Metrics for Falkner and Boettcher, Appendix B, 1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze442.0ms (3.4%)

Memory

2.6MiB live, 643.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample4.2s (32.3%)

Memory

86.2MiB live, 4 388.5MiB allocated

Samples

1.5s	3 715×	3	valid
843.0ms	8 242×	0	invalid
546.0ms	2 066×	2	valid
462.0ms	2 196×	1	valid
23.0ms	279×	0	valid

Precisions

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

ival-acos: 710.0ms (26.8% of total)

ival-sub: 603.0ms (22.7% of total)

ival-mult: 576.0ms (21.7% of total)

adjust: 438.0ms (16.5% of total)

ival-div: 289.0ms (10.9% of total)

exact: 16.0ms (0.6% of total)

ival-true: 13.0ms (0.5% of total)

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

Bogosity

explain258.0ms (2%)

Memory

-14.7MiB live, 617.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
10	242	(3.6316398200493413e-290)	-	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
0	0	-	-	`(.f64 #s(literal 5 binary64) (.f64 v v))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 v v)`
0	0	-	-	`#s(literal 5 binary64)`
0	0	-	-	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
0	0	-	-	`v`
0	0	-	-	`(-.f64 (*.f64 v v) #s(literal 1 binary64))`
0	0	-	-	`(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`acos.f64`	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`	sensitivity	252	0

Confusion

	Predicted +	Predicted -
+	10	0
-	242	4

Precision

0.03968253968253968

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	10	0	0
-	242	0	4

Precision?

0.03968253968253968

Recall?

1.0

Freqs

test

number	freq
0	4
1	252

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

77.0ms	216×	3	valid
43.0ms	126×	2	valid
26.0ms	152×	1	valid
2.0ms	18×	0	valid

Compiler

Compiled 118 to 31 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-acos: 34.0ms (30.9% of total)

adjust: 22.0ms (20% of total)

ival-div: 21.0ms (19.1% of total)

ival-sub: 20.0ms (18.2% of total)

ival-mult: 11.0ms (10% of total)

exact: 1.0ms (0.9% of total)

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

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

preprocess286.0ms (2.2%)

Memory

18.0MiB live, 230.3MiB allocated

Algorithm

1×	egg-herbie

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

Symmetry

(abs v)

Compiler

Compiled 14 to 9 computations (35.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(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 14 to 9 computations (35.7% saved)

simplify153.0ms (1.2%)

Memory

-1.2MiB live, 158.4MiB 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)))

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

localize89.0ms (0.7%)

Memory

-4.9MiB live, 194.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.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	0.21455004884221007	(.f64 #s(literal 5 binary64) (.f64 v v))
accuracy	0.4925387731206366	(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

50.0ms	108×	3	valid
15.0ms	63×	2	valid
12.0ms	76×	1	valid
2.0ms	9×	0	valid

Compiler

Compiled 52 to 11 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-acos: 27.0ms (43.9% of total)

adjust: 12.0ms (19.5% of total)

ival-div: 9.0ms (14.6% of total)

ival-sub: 8.0ms (13% of total)

ival-mult: 6.0ms (9.8% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

-30.4MiB live, 11.3MiB allocated

Counts

6 → 72

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))
1.0ms	v	@	0	((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))
1.0ms	v	@	-inf	((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))

Time

Variable

Point

Expression

1.0ms

inf

((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))

1.0ms

((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))

1.0ms

-inf

((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))

simplify128.0ms (1%)

Memory

30.4MiB live, 141.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	516
1	100	510
2	269	506
3	655	506
4	2002	504
5	5117	504
0	8077	457

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
-1
(- (pow v 2) 1)
(- (pow v 2) 1)
(- (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 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* -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))
(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)))
-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))
(pow v 2)
(pow v 2)
(pow v 2)
(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))
(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)))
-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))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)

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

rewrite224.0ms (1.7%)

Memory

0.9MiB live, 217.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 607

Calls

Call 1

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

Outputs
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eval102.0ms (0.8%)

Memory: 4.3MiB live, 198.3MiB allocated
Compiler: Compiled 17 406 to 2 200 computations (87.4% saved)

prune21.0ms (0.2%)

Memory

-9.0MiB live, 64.7MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	689	10	699
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	690	10	700

Accuracy

99.3%

Counts

700 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.8%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	99.2%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	99.2%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	2.7%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.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)))) (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))))))) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
	99.2%	(-.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)))))
▶	99.2%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
▶	99.2%	(acos.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
	98.3%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
▶	97.6%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 412 to 236 computations (42.7% saved)

simplify120.0ms (0.9%)

Memory

-11.4MiB live, 145.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
cost-diff	0	(PI.f64)
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	1600	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff	0	(*.f64 v v)
cost-diff	0	(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
cost-diff	0	(acos.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff	320	(.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
cost-diff	0	(*.f64 v v)
cost-diff	0	(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
cost-diff	0	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
cost-diff	0	#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 (PI.f64) (PI.f64))
cost-diff	0	(fma.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)))) (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)))))))
cost-diff	0	(/.f64 (fma.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)))) (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))))))) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.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)))) (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))))))) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	463
0	75	455
1	131	452
2	255	450
3	588	450
4	1500	450
5	2519	450
6	3963	450
7	6452	450
0	8067	449

Stop Event

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

Calls

Call 1

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

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

localize430.0ms (3.3%)

Memory

31.5MiB live, 583.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.01171875	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	0.5371243131113312	(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	0	(*.f64 v v)
accuracy	0.01171875	(/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.01953125	(.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.4925387731206366	(acos.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	0	(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
accuracy	0	(*.f64 v v)
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	0.4925387731206366	(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	0.4925387731206366	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
accuracy	0.9697232817577817	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
accuracy	0.96484375	(/.f64 (fma.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)))) (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))))))) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
accuracy	0.994472509768442	(pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
accuracy	1.0	(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy	58.43232708212304	(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)))))

Samples

217.0ms	108×	3	valid
80.0ms	63×	2	valid
76.0ms	77×	1	valid
3.0ms	8×	0	valid

Compiler

Compiled 523 to 47 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 307.0ms

ival-mult: 73.0ms (23.8% of total)

adjust: 47.0ms (15.3% of total)

ival-asin: 44.0ms (14.3% of total)

ival-div: 36.0ms (11.7% of total)

ival-pow: 34.0ms (11.1% of total)

ival-acos: 33.0ms (10.8% of total)

ival-add: 20.0ms (6.5% of total)

ival-sub: 10.0ms (3.3% of total)

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

ival-pi: 3.0ms (1% of total)

exact: 1.0ms (0.3% of total)

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

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

series29.0ms (0.2%)

Memory

8.1MiB live, 44.4MiB allocated

Counts

23 → 216

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
9.0ms	v	@	0	((/ 1 (/ (+ (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (- (* (pow (PI) 3) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3)))) (/ (+ (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (- (* (pow (PI) 3) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3))) (+ (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (* (PI) (PI)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (* (+ (* (* v v) 5) -1) (/ -1 (+ (* v v) -1))) (acos (* (+ (* (* v v) 5) -1) (/ -1 (+ (* v v) -1)))) (+ (* (* v v) 5) -1) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (pow (PI) 3) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3) (/ -1 (+ (* v v) -1)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))
6.0ms	v	@	inf	((/ 1 (/ (+ (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (- (* (pow (PI) 3) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3)))) (/ (+ (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (- (* (pow (PI) 3) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3))) (+ (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (* (PI) (PI)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (* (+ (* (* v v) 5) -1) (/ -1 (+ (* v v) -1))) (acos (* (+ (* (* v v) 5) -1) (/ -1 (+ (* v v) -1)))) (+ (* (* v v) 5) -1) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (pow (PI) 3) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3) (/ -1 (+ (* v v) -1)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))
3.0ms	v	@	-inf	((/ 1 (/ (+ (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (- (* (pow (PI) 3) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3)))) (/ (+ (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (- (* (pow (PI) 3) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3))) (+ (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (* (PI) (PI)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (* (+ (* (* v v) 5) -1) (/ -1 (+ (* v v) -1))) (acos (* (+ (* (* v v) 5) -1) (/ -1 (+ (* v v) -1)))) (+ (* (* v v) 5) -1) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (pow (PI) 3) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3) (/ -1 (+ (* v v) -1)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))

Time

Variable

Point

Expression

9.0ms

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

6.0ms

inf

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

3.0ms

-inf

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

simplify177.0ms (1.4%)

Memory

3.8MiB live, 201.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	4086
1	271	4058
2	645	4038
3	1761	4024
4	4239	4024
5	7590	4024
0	8045	3526

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

rewrite235.0ms (1.8%)

Memory

7.7MiB live, 360.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	329
0	75	446
1	310	230
2	2367	224
0	8788	224

Stop Event

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

Counts

23 → 1 602

Calls

Call 1

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

Outputs
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eval828.0ms (6.4%)

Memory: -196.0MiB live, 995.8MiB allocated
Compiler: Compiled 166 186 to 9 426 computations (94.3% saved)

prune78.0ms (0.6%)

Memory

10.2MiB live, 211.3MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	3 185	11	3 196
Fresh	1	4	5
Picked	2	3	5
Done	0	0	0
Total	3 188	18	3 206

Accuracy

99.3%

Counts

3 206 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.8%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	96.9%	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	97.8%	(fma.f64 (sqrt.f64 (PI.f64)) (.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)))))))
	98.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
▶	99.2%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	2.7%	(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	95.8%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.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)))) (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))))))) (-.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
	94.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.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)))) (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))))))) (-.f64 (.f64 (pow.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 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
	96.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.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)))) (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))))))) (-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
▶	98.4%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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))))))) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
▶	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	99.2%	(-.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)))))
	2.7%	(.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)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (/.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64))))
✓	99.2%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	99.2%	(acos.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
	98.3%	(acos.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) #s(approx (/ -1 (+ (* v v) -1)) (fma.f64 v v #s(literal 1 binary64)))))
▶	98.3%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
✓	97.6%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 1 045 to 564 computations (46% saved)

simplify179.0ms (1.4%)

Memory

1.7MiB live, 113.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (PI.f64) (PI.f64))
cost-diff	0	(fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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)))))))
cost-diff	0	(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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))))))) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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))))))) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
cost-diff	0	(*.f64 (PI.f64) (PI.f64))
cost-diff	0	(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))
cost-diff	0	(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (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 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
cost-diff	0	(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #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 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff	0	(*.f64 v v)
cost-diff	0	(fma.f64 #s(literal 4 binary64) (*.f64 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 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 v v) #s(literal -1 binary64))))
cost-diff	0	(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
cost-diff	0	(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	675
0	105	667
1	181	667
2	311	665
3	584	665
4	1272	665
5	2207	665
6	3589	665
7	5571	665
8	7686	665
0	8187	665

Stop Event

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

Calls

Call 1

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

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

localize813.0ms (6.3%)

Memory

-52.3MiB live, 573.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.96484375	(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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))))))) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
accuracy	0.994472509768442	(pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
accuracy	1.0	(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy	58.43232708212304	(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)))))
accuracy	0.39681625976844204	(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (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	0.5371243131113312	(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	58.41400007969036	(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
accuracy	59.35807724131711	(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	(PI.f64)
accuracy	0.0078125	(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.015625	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	0.5371243131113312	(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0	(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
accuracy	0	(*.f64 v v)
accuracy	0.4925387731206366	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
accuracy	0.5939736071902249	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
accuracy	0.0078125	(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
accuracy	0.4925387731206366	(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Samples

382.0ms	108×	3	valid
206.0ms	63×	2	valid
74.0ms	79×	1	valid
3.0ms	6×	0	valid

Compiler

Compiled 705 to 59 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 543.0ms

ival-div: 115.0ms (21.2% of total)

ival-asin: 106.0ms (19.5% of total)

adjust: 78.0ms (14.4% of total)

ival-add: 65.0ms (12% of total)

ival-acos: 63.0ms (11.6% of total)

ival-pow: 54.0ms (9.9% of total)

ival-mult: 37.0ms (6.8% of total)

ival-sub: 14.0ms (2.6% of total)

ival-pow2: 8.0ms (1.5% of total)

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

exact: 1.0ms (0.2% of total)

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

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

series25.0ms (0.2%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

24 → 240

Calls

Call 1

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

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

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

4.0ms

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

3.0ms

-inf

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

simplify301.0ms (2.3%)

Memory

-1.1MiB live, 161.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	4970
1	233	4958
2	504	4950
3	1092	4946
4	2421	4940
5	5250	4940
6	7943	4940
0	8873	4316

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
-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)
(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)
-1
(- (* 4 (pow v 2)) 1)
(- (* 4 (pow v 2)) 1)
(- (* 4 (pow v 2)) 1)
(pow v 2)
(pow v 2)
(pow v 2)
(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)))
(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)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(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)))
-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)))
-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)))))
(* 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))))
(pow v 2)
(pow v 2)
(pow v 2)
(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)))
(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)))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(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)))
-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)))
-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)))))
(* 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))))
(pow v 2)
(pow v 2)
(pow v 2)
(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)))
(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)))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)

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

rewrite258.0ms (2%)

Memory

-3.4MiB live, 262.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	423
0	105	388
1	446	386
2	2854	377
0	8307	377

Stop Event

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

Counts

24 → 1 439

Calls

Call 1

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

Outputs
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eval507.0ms (3.9%)

Memory: 63.2MiB live, 868.5MiB allocated
Compiler: Compiled 113 348 to 6 433 computations (94.3% saved)

prune86.0ms (0.7%)

Memory

-34.2MiB live, 205.5MiB allocated

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	2 285	13	2 298
Fresh	6	4	10
Picked	3	2	5
Done	0	3	3
Total	2 294	22	2 316

Accuracy

99.4%

Counts

2 316 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	96.8%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (+ ( -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))))
▶	96.3%	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	97.8%	(fma.f64 (sqrt.f64 (PI.f64)) (.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)))))))
▶	98.3%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
	2.7%	(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
	2.7%	(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (.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 #s(literal 1/4 binary64) (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 2 binary64)))))
	2.6%	(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (PI.f64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64))))
▶	1.6%	(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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)))))
	96.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (asin.f64 #s(approx (/ (+ ( -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
▶	95.0%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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))))))) (-.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
	93.5%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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))))))) (-.f64 (.f64 (pow.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 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
	98.4%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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))))))) (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
✓	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	98.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 #s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))))
▶	99.2%	(-.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)))))
	2.7%	(.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)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (/.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64))))
✓	99.2%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	99.2%	(acos.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
	98.3%	(acos.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) #s(approx (/ -1 (+ (* v v) -1)) (fma.f64 v v #s(literal 1 binary64)))))
✓	98.3%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
✓	97.6%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 1 461 to 764 computations (47.7% saved)

simplify155.0ms (1.2%)

Memory

0.1MiB live, 194.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (PI.f64) (PI.f64))
cost-diff	0	(fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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)))))))
cost-diff	0	(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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))))))) (-.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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))))))) (-.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
cost-diff	0	(cbrt.f64 (sqrt.f64 (PI.f64)))
cost-diff	0	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff	1600	(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
cost-diff	12864	(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
cost-diff	0	(*.f64 (PI.f64) (PI.f64))
cost-diff	0	(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))
cost-diff	0	(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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)))))
cost-diff	0	#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))
cost-diff	0	(asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.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 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
cost-diff	0	(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
cost-diff	0	(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
cost-diff	0	(PI.f64)
cost-diff	0	(-.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)))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	789
0	125	765
1	207	761
2	321	759
3	693	759
4	2017	759
5	3385	759
6	5225	759
7	6944	759
0	8044	759

Stop Event

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

Calls

Call 1

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

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

localize706.0ms (5.5%)

Memory

13.1MiB live, 988.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.0	(pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64))
accuracy	1.0	(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	58.43232708212304	(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)))))
accuracy	0.015625	(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 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	0.5371243131113312	(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	1.0	(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	0.5371243131113312	(asin.f64 #s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
accuracy	0.5939736071902249	#s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
accuracy	58.41400007969036	(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))
accuracy	59.35807724131711	(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	(PI.f64)
accuracy	0.015625	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
accuracy	0.5371243131113312	(asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))
accuracy	0.5939736071902249	#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy	0	(PI.f64)
accuracy	0.0078125	(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.015625	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	59.35807724131711	(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Samples

337.0ms	142×	1	valid
290.0ms	108×	2	valid
3.0ms	6×	0	valid

Compiler

Compiled 777 to 67 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 486.0ms

ival-pow: 145.0ms (29.8% of total)

ival-asin: 78.0ms (16% of total)

ival-mult: 71.0ms (14.6% of total)

adjust: 48.0ms (9.9% of total)

ival-div: 36.0ms (7.4% of total)

ival-acos: 36.0ms (7.4% of total)

ival-add: 28.0ms (5.8% of total)

ival-pow2: 15.0ms (3.1% of total)

ival-sub: 8.0ms (1.6% of total)

ival-cbrt: 8.0ms (1.6% of total)

ival-pi: 7.0ms (1.4% of total)

ival-sqrt: 4.0ms (0.8% of total)

exact: 1.0ms (0.2% of total)

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

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

series29.0ms (0.2%)

Memory

-17.0MiB live, 40.9MiB allocated

Counts

27 → 204

Calls

Call 1

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

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

3 calls:

Time

Variable

Point

Expression

10.0ms

-inf

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

3.0ms

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

3.0ms

inf

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

simplify195.0ms (1.5%)

Memory

4.3MiB live, 233.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	4710
1	227	4704
2	490	4700
3	1052	4692
4	2328	4686
5	4988	4686
6	7574	4686
0	8263	4083

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(+ (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)))
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)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/4 (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)))
(+ (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)))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
-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)
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
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)))))
(+ (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)))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (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)))
(+ (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)))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
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)))))
(+ (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)))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (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)))
(+ (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)))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))

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

rewrite230.0ms (1.8%)

Memory

13.5MiB live, 363.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	486
0	125	453
1	505	442
2	3153	442
0	8190	441

Stop Event

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

Counts

27 → 933

Calls

Call 1

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

Outputs
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eval383.0ms (3%)

Memory: 22.0MiB live, 692.3MiB allocated
Compiler: Compiled 74 276 to 5 462 computations (92.6% saved)

prune74.0ms (0.6%)

Memory

7.0MiB live, 192.7MiB allocated

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	1 735	11	1 746
Fresh	5	7	12
Picked	2	3	5
Done	0	5	5
Total	1 742	26	1 768

Accuracy

99.4%

Counts

1 768 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.8%	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
	95.4%	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
	96.9%	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	97.8%	(fma.f64 (sqrt.f64 (PI.f64)) (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))))))
✓	98.3%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
	1.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 #s(approx (/ (+ ( (* v v) -5) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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))))) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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)))))))
	1.6%	(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ ( (* v v) -5) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 #s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))))
	1.8%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64))) (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
	2.6%	(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (PI.f64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64))))
	96.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (asin.f64 #s(approx (/ (+ ( -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
	94.6%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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))))))) (-.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
✓	95.0%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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))))))) (-.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
	93.5%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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))))))) (-.f64 (.f64 (pow.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 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
	98.4%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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))))))) (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
	95.0%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
✓	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	98.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 #s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))))
	96.3%	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	99.2%	(-.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)))))
	98.3%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
	2.7%	(.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)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (/.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64))))
✓	99.2%	(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	99.2%	(acos.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
	98.3%	(acos.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) #s(approx (/ -1 (+ (* v v) -1)) (fma.f64 v v #s(literal 1 binary64)))))
✓	98.3%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
✓	97.6%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 2 533 to 696 computations (72.5% saved)

regimes57.0ms (0.4%)

Memory

0.9MiB live, 118.9MiB allocated

Counts

46 → 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 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(acos.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) #s(approx (/ -1 (+ (* v v) -1)) (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 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 #s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (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 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (.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 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64))) (acos.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 (/.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 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (+ ( -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))))
(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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))))))) (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ ( (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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))))))) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.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)))) (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))))))) (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (asin.f64 #s(approx (/ (+ ( -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ ( (* v v) -5) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 #s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (.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 #s(literal 1/4 binary64) (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 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.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)))) (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))))))) (-.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (PI.f64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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))))))) (-.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.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)))) (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))))))) (-.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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))))))) (-.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(.f64 (/.f64 (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) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (/.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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))))))) (-.f64 (.f64 (pow.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 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.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)))) (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))))))) (-.f64 (.f64 (pow.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 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 #s(approx (/ (+ ( (* v v) -5) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.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))))) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))

Outputs

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

Calls

4 calls:

21.0ms	v
12.0ms	(*.f64 v v)
12.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
9.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.2%	1	`v`
99.2%	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))))`
99.2%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
99.2%	1	`(*.f64 v v)`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes36.0ms (0.3%)

Memory

-6.8MiB live, 109.8MiB allocated

Counts

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

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

Calls

4 calls:

10.0ms	v
9.0ms	(*.f64 v v)
8.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
7.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.2%	1	`v`
99.2%	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))))`
99.2%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
99.2%	1	`(*.f64 v v)`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes14.0ms (0.1%)

Memory

30.7MiB live, 30.7MiB allocated

Counts

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.2%	1	`v`
99.2%	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))))`
99.2%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
99.2%	1	`(*.f64 v v)`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes11.0ms (0.1%)

Memory

-22.4MiB live, 20.3MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes7.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes7.0ms (0.1%)

Memory

-25.9MiB live, 13.2MiB 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:

3.0ms	(*.f64 v v)
1.0ms	v
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
1.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
97.6%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
97.6%	1	`v`
97.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
97.6%	1	`(*.f64 v v)`

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify25.0ms (0.2%)

Memory

22.4MiB live, 61.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	141
1	57	141
2	60	141
3	62	141
4	63	141

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness937.0ms (7.3%)

Memory

-35.6MiB live, 497.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	329
0	75	446
1	310	230
2	2367	224
0	8788	224
0	107	4086
1	271	4058
2	645	4038
3	1761	4024
4	4239	4024
5	7590	4024
0	8045	3526
0	9	47
0	15	47
1	70	47
2	530	47
3	6828	47
0	8012	41
0	39	516
1	100	510
2	269	506
3	655	506
4	2002	504
5	5117	504
0	8077	457

Stop Event

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

Compiler

Compiled 267 to 119 computations (55.4% saved)

preprocess98.0ms (0.8%)

Memory: 11.9MiB live, 88.9MiB allocated
Remove: (abs v)
Compiler: Compiled 580 to 246 computations (57.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze442.0ms (3.4%)

sample4.2s (32.3%)

explain258.0ms (2%)

preprocess286.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify153.0ms (1.2%)

localize89.0ms (0.7%)

series7.0ms (0.1%)

simplify128.0ms (1%)

rewrite224.0ms (1.7%)

eval102.0ms (0.8%)

prune21.0ms (0.2%)

simplify120.0ms (0.9%)

localize430.0ms (3.3%)

series29.0ms (0.2%)

simplify177.0ms (1.4%)

rewrite235.0ms (1.8%)

eval828.0ms (6.4%)

prune78.0ms (0.6%)

simplify179.0ms (1.4%)

localize813.0ms (6.3%)

series25.0ms (0.2%)

simplify301.0ms (2.3%)

rewrite258.0ms (2%)

eval507.0ms (3.9%)

prune86.0ms (0.7%)

simplify155.0ms (1.2%)

localize706.0ms (5.5%)

series29.0ms (0.2%)

simplify195.0ms (1.5%)

rewrite230.0ms (1.8%)

eval383.0ms (3%)

prune74.0ms (0.6%)

regimes57.0ms (0.4%)

regimes36.0ms (0.3%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

simplify25.0ms (0.2%)

soundness937.0ms (7.3%)

preprocess98.0ms (0.8%)

end0.0ms (0%)

Profiling