Metrics for Falkner and Boettcher, Appendix B, 1

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze440.0ms (3.1%)

Memory

-5.4MiB live, 732.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample4.0s (28.6%)

Memory

51.1MiB live, 5 330.9MiB allocated

Samples

1.4s	3 826×	3	valid
895.0ms	8 187×	0	invalid
448.0ms	2 030×	2	valid
431.0ms	2 105×	1	valid
22.0ms	295×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.5s

adjust: 633.0ms (25.5% of total)

ival-acos: 590.0ms (23.8% of total)

ival-sub: 488.0ms (19.7% of total)

ival-mult: 470.0ms (19% of total)

ival-div: 265.0ms (10.7% of total)

exact: 14.0ms (0.6% of total)

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

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

Bogosity

explain370.0ms (2.6%)

Memory

-27.0MiB live, 253.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
10	241	(-2.8096962185639663e-51)	-	`(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	251	1

Confusion

	Predicted +	Predicted -
+	10	0
-	241	5

Precision

0.0398406374501992

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	10	0	0
-	241	1	4

Precision?

0.03968253968253968

Recall?

1.0

Freqs

test

number	freq
0	5
1	251

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

131.0ms	246×	3	valid
52.0ms	118×	2	valid
18.0ms	122×	1	valid
2.0ms	26×	0	valid

Compiler

Compiled 119 to 31 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-acos: 53.0ms (39.3% of total)

ival-mult: 33.0ms (24.5% of total)

adjust: 21.0ms (15.6% of total)

ival-sub: 14.0ms (10.4% of total)

ival-div: 12.0ms (8.9% of total)

exact: 1.0ms (0.7% of total)

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

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

preprocess532.0ms (3.8%)

Memory

75.1MiB live, 429.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs v)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 9 computations (40% saved)

simplify248.0ms (1.8%)

Memory

-12.3MiB live, 274.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize161.0ms (1.1%)

Memory

-14.1MiB live, 149.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
accuracy	0.0078125	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
accuracy	0.1341400390737681	(.f64 #s(literal 5 binary64) (.f64 v v))
accuracy	0.6634681954423637	(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

125.0ms	123×	3	valid
13.0ms	59×	2	valid
9.0ms	61×	1	valid
1.0ms	13×	0	valid

Compiler

Compiled 52 to 11 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-mult: 79.0ms (60% of total)

ival-sub: 20.0ms (15.2% of total)

ival-acos: 15.0ms (11.4% of total)

adjust: 10.0ms (7.6% of total)

ival-div: 7.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

simplify211.0ms (1.5%)

Memory

32.0MiB live, 389.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite285.0ms (2%)

Memory

-2.1MiB live, 471.3MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 599

Calls

Call 1

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

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

eval129.0ms (0.9%)

Memory: 23.0MiB live, 159.4MiB allocated
Compiler: Compiled 21 217 to 2 103 computations (90.1% saved)

prune95.0ms (0.7%)

Memory

-15.4MiB live, 216.2MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

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

Accuracy

99.0%

Counts

660 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
▶	98.9%	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	98.9%	(-.f64 (PI.f64) (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))))
▶	99.0%	(acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))))
	98.9%	(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
	98.9%	(acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
▶	98.2%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))
	97.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
▶	97.2%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 316 to 180 computations (43% saved)

simplify174.0ms (1.2%)

Memory

5.5MiB live, 241.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)))))
cost-diff	0	(PI.f64)
cost-diff	0	(-.f64 (PI.f64) (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))))
cost-diff	704	(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))
cost-diff	0	(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
cost-diff	0	(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
cost-diff	0	(PI.f64)
cost-diff	0	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff	0	(.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
cost-diff	0	(fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
cost-diff	0	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))
cost-diff	0	#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	(fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))
cost-diff	0	(acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))))
cost-diff	128	(-.f64 (*.f64 v v) #s(literal 1 binary64))

Rules

4 276×	`lower-fma.f32`
4 264×	`lower-fma.f64`
2 104×	`lower-*.f32`
2 098×	`lower-*.f64`
1 652×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	285
0	63	272
1	115	268
2	227	264
3	520	264
4	1319	264
5	3771	264
6	5879	264
7	7681	264
0	8285	261

Stop Event

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

Calls

Call 1

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

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

localize351.0ms (2.5%)

Memory

16.4MiB live, 624.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)))
accuracy	0.015625	(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))
accuracy	0.0234375	(-.f64 (PI.f64) (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))))
accuracy	58.99392319766308	(acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)))))
accuracy	0.00390625	(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
accuracy	0.0078125	(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.0234375	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	58.99392319766308	(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	(*.f64 v v)
accuracy	0.015625	(.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
accuracy	0.4963753715211475	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy	0.6634681954423637	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))
accuracy	0.6634681954423637	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
accuracy	1.1176084652053258	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
accuracy	0.00390625	(fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))
accuracy	0.00390625	(-.f64 (*.f64 v v) #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))
accuracy	0.6634681954423637	(acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))))

Samples

163.0ms	123×	3	valid
65.0ms	59×	2	valid
38.0ms	67×	1	valid
9.0ms	7×	0	valid

Compiler

Compiled 284 to 36 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 224.0ms

ival-acos: 75.0ms (33.5% of total)

ival-div: 46.0ms (20.6% of total)

adjust: 40.0ms (17.9% of total)

ival-mult: 23.0ms (10.3% of total)

ival-add: 22.0ms (9.8% of total)

ival-sub: 15.0ms (6.7% of total)

ival-pi: 2.0ms (0.9% of total)

exact: 1.0ms (0.4% of total)

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

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

series12.0ms (0.1%)

Memory

26.4MiB live, 26.4MiB allocated

Counts

20 → 228

Calls

Call 1

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

Outputs
#s(alt -1 (taylor 0 v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow v 2) 1) (taylor 0 v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow v 2) 1) (taylor 0 v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow v 2) 1) (taylor 0 v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (-.f64 (.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.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 #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.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 #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.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 #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow v 2)) 1) (taylor 0 v) (#s(alt (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.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 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.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 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -5 (taylor inf v) (#s(alt (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.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 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.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 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.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 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -5 (taylor -inf v) (#s(alt (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.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 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.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 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.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 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (patch (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (patch (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (patch (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (patch (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5 (pow v 2)) (taylor inf v) (#s(alt (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (patch (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor inf v) (#s(alt (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (patch (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor inf v) (#s(alt (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (patch (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (pow v 2) (taylor inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 5 (pow v 2)) 1) (taylor 0 v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 5 (pow v 2)) 1) (taylor 0 v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 5 (pow v 2)) 1) (taylor 0 v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor inf v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 5 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 5 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 5 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor -inf v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 5 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 5 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 5 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -4 (pow v 2)) 1) (taylor 0 v) (#s(alt (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (- (* -20 (pow v 2)) 4)) 1) (taylor 0 v) (#s(alt (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (- (* (pow v 2) (- (* -100 (pow v 2)) 20)) 4)) 1) (taylor 0 v) (#s(alt (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/5 (taylor inf v) (#s(alt (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4/25 (/ 1 (pow v 2))) 1/5) (taylor inf v) (#s(alt (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 4/125 (pow v 4)) (* 4/25 (/ 1 (pow v 2)))) 1/5) (taylor inf v) (#s(alt (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 4/125 (pow v 4)) (+ (* 4/25 (/ 1 (pow v 2))) (* 4/625 (/ 1 (pow v 6))))) 1/5) (taylor inf v) (#s(alt (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/5 (taylor -inf v) (#s(alt (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4/25 (/ 1 (pow v 2))) 1/5) (taylor -inf v) (#s(alt (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 4/125 (pow v 4)) (* 4/25 (/ 1 (pow v 2)))) 1/5) (taylor -inf v) (#s(alt (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 4/125 (pow v 4)) (+ (* 4/25 (/ 1 (pow v 2))) (* 4/625 (/ 1 (pow v 6))))) 1/5) (taylor -inf v) (#s(alt (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())

Calls

57 calls:

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

simplify363.0ms (2.6%)

Memory

-46.5MiB live, 356.5MiB allocated

Algorithm

1×	egg-herbie

Rules

16 068×	`lower-fma.f64`
16 068×	`lower-fma.f32`
4 322×	`lower-*.f64`
4 322×	`lower-*.f32`
2 856×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	2410
1	266	2392
2	633	2350
3	1501	2338
4	4683	2328
0	8207	2087

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
-1
(- (pow v 2) 1)
(- (pow v 2) 1)
(- (pow v 2) 1)
(pow v 2)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(pow v 2)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(* 4 (pow v 4))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* 4 (pow v 4))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* 4 v)
(* v (+ 4 (* 4 (pow v 2))))
(* v (+ 4 (* 4 (pow v 2))))
(* v (+ 4 (* 4 (pow v 2))))
(* 4 (pow v 3))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* 4 (pow v 3))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(- (PI) (acos (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(- (PI) (acos (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(- (PI) (acos (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(- (PI) (acos (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(- (PI) (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(- (PI) (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(- (PI) (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(- (PI) (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(- (PI) (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(- (PI) (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(- (PI) (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(- (PI) (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(acos (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(acos (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(acos (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(acos (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
-1
(- (* 5 (pow v 2)) 1)
(- (* 5 (pow v 2)) 1)
(- (* 5 (pow v 2)) 1)
(* 5 (pow v 2))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* 5 (pow v 2))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
-1
(- (* -4 (pow v 2)) 1)
(- (* (pow v 2) (- (* -20 (pow v 2)) 4)) 1)
(- (* (pow v 2) (- (* (pow v 2) (- (* -100 (pow v 2)) 20)) 4)) 1)
-1/5
(- (* 4/25 (/ 1 (pow v 2))) 1/5)
(- (+ (/ 4/125 (pow v 4)) (* 4/25 (/ 1 (pow v 2)))) 1/5)
(- (+ (/ 4/125 (pow v 4)) (+ (* 4/25 (/ 1 (pow v 2))) (* 4/625 (/ 1 (pow v 6))))) 1/5)
-1/5
(- (* 4/25 (/ 1 (pow v 2))) 1/5)
(- (+ (/ 4/125 (pow v 4)) (* 4/25 (/ 1 (pow v 2)))) 1/5)
(- (+ (/ 4/125 (pow v 4)) (+ (* 4/25 (/ 1 (pow v 2))) (* 4/625 (/ 1 (pow v 6))))) 1/5)

Outputs
-1
#s(literal -1 binary64)
(- (pow v 2) 1)
(fma.f64 v v #s(literal -1 binary64))
(- (pow v 2) 1)
(fma.f64 v v #s(literal -1 binary64))
(- (pow v 2) 1)
(fma.f64 v v #s(literal -1 binary64))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v 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))))
(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))))
(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 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 (.f64 v v) (fma.f64 (.f64 v #s(literal 4 binary64)) (fma.f64 v (*.f64 v v) v) #s(literal 4 binary64)) #s(literal -1 binary64))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (.f64 v v))) (.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 v v)) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))) (*.f64 v v)) #s(literal 4 binary64)) #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (.f64 v v))) (.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 v v)) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))) (*.f64 v v)) #s(literal 4 binary64)) #s(literal -5 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.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))
(* -5 (pow v 2))
(.f64 v (.f64 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))
(* -5 (pow v 2))
(.f64 v (.f64 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))
(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))))
(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))))
(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 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 (.f64 v v) (fma.f64 (.f64 v #s(literal 4 binary64)) (fma.f64 v (*.f64 v v) v) #s(literal 4 binary64)) #s(literal -1 binary64))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (.f64 v v))) (.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 v v)) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))) (*.f64 v v)) #s(literal 4 binary64)) #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (.f64 v v))) (.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 v v)) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))) (*.f64 v v)) #s(literal 4 binary64)) #s(literal -5 binary64))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.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))))
(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))))
(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 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 (.f64 v v) (fma.f64 (.f64 v #s(literal 4 binary64)) (fma.f64 v (*.f64 v v) v) #s(literal 4 binary64)) #s(literal -1 binary64))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (.f64 v v))) (.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 v v)) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))) (*.f64 v v)) #s(literal 4 binary64)) #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (.f64 v v))) (.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 v v)) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 v v))) (*.f64 v v)) #s(literal 4 binary64)) #s(literal -5 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(* 4 (pow v 4))
(.f64 v (.f64 (.f64 v v) (.f64 v #s(literal 4 binary64))))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(.f64 v (.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(* 4 (pow v 4))
(.f64 v (.f64 (.f64 v v) (.f64 v #s(literal 4 binary64))))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(.f64 v (.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* v (+ 4 (* 4 (pow v 2))))
(.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))
(* v (+ 4 (* 4 (pow v 2))))
(.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))
(* v (+ 4 (* 4 (pow v 2))))
(.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))
(* 4 (pow v 3))
(.f64 (.f64 v v) (*.f64 v #s(literal 4 binary64)))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))
(* 4 (pow v 3))
(.f64 (.f64 v v) (*.f64 v #s(literal 4 binary64)))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(.f64 v (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -4 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(fma.f64 v (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64))
5
#s(literal 5 binary64)
(+ 5 (* 4 (/ 1 (pow v 2))))
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(-.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (.f64 v v))) (.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(+.f64 (-.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (.f64 v v))) (.f64 v v))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (*.f64 v v))))))
5
#s(literal 5 binary64)
(+ 5 (* 4 (/ 1 (pow v 2))))
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(-.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (.f64 v v))) (.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(+.f64 (-.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (.f64 v v))) (.f64 v v))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (*.f64 v v))))))
1
#s(literal 1 binary64)
(+ 1 (* -4 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(fma.f64 v (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64))
5
#s(literal 5 binary64)
(+ 5 (* 4 (/ 1 (pow v 2))))
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(-.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (.f64 v v))) (.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(+.f64 (-.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (.f64 v v))) (.f64 v v))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (*.f64 v v))))))
5
#s(literal 5 binary64)
(+ 5 (* 4 (/ 1 (pow v 2))))
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(-.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (.f64 v v))) (.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(+.f64 (-.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (.f64 v v))) (.f64 v v))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (*.f64 v v))))))
(- (PI) (acos (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
-1
#s(literal -1 binary64)
(- (* 5 (pow v 2)) 1)
(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
(- (* 5 (pow v 2)) 1)
(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
(- (* 5 (pow v 2)) 1)
(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
(* 5 (pow v 2))
(.f64 v (.f64 v #s(literal 5 binary64)))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
(* 5 (pow v 2))
(.f64 v (.f64 v #s(literal 5 binary64)))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -4 (pow v 2)) 1)
(fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal -1 binary64))
(- (* (pow v 2) (- (* -20 (pow v 2)) 4)) 1)
(fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal -20 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64))
(- (* (pow v 2) (- (* (pow v 2) (- (* -100 (pow v 2)) 20)) 4)) 1)
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal -100 binary64) #s(literal -20 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64))
-1/5
#s(literal -1/5 binary64)
(- (* 4/25 (/ 1 (pow v 2))) 1/5)
(+.f64 (/.f64 #s(literal 4/25 binary64) (*.f64 v v)) #s(literal -1/5 binary64))
(- (+ (/ 4/125 (pow v 4)) (* 4/25 (/ 1 (pow v 2)))) 1/5)
(+.f64 (+.f64 (/.f64 #s(literal 4/25 binary64) (.f64 v v)) #s(literal -1/5 binary64)) (/.f64 #s(literal 4/125 binary64) (.f64 v (.f64 v (.f64 v v)))))
(- (+ (/ 4/125 (pow v 4)) (+ (* 4/25 (/ 1 (pow v 2))) (* 4/625 (/ 1 (pow v 6))))) 1/5)
(+.f64 (/.f64 #s(literal 4/125 binary64) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (/.f64 #s(literal 4/25 binary64) (.f64 v v)) (+.f64 (/.f64 #s(literal 4/625 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (*.f64 v v))))) #s(literal -1/5 binary64))))
-1/5
#s(literal -1/5 binary64)
(- (* 4/25 (/ 1 (pow v 2))) 1/5)
(+.f64 (/.f64 #s(literal 4/25 binary64) (*.f64 v v)) #s(literal -1/5 binary64))
(- (+ (/ 4/125 (pow v 4)) (* 4/25 (/ 1 (pow v 2)))) 1/5)
(+.f64 (+.f64 (/.f64 #s(literal 4/25 binary64) (.f64 v v)) #s(literal -1/5 binary64)) (/.f64 #s(literal 4/125 binary64) (.f64 v (.f64 v (.f64 v v)))))
(- (+ (/ 4/125 (pow v 4)) (+ (* 4/25 (/ 1 (pow v 2))) (* 4/625 (/ 1 (pow v 6))))) 1/5)
(+.f64 (/.f64 #s(literal 4/125 binary64) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (/.f64 #s(literal 4/25 binary64) (.f64 v v)) (+.f64 (/.f64 #s(literal 4/625 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (*.f64 v v))))) #s(literal -1/5 binary64))))

rewrite322.0ms (2.3%)

Memory

24.2MiB live, 443.8MiB allocated

Rules

4 372×	`lower-fma.f32`
4 360×	`lower-fma.f64`
4 202×	`lower-/.f32`
4 194×	`lower-/.f64`
4 090×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	238
0	63	221
1	284	217
2	2011	217
0	8617	217

Stop Event

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

Counts

20 → 1 464

Calls

Call 1

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

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

eval315.0ms (2.2%)

Memory: 23.5MiB live, 441.7MiB allocated
Compiler: Compiled 53 750 to 4 224 computations (92.1% saved)

prune239.0ms (1.7%)

Memory

11.4MiB live, 434.8MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	1 761	14	1 775
Fresh	3	1	4
Picked	3	2	5
Done	0	0	0
Total	1 767	17	1 784

Accuracy

99.0%

Counts

1 784 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.6%	(fma.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	94.8%	(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	97.5%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	97.5%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	2.3%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))))
▶	97.5%	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	97.5%	(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))))
▶	98.9%	(-.f64 (PI.f64) (acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))))
	98.2%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))))
	97.9%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))))
▶	98.9%	(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	99.0%	(acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))))
	98.9%	(acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
▶	98.2%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (.f64 v v) (fma.f64 v v #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal -1 binary64))))
▶	97.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
	18.8%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(approx (+ (* v (* v (+ (* (* v v) 4) 4))) -1) (.f64 v (.f64 (.f64 v v) (.f64 v #s(literal 4 binary64)))))))
✓	97.2%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 592 to 366 computations (38.2% saved)

simplify178.0ms (1.3%)

Memory

-50.4MiB live, 164.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

6 686×	`lower-fma.f32`
6 672×	`lower-fma.f64`
2 218×	`lower-*.f32`
2 202×	`lower-*.f64`
1 946×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	326
0	77	326
1	133	312
2	243	308
3	564	308
4	1355	308
5	2583	308
6	3756	308
7	5216	308
8	7418	308
0	8068	304

Stop Event

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

Calls

Call 1

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

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

localize475.0ms (3.4%)

Memory

-7.5MiB live, 664.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	1.0	(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	58.99392319766308	(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	0.0078125	(/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.01171875	(.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.0234375	(-.f64 (PI.f64) (acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))))
accuracy	58.99392319766308	(acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
accuracy	0.00390625	(fma.f64 (.f64 (.f64 v v) (fma.f64 v v #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal -1 binary64))
accuracy	0.01953125	(.f64 (.f64 v v) (fma.f64 v v #s(literal 1 binary64)))
accuracy	0.4963753715211475	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (.f64 v v) (fma.f64 v v #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal -1 binary64)))
accuracy	0.6634681954423637	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (.f64 v v) (fma.f64 v v #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal -1 binary64))))
accuracy	0	(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy	0	(*.f64 v #s(literal 4 binary64))
accuracy	0.6634681954423637	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
accuracy	0.6852540209499093	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy	0	(*.f64 v #s(literal -5 binary64))
accuracy	0.00390625	(fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.6634681954423637	(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Samples

232.0ms	123×	3	valid
70.0ms	67×	1	valid
65.0ms	59×	2	valid
2.0ms	7×	0	valid

Compiler

Compiled 318 to 44 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 284.0ms

ival-acos: 102.0ms (36% of total)

adjust: 60.0ms (21.2% of total)

ival-div: 49.0ms (17.3% of total)

ival-mult: 28.0ms (9.9% of total)

ival-sub: 18.0ms (6.3% of total)

ival-add: 15.0ms (5.3% of total)

ival-sqrt: 9.0ms (3.2% of total)

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

exact: 1.0ms (0.4% of total)

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

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

series13.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

23 → 216

Calls

Call 1

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

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

Calls

54 calls:

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

simplify236.0ms (1.7%)

Memory

40.7MiB live, 310.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 406×	`lower-fma.f64`
12 406×	`lower-fma.f32`
3 658×	`lower-*.f64`
3 658×	`lower-*.f32`
2 076×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	2299
1	219	2263
2	536	2225
3	1658	2220
4	5266	2214
0	8084	1947

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

rewrite377.0ms (2.7%)

Memory

-55.8MiB live, 451.5MiB allocated

Rules

5 170×	`lower-fma.f32`
5 156×	`lower-fma.f64`
4 596×	`lower-*.f32`
4 580×	`lower-*.f64`
3 794×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	256
0	77	226
1	309	216
2	2088	215
0	9120	211

Stop Event

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

Counts

23 → 1 202

Calls

Call 1

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

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

eval253.0ms (1.8%)

Memory: 30.0MiB live, 439.4MiB allocated
Compiler: Compiled 48 287 to 4 414 computations (90.9% saved)

prune325.0ms (2.3%)

Memory

6.6MiB live, 402.6MiB allocated

Pruning

23 alts after pruning (16 fresh and 7 done)

	Pruned	Kept	Total
New	1 616	9	1 625
Fresh	3	7	10
Picked	0	5	5
Done	0	2	2
Total	1 619	23	1 642

Accuracy

99.0%

Counts

1 642 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.6%	(fma.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	94.8%	(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
▶	97.5%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	97.5%	(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	2.0%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	96.0%	(-.f64 (.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	97.5%	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (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))))))
✓	97.5%	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	97.5%	(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))))
	96.6%	(-.f64 (.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	96.0%	(-.f64 (.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	98.9%	(-.f64 (PI.f64) (acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))))
▶	97.9%	(-.f64 (PI.f64) (acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* v v) -1)) (-.f64 #s(literal -1 binary64) (*.f64 v v))))))
	97.3%	(-.f64 (PI.f64) (acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* v v) -1)) #s(literal -1 binary64)))))
	98.2%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))))
	97.9%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))))
✓	98.9%	(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	99.0%	(acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))))
▶	98.9%	(acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
✓	98.2%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (.f64 v v) (fma.f64 v v #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal -1 binary64))))
▶	97.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))
✓	97.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓	97.2%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 770 to 487 computations (36.8% saved)

simplify233.0ms (1.7%)

Memory

11.8MiB live, 195.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
cost-diff	0	(cbrt.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
cost-diff	0	(.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
cost-diff	0	(-.f64 (.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff	0	(PI.f64)
cost-diff	0	(sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
cost-diff	0	(fma.f64 (sqrt.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
cost-diff	320	(*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
cost-diff	0	(.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* v v) -1)) (-.f64 #s(literal -1 binary64) (*.f64 v v))))
cost-diff	0	(acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* v v) -1)) (-.f64 #s(literal -1 binary64) (*.f64 v v)))))
cost-diff	0	(PI.f64)
cost-diff	0	(-.f64 (PI.f64) (acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* v v) -1)) (-.f64 #s(literal -1 binary64) (*.f64 v v))))))
cost-diff	0	(*.f64 v v)
cost-diff	0	(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))
cost-diff	0	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))
cost-diff	0	(*.f64 v #s(literal 5 binary64))
cost-diff	0	(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
cost-diff	0	(acos.f64 (.f64 (fma.f64 v (.f64 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 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))

Rules

7 730×	`lower-fma.f32`
7 720×	`lower-fma.f64`
2 764×	`lower-*.f32`
2 748×	`lower-*.f64`
1 860×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	418
0	88	416
1	144	416
2	248	414
3	487	414
4	1014	414
5	1875	414
6	3238	414
7	4867	414
8	6681	414
0	8209	404

Stop Event

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

Calls

Call 1

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

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

localize616.0ms (4.4%)

Memory

-14.8MiB live, 607.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.0	(cbrt.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
accuracy	1.0	(cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
accuracy	58.99392319766308	(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	0.0078125	(/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.951503759768442	(fma.f64 (sqrt.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
accuracy	1.0	(*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
accuracy	58.99392319766308	(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.01171875	(.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* v v) -1)) (-.f64 #s(literal -1 binary64) (*.f64 v v))))
accuracy	0.0234375	(-.f64 (PI.f64) (acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* v v) -1)) (-.f64 #s(literal -1 binary64) (*.f64 v v))))))
accuracy	0.6248908804337883	#s(approx (/ 1 (+ (* v v) -1)) (-.f64 #s(literal -1 binary64) (*.f64 v v)))
accuracy	58.99392319766308	(acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* v v) -1)) (-.f64 #s(literal -1 binary64) (*.f64 v v)))))
accuracy	0	(*.f64 v v)
accuracy	0.010097509768442016	(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))
accuracy	0.6634681954423637	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))
accuracy	0.6852540209499093	#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))
accuracy	0.00390625	(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
accuracy	0.0078125	(/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))
accuracy	0.01171875	(.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
accuracy	0.6634681954423637	(acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))

Samples

301.0ms	123×	3	valid
132.0ms	59×	2	valid
97.0ms	67×	1	valid
3.0ms	7×	0	valid

Compiler

Compiled 417 to 51 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 414.0ms

ival-acos: 135.0ms (32.6% of total)

adjust: 95.0ms (22.9% of total)

ival-mult: 54.0ms (13% of total)

ival-div: 34.0ms (8.2% of total)

ival-add: 28.0ms (6.8% of total)

ival-pow: 18.0ms (4.3% of total)

ival-sub: 15.0ms (3.6% of total)

const: 13.0ms (3.1% of total)

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

ival-cbrt: 5.0ms (1.2% of total)

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

ival-pi: 2.0ms (0.5% of total)

ival-fabs: 2.0ms (0.5% of total)

exact: 1.0ms (0.2% of total)

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

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

series13.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

26 → 216

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 v (.f64 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 v (.f64 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 v (.f64 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 v (.f64 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 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (patch (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 v #s(literal 5 binary64)) (patch (.f64 v #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) (patch (acos.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))) (patch #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())
#s(alt (-.f64 (PI.f64) (acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* v v) -1)) (-.f64 #s(literal -1 binary64) (.f64 v v)))))) (patch (-.f64 (PI.f64) (acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx (/ 1 (+ ( v v) -1)) (-.f64 #s(literal -1 binary64) (*.f64 v v)))))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* v v) -1)) (-.f64 #s(literal -1 binary64) (.f64 v v))))) (patch (acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx (/ 1 (+ ( v v) -1)) (-.f64 #s(literal -1 binary64) (*.f64 v v))))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* v v) -1)) (-.f64 #s(literal -1 binary64) (.f64 v v)))) (patch (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx (/ 1 (+ ( v v) -1)) (-.f64 #s(literal -1 binary64) (*.f64 v v)))) #<representation binary64>) () ())
#s(alt (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (patch (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (patch (fma.f64 (sqrt.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (patch (sqrt.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (-.f64 (.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (patch (.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) #<representation binary64>) () ())
#s(alt (cbrt.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (patch (cbrt.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (patch (.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))))) #<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 #s(approx (/ 1 (+ (* v v) -1)) (-.f64 #s(literal -1 binary64) (.f64 v v))) (patch #s(approx (/ 1 (+ ( v v) -1)) (-.f64 #s(literal -1 binary64) (*.f64 v v))) #<representation binary64>) () ())
#s(alt (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (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 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (patch (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())

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

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(+ (* (sqrt (* (PI) (pow (PI) 2/3))) (pow (PI) 1/6)) (neg (acos (/ (+ (* v (* v 5)) -1) (+ (* v v) -1)))))
1.0ms	v	@	0	(- (* (cbrt (* (* (PI) (sqrt (PI))) (sqrt (* (PI) (sqrt (PI)))))) (cbrt (sqrt (* (PI) (sqrt (PI)))))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))
0.0ms	v	@	0	(* v 5)
0.0ms	v	@	inf	(/ -1 (+ (* v v) -1))
0.0ms	v	@	0	(/ -1 (+ (* v v) -1))

simplify391.0ms (2.8%)

Memory

-32.3MiB live, 254.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14 200×	`lower-fma.f64`
14 200×	`lower-fma.f32`
3 428×	`lower-*.f64`
3 428×	`lower-*.f32`
3 396×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	2453
1	229	2407
2	603	2381
3	1805	2364
4	4394	2364
5	7877	2364
0	8366	2127

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

rewrite382.0ms (2.7%)

Memory

39.1MiB live, 458.5MiB allocated

Rules

5 256×	`lower-fma.f32`
5 246×	`lower-fma.f64`
4 126×	`lower-*.f32`
4 110×	`lower-*.f64`
3 400×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	313
0	88	268
1	334	252
2	2197	242
0	8798	235

Stop Event

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

Counts

26 → 1 058

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (.f64 (.f64 #s(literal 5 binary64) (*.f64 v v)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) (.f64 #s(literal 5 binary64) (.f64 v v))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 5 binary64) (*.f64 v v)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 v v #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))) (fma.f64 v (neg.f64 v) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))) (fma.f64 v (neg.f64 v) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 v v #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64))) (/.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64))) (/.f64 (/.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 125 binary64)) (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 v (neg.f64 v) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 125 binary64)) (.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (fma.f64 v (neg.f64 v) #s(literal 1 binary64)) (.f64 (fma.f64 v (neg.f64 v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (.f64 (fma.f64 v (neg.f64 v) #s(literal 1 binary64)) (.f64 #s(literal 5 binary64) (.f64 v v))) (*.f64 (fma.f64 v (neg.f64 v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
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(-.f64 (/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 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))))) (/.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 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.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 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 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #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 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 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))) (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 (neg.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #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 (neg.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #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))))))
(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #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))))))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(fabs.f64 (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(pow.f64 (PI.f64) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/4 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/12 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/12 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 7/6 binary64)) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/18 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/6 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64)))) #s(literal 1/3 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64)))) #s(literal 1/3 binary64))))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (log.f64 (PI.f64)))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 6 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 7/6 binary64)) #s(literal 1/3 binary64)) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/18 binary64)) #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))

eval1.1s (7.5%)

Memory: -104.4MiB live, 776.5MiB allocated
Compiler: Compiled 60 724 to 5 459 computations (91% saved)

prune248.0ms (1.8%)

Memory

21.4MiB live, 578.9MiB allocated

Pruning

26 alts after pruning (17 fresh and 9 done)

	Pruned	Kept	Total
New	1 949	8	1 957
Fresh	2	9	11
Picked	3	2	5
Done	0	7	7
Total	1 954	26	1 980

Accuracy

99.0%

Counts

1 980 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.6%	(fma.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	94.8%	(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	97.5%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	96.4%	(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)) #s(approx (/ 1 (+ (* v v) -1)) (-.f64 #s(literal -1 binary64) (*.f64 v v)))))))
	2.0%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (- 1 ( 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	96.0%	(-.f64 (.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	97.5%	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (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))))))
✓	97.5%	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	96.6%	(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	97.5%	(-.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))))
	96.0%	(-.f64 (.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	96.0%	(-.f64 (.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
	97.9%	(-.f64 (PI.f64) (acos.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* v v) -1)) (-.f64 #s(literal -1 binary64) (*.f64 v v))))))
✓	98.9%	(-.f64 (PI.f64) (acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))))
	97.3%	(-.f64 (PI.f64) (acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* v v) -1)) #s(literal -1 binary64)))))
	98.2%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))))
	97.9%	(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))))
✓	98.9%	(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	99.0%	(acos.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))))
✓	98.9%	(acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
	97.9%	(acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx (/ -1 (+ (* v v) -1)) (fma.f64 v v #s(literal 1 binary64)))))
	97.3%	(acos.f64 (.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) #s(approx (/ -1 (+ (* v v) -1)) #s(literal 1 binary64))))
✓	98.2%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (.f64 (.f64 v v) (fma.f64 v v #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal -1 binary64))))
✓	97.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))
✓	97.9%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓	97.2%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 1 278 to 487 computations (61.9% saved)

regimes49.0ms (0.3%)

Memory

-0.4MiB live, 46.1MiB allocated

Counts

41 → 1

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	(*.f64 v v)
10.0ms	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))))
8.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes53.0ms (0.4%)

Memory

-54.1MiB live, 20.9MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

40.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
4.0ms	v
4.0ms	(*.f64 v v)
4.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Results

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

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes14.0ms (0.1%)

Memory

28.0MiB live, 28.0MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

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

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes13.0ms (0.1%)

Memory

-22.9MiB live, 25.7MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes9.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.9%	1	`v`
97.9%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
97.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
97.9%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes8.0ms (0.1%)

Memory

-31.7MiB live, 14.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.9%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
97.9%	1	`v`
97.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
97.9%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes4.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.2%	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))))`
97.2%	1	`v`
97.2%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
97.2%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

simplify7.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	139
1	60	139
2	69	139
3	78	139
4	80	139

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness755.0ms (5.4%)

Memory

3.0MiB live, 660.1MiB allocated

Rules

16 068×	`lower-fma.f64`
16 068×	`lower-fma.f32`
7 768×	`lower-fma.f64`
7 768×	`lower-fma.f32`
4 956×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	44
0	15	44
1	70	44
2	530	44
3	6828	44
0	8012	38
0	39	480
1	100	474
2	269	470
3	659	470
4	2016	468
5	5113	468
0	8075	421
0	112	2410
1	266	2392
2	633	2350
3	1501	2338
4	4683	2328
0	8207	2087

Stop Event

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

Compiler

Compiled 222 to 118 computations (46.8% saved)

preprocess65.0ms (0.5%)

Memory: 6.9MiB live, 95.5MiB allocated
Remove: (abs v)
Compiler: Compiled 236 to 124 computations (47.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze440.0ms (3.1%)

sample4.0s (28.6%)

explain370.0ms (2.6%)

preprocess532.0ms (3.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify248.0ms (1.8%)

localize161.0ms (1.1%)

series4.0ms (0%)

simplify211.0ms (1.5%)

rewrite285.0ms (2%)

eval129.0ms (0.9%)

prune95.0ms (0.7%)

simplify174.0ms (1.2%)

localize351.0ms (2.5%)

series12.0ms (0.1%)

simplify363.0ms (2.6%)

rewrite322.0ms (2.3%)

eval315.0ms (2.2%)

prune239.0ms (1.7%)

simplify178.0ms (1.3%)

localize475.0ms (3.4%)

series13.0ms (0.1%)

simplify236.0ms (1.7%)

rewrite377.0ms (2.7%)

eval253.0ms (1.8%)

prune325.0ms (2.3%)

simplify233.0ms (1.7%)

localize616.0ms (4.4%)

series13.0ms (0.1%)

simplify391.0ms (2.8%)

rewrite382.0ms (2.7%)

eval1.1s (7.5%)

prune248.0ms (1.8%)

regimes49.0ms (0.3%)

regimes53.0ms (0.4%)

regimes14.0ms (0.1%)

regimes13.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

simplify7.0ms (0.1%)

soundness755.0ms (5.4%)

preprocess65.0ms (0.5%)

end0.0ms (0%)

Profiling