* v 4))

simplify272.0ms (1.8%)

Memory

9.0MiB live, 365.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14 024×	`lower-fma.f64`
14 024×	`lower-fma.f32`
4 316×	`lower-*.f64`
4 316×	`lower-*.f32`
2 706×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	2986
1	199	2974
2	477	2936
3	1148	2928
4	3125	2922
5	7876	2922
0	8025	2547

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

rewrite651.0ms (4.3%)

Memory

2.6MiB live, 783.7MiB allocated

Rules

5 280×	`lower-fma.f32`
5 262×	`lower-fma.f64`
4 364×	`lower-*.f32`
4 348×	`lower-*.f64`
3 484×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	395
0	91	342
1	369	304
2	2802	303
0	8730	296

Stop Event

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

Counts

25 → 995

Calls

Call 1

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

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

eval376.0ms (2.5%)

Memory: 24.6MiB live, 687.7MiB allocated
Compiler: Compiled 74 320 to 5 558 computations (92.5% saved)

prune544.0ms (3.6%)

Memory

-124.7MiB live, 600.4MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	2 029	12	2 041
Fresh	1	1	2
Picked	3	2	5
Done	1	3	4
Total	2 034	18	2 052

Accuracy

99.0%

Counts

2 052 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.6%	(fma.f64 (.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
	97.4%	(fma.f64 (.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
	96.0%	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	97.4%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
▶	97.8%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))))
	97.8%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))))))
✓	97.8%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))))
	3.3%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
✓	2.4%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	2.4%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (pow.f64 (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))))
▶	2.4%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
▶	2.4%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))) (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))))
	2.4%	(.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
	2.4%	(.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))))
✓	98.9%	(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	97.8%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
▶	98.2%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (.f64 (fma.f64 v (.f64 v v) v) v) #s(literal -1 binary64))))
✓	96.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 1 017 to 495 computations (51.3% saved)

simplify268.0ms (1.8%)

Memory

18.4MiB live, 411.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
cost-diff	128	(-.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))
cost-diff	320	(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
cost-diff	384	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
cost-diff	0	(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
cost-diff	64	(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))
cost-diff	320	(fma.f64 (.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
cost-diff	1600	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
cost-diff	0	(*.f64 (PI.f64) (PI.f64))
cost-diff	0	(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
cost-diff	0	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))) (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))))
cost-diff	0	(PI.f64)
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	0	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))))
cost-diff	1600	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff	0	(.f64 (fma.f64 v (.f64 v v) v) v)
cost-diff	0	(fma.f64 #s(literal 4 binary64) (.f64 (fma.f64 v (.f64 v v) v) v) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (.f64 (fma.f64 v (.f64 v v) v) v) #s(literal -1 binary64)))
cost-diff	0	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (.f64 (fma.f64 v (.f64 v v) v) v) #s(literal -1 binary64))))

Rules

13 734×	`lower-fma.f32`
13 712×	`lower-fma.f64`
5 006×	`lower-*.f32`
4 982×	`lower-*.f64`
2 060×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	999
0	121	947
1	220	942
2	453	942
3	1145	942
4	3710	934
5	6460	934
0	8221	904

Stop Event

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

Calls

Call 1

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

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

localize608.0ms (4%)

Memory

-0.1MiB live, 674.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.9990425293053261	(pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
accuracy	1.0	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
accuracy	57.77930529375461	(fma.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)))
accuracy	57.85447186814493	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
accuracy	1.0	(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))
accuracy	1.0	(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	59.03196008687792	(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.6736720023730092	#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))
accuracy	0.7485005754283799	(asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))
accuracy	57.85447186814493	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)))
accuracy	59.03196008687792	(acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))
accuracy	0.6736720023730092	#s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))
accuracy	0.7485005754283799	(asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))
accuracy	1.0	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	0.00390625	(fma.f64 #s(literal 4 binary64) (.f64 (fma.f64 v (.f64 v v) v) v) #s(literal -1 binary64))
accuracy	0.00390625	(.f64 (fma.f64 v (.f64 v v) v) v)
accuracy	0.5005760673253784	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (.f64 (fma.f64 v (.f64 v v) v) v) #s(literal -1 binary64)))
accuracy	0.6866549128803784	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (.f64 (fma.f64 v (.f64 v v) v) v) #s(literal -1 binary64))))

Samples

223.0ms	155×	1	valid
162.0ms	91×	2	valid
5.0ms	10×	0	valid

Compiler

Compiled 831 to 69 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 318.0ms

ival-mult: 61.0ms (19.2% of total)

adjust: 50.0ms (15.7% of total)

ival-add: 48.0ms (15.1% of total)

ival-pow: 36.0ms (11.3% of total)

ival-acos: 29.0ms (9.1% of total)

ival-asin: 28.0ms (8.8% of total)

ival-div: 19.0ms (6% of total)

ival-sub: 14.0ms (4.4% of total)

ival-pow2: 12.0ms (3.8% of total)

ival-cbrt: 7.0ms (2.2% of total)

const: 4.0ms (1.3% of total)

ival-sqrt: 4.0ms (1.3% of total)

ival-neg: 2.0ms (0.6% of total)

ival-pi: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series42.0ms (0.3%)

Memory

5.7MiB live, 42.6MiB allocated

Counts

27 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
16.0ms	v	@	inf	(* (+ (* 1/8 (* (PI) (* (PI) (PI)))) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (/ 1 (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (- (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (* (PI) 1/2))) (* (* (PI) (PI)) 1/4))))
3.0ms	v	@	0	(/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 2)) (* (+ (* 1/8 (* (PI) (* (PI) (PI)))) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (/ 1 (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (- (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (* (PI) 1/2))) (* (* (PI) (PI)) 1/4)))))
2.0ms	v	@	inf	(/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 2)) (* (+ (* 1/8 (* (PI) (* (PI) (PI)))) (pow (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 3)) (/ 1 (+ (* (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (- (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (* (PI) 1/2))) (* (* (PI) (PI)) 1/4)))))
1.0ms	v	@	inf	(/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) 2)) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))
1.0ms	v	@	0	(/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) 2)) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))

simplify429.0ms (2.9%)

Memory

23.7MiB live, 331.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 928×	`lower-fma.f64`
12 928×	`lower-fma.f32`
4 022×	`lower-*.f64`
4 022×	`lower-*.f32`
3 318×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	5158
1	230	5134
2	544	5114
3	1688	5110
4	4331	5108
5	7883	5108
0	8388	4461

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
-1
(- (* 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))))
(pow v 2)
(* (pow v 2) (+ 1 (pow v 2)))
(* (pow v 2) (+ 1 (pow v 2)))
(* (pow v 2) (+ 1 (pow v 2)))
(pow v 4)
(* (pow v 4) (+ 1 (/ 1 (pow v 2))))
(* (pow v 4) (+ 1 (/ 1 (pow v 2))))
(* (pow v 4) (+ 1 (/ 1 (pow v 2))))
(pow v 4)
(* (pow v 4) (+ 1 (/ 1 (pow v 2))))
(* (pow v 4) (+ 1 (/ 1 (pow v 2))))
(* (pow v 4) (+ 1 (/ 1 (pow v 2))))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
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Outputs
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(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -4 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64))) #s(literal -4 binary64)) #s(literal 1 binary64))
5
#s(literal 5 binary64)
(+ 5 (* 4 (/ 1 (pow v 2))))
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))) (.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(+.f64 #s(literal 5 binary64) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))) (.f64 v v)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (*.f64 v v)))))))
5
#s(literal 5 binary64)
(+ 5 (* 4 (/ 1 (pow v 2))))
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))) (.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(+.f64 #s(literal 5 binary64) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))) (.f64 v v)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (*.f64 v v)))))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))

rewrite839.0ms (5.6%)

Memory

-4.6MiB live, 826.1MiB allocated

Rules

9 012×	`lower-fma.f32`
8 990×	`lower-fma.f64`
5 280×	`lower-*.f32`
5 256×	`lower-*.f64`
2 574×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	640
0	121	557
1	488	536
2	3776	535
0	8889	515

Stop Event

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

Counts

27 → 1 109

Calls

Call 1

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

Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))))))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (neg.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 5/12 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 5/12 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 5/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v 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 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (*.f64 v v) v))))
(+.f64 (.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (*.f64 v v) v))) #s(literal -1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 v (fma.f64 v (.f64 v v) v)))) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64))))
(fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (.f64 v (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))
(fma.f64 (fma.f64 v (.f64 v v) v) (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 v (fma.f64 v (.f64 v v) v)) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 v #s(literal 4 binary64)) (fma.f64 v (.f64 v v) v) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) v #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 v (fma.f64 v (.f64 v v) v))) #s(literal 1 binary64)) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) #s(literal -4 binary64))) (fma.f64 #s(literal 64 binary64) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 v (fma.f64 v (.f64 v v) v)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 v (fma.f64 v (*.f64 v v) v))) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 v (fma.f64 v (.f64 v v) v)))) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 v (fma.f64 v (.f64 v v) v))) #s(literal 1 binary64)) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) #s(literal -4 binary64))))
(/.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 v (fma.f64 v (.f64 v v) v)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 v (fma.f64 v (.f64 v v) v)))) (.f64 (.f64 v (fma.f64 v (*.f64 v v) v)) #s(literal -4 binary64)))))
(/.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 v (fma.f64 v (.f64 v v) v))) #s(literal -1 binary64)) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (*.f64 v v) v)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 v (fma.f64 v (.f64 v v) v)))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 v (fma.f64 v (.f64 v v) v))) #s(literal 1 binary64)) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 v (fma.f64 v (.f64 v v) v))) #s(literal -1 binary64))) (neg.f64 (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (*.f64 v v) v)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 16 binary64) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 v (fma.f64 v (.f64 v v) v))))) (-.f64 #s(literal -1 binary64) (.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (*.f64 v v) v)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 v (fma.f64 v (.f64 v v) v))) #s(literal 1 binary64)) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) #s(literal -4 binary64))) (fma.f64 #s(literal 64 binary64) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 v (fma.f64 v (.f64 v v) v)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 v (fma.f64 v (*.f64 v v) v))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 v (fma.f64 v (.f64 v v) v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 v (fma.f64 v (.f64 v v) v))) #s(literal 1 binary64)) (.f64 (.f64 v (fma.f64 v (*.f64 v v) v)) #s(literal -4 binary64)))))
(.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 v (fma.f64 v (.f64 v v) v))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64))))
(+.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))
(+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v v))
(fma.f64 #s(literal 1 binary64) (.f64 v v) (.f64 v (.f64 v (.f64 v v))))
(fma.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v))) (.f64 v v))
(fma.f64 v v (.f64 v (.f64 v (*.f64 v v))))
(fma.f64 v (.f64 v (.f64 v v)) (*.f64 v v))
(fma.f64 v (.f64 v #s(literal 1 binary64)) (.f64 v (.f64 v (.f64 v v))))
(fma.f64 (.f64 v v) #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v))))
(fma.f64 (.f64 v v) (.f64 v v) (*.f64 v v))
(fma.f64 (.f64 v v) (pow.f64 (.f64 v #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 v v))
(fma.f64 (.f64 v (.f64 v v)) v (*.f64 v v))
(fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 1 binary64) (.f64 v v))
(fma.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)) (.f64 v (.f64 v (*.f64 v v))))
(/.f64 (.f64 v (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 v (.f64 v v)))) (fma.f64 v (-.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) (.f64 v (.f64 v (*.f64 v v))))))
(/.f64 (.f64 v (.f64 (fma.f64 v (.f64 v v) v) (-.f64 (.f64 v (.f64 v v)) v))) (-.f64 (.f64 v (*.f64 v v)) v))
(/.f64 (.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 v (.f64 v v))) v) (fma.f64 v (-.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) (.f64 v (.f64 v (*.f64 v v))))))
(/.f64 (.f64 (.f64 (fma.f64 v (.f64 v v) v) (-.f64 (.f64 v (.f64 v v)) v)) v) (-.f64 (.f64 v (*.f64 v v)) v))
(.f64 v (fma.f64 v (.f64 v v) v))
(.f64 (fma.f64 v (.f64 v v) v) v)
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 #s(literal 5/2 binary64) (log.f64 (PI.f64))) (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/3 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 5/2 binary64) (log.f64 (PI.f64))))))
(fabs.f64 (PI.f64))
(fabs.f64 (neg.f64 (PI.f64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 2/3 binary64))
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(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) #s(literal 3/2 binary64)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/12 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (PI.f64)) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/12 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 6 binary64)))
(.f64 (pow.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 #s(literal 3 binary64) (log.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) #s(literal 3/2 binary64) (.f64 (log.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) #s(literal 3/2 binary64))))
(/.f64 (pow.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64))) (pow.f64 (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) #s(literal 3 binary64)))
(pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) #s(literal 3 binary64)))

eval508.0ms (3.4%)

Memory: 47.0MiB live, 1 095.7MiB allocated
Compiler: Compiled 139 846 to 8 435 computations (94% saved)

prune560.0ms (3.7%)

Memory

-46.0MiB live, 1 155.3MiB allocated

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	2 881	9	2 890
Fresh	3	5	8
Picked	2	3	5
Done	0	5	5
Total	2 886	22	2 908

Accuracy

99.0%

Counts

2 908 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.6%	(fma.f64 (.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (-.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))))))))
	97.4%	(fma.f64 (.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
	96.0%	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	96.6%	(fma.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
	96.4%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))))
	97.8%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))))))
✓	97.8%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))))
✓	97.8%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))))
	3.0%	(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))) (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))))
	3.3%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
	5.4%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64))) (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))))
✓	2.4%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	2.4%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (pow.f64 (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))))
	2.4%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
	5.5%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 6 binary64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
✓	2.4%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))) (acos.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))))
	2.4%	(.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
	97.8%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ ( 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))))))) #s(literal -1 binary64)))
✓	98.9%	(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	97.8%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓	98.2%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (.f64 (fma.f64 v (.f64 v v) v) v) #s(literal -1 binary64))))
✓	96.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 1 781 to 526 computations (70.5% saved)

regimes42.0ms (0.3%)

Memory

6.2MiB live, 85.1MiB allocated

Counts

35 → 1

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	(*.f64 v v)
10.0ms	(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	v
8.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes10.0ms (0.1%)

Memory

-11.8MiB live, 26.8MiB 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 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (.f64 (fma.f64 v (.f64 v v) v) v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (fma.f64 (.f64 v (.f64 v v)) #s(literal 4 binary64) (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.2%	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))))`
98.2%	1	`v`
98.2%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.2%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes6.0ms (0%)

Memory

15.8MiB live, 15.8MiB 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 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))

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

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

Calls

4 calls:

2.0ms	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
97.8%	1	`v`
97.8%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
97.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
97.8%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes6.0ms (0%)

Memory

-24.8MiB live, 14.5MiB 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 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.8%	1	`v`
97.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
97.8%	1	`(*.f64 v v)`
97.8%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes5.0ms (0%)

Memory

13.4MiB live, 13.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
96.9%	1	`v`
96.9%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
96.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
96.9%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

simplify11.0ms (0.1%)

Memory

-32.0MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	99
1	44	99

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness875.0ms (5.8%)

Memory

48.8MiB live, 731.8MiB allocated

Rules

14 964×	`lower-fma.f64`
14 964×	`lower-fma.f32`
7 768×	`lower-fma.f64`
7 768×	`lower-fma.f32`
5 316×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	2186
1	197	2162
2	473	2116
3	1132	2108
4	3144	2098
5	7728	2098
0	8225	1855
0	34	228
0	60	219
1	253	213
2	1851	213
0	8759	213
0	39	480
1	100	474
2	269	470
3	659	470
4	2016	468
5	5113	468
0	8075	421
0	51	395
0	91	342
1	369	304
2	2802	303
0	8730	296
0	9	44
0	15	44
1	70	44
2	530	44
3	6828	44
0	8012	38

Stop Event

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

Compiler

Compiled 168 to 95 computations (43.5% saved)

preprocess56.0ms (0.4%)

Memory: -12.3MiB live, 111.3MiB allocated
Remove: (abs v)
Compiler: Compiled 178 to 104 computations (41.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze471.0ms (3.1%)

sample4.1s (27.5%)

explain323.0ms (2.2%)

preprocess263.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify434.0ms (2.9%)

localize77.0ms (0.5%)

series5.0ms (0%)

simplify167.0ms (1.1%)

rewrite364.0ms (2.4%)

eval87.0ms (0.6%)

prune108.0ms (0.7%)

simplify172.0ms (1.1%)

localize464.0ms (3.1%)

series13.0ms (0.1%)

simplify255.0ms (1.7%)

rewrite415.0ms (2.8%)

eval196.0ms (1.3%)

prune169.0ms (1.1%)

simplify251.0ms (1.7%)

localize518.0ms (3.5%)

series20.0ms (0.1%)

simplify272.0ms (1.8%)

rewrite651.0ms (4.3%)

eval376.0ms (2.5%)

prune544.0ms (3.6%)

simplify268.0ms (1.8%)

localize608.0ms (4%)

series42.0ms (0.3%)

simplify429.0ms (2.9%)

rewrite839.0ms (5.6%)

eval508.0ms (3.4%)

prune560.0ms (3.7%)

regimes42.0ms (0.3%)

regimes10.0ms (0.1%)

regimes6.0ms (0%)

regimes6.0ms (0%)

regimes5.0ms (0%)

simplify11.0ms (0.1%)

soundness875.0ms (5.8%)

preprocess56.0ms (0.4%)

end0.0ms (0%)

Profiling