Metrics for Given's Rotation SVD example

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze554.0ms (5.9%)

Memory

-36.1MiB live, 806.8MiB allocated; 224ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	48.6%	51.4%	0%	0%	0%	0
0%	0%	48.6%	51.4%	0%	0%	0%	1
0%	0%	48.6%	51.4%	0%	0%	0%	2
0%	0%	48.6%	51.4%	0%	0%	0%	3
0%	0%	48.6%	51.4%	0%	0%	0%	4
31.3%	15.2%	33.4%	51.4%	0%	0%	0%	5
34.4%	16.7%	31.9%	51.4%	0%	0%	0%	6
51.6%	25.1%	23.6%	51.4%	0%	0%	0%	7
53.1%	25.8%	22.8%	51.4%	0%	0%	0%	8
62.5%	30.4%	18.2%	51.4%	0%	0%	0%	9
63.7%	31%	17.7%	51.4%	0%	0%	0%	10
68.6%	33.3%	15.3%	51.4%	0%	0%	0%	11
69.2%	33.7%	15%	51.4%	0%	0%	0%	12

Compiler

Compiled 27 to 21 computations (22.2% saved)

sample2.5s (26.8%)

Memory

56.9MiB live, 3 162.4MiB allocated; 666ms collecting garbage

Samples

1.0s	6 191×	0	valid
387.0ms	1 007×	2	valid
227.0ms	426×	3	valid
227.0ms	632×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-mult: 415.0ms (26.8% of total)

const: 310.0ms (20% of total)

ival-sqrt: 186.0ms (12% of total)

adjust: 146.0ms (9.4% of total)

ival-add: 146.0ms (9.4% of total)

ival-fabs: 113.0ms (7.3% of total)

ival-<: 108.0ms (7% of total)

ival-div: 97.0ms (6.3% of total)

ival-and: 12.0ms (0.8% of total)

exact: 11.0ms (0.7% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain226.0ms (2.4%)

Memory

22.5MiB live, 346.0MiB allocated; 64ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
61	0	-	0	-	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`
29	0	-	1	(6.115975533649082e-223 -2.6895667146525948e-61)	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
21	1	(6.115975533649082e-223 -2.6895667146525948e-61)	0	-	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
0	0	-	0	-	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`(*.f64 x x)`
0	0	-	0	-	`p`
0	0	-	0	-	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`
0	0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
0	0	-	0	-	`#s(literal 1/2 binary64)`
0	0	-	0	-	`(*.f64 #s(literal 4 binary64) p)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`	oflow-rescue	61	0
↳	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`	overflow	61
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	overflow	61
`sqrt.f64`	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`	uflow-rescue	28	0
↳	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`	underflow	7
↳	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`	underflow	35
↳	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	underflow	35
↳	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`	underflow	16
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	underflow	70
`+.f64`	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	cancellation	22	0

Confusion

	Predicted +	Predicted -
+	50	0
-	61	145

Precision

0.45045045045045046

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	50	0	0
-	61	0	145

Precision?

0.45045045045045046

Recall?

1.0

Freqs

test

number	freq
0	145
1	111

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms	406×	0	valid
19.0ms	56×	2	valid
10.0ms	26×	3	valid
5.0ms	24×	1	valid

Compiler

Compiled 209 to 46 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 16.0ms (33.3% of total)

ival-sqrt: 10.0ms (20.8% of total)

ival-div: 9.0ms (18.7% of total)

ival-add: 7.0ms (14.6% of total)

adjust: 6.0ms (12.5% of total)

exact: 1.0ms (2.1% of total)

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

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

preprocess224.0ms (2.4%)

Memory

4.0MiB live, 151.3MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	89
1	95	87
2	266	87
3	636	87
4	1863	87
5	7537	87
0	14	17
0	23	17
1	44	17
2	108	17
3	271	17
4	865	17
5	4673	17
0	8739	11

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Outputs

(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))

(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 (*.f64 p #s(literal 2 binary64)) x)) x #s(literal 1/2 binary64)))

Symmetry

(abs p)

Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.8%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify147.0ms (1.6%)

Memory

-12.2MiB live, 97.8MiB allocated; 17ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
cost-diff	1	(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
cost-diff	1	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
cost-diff	4	(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	94
0	23	94
1	44	94
2	108	94
3	271	94
4	865	94
5	4673	94
0	8739	66

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
#s(literal 1 binary64)
(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
x
(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
(.f64 (.f64 #s(literal 4 binary64) p) p)
(*.f64 #s(literal 4 binary64) p)
#s(literal 4 binary64)
p
(*.f64 x x)

Outputs
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 (*.f64 p #s(literal 2 binary64)) x)) x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 (*.f64 p #s(literal 2 binary64)) x)) x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
(-.f64 (/.f64 x (hypot.f64 (*.f64 p #s(literal 2 binary64)) x)) #s(literal -1 binary64))
#s(literal 1 binary64)
(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
(/.f64 x (hypot.f64 (*.f64 p #s(literal 2 binary64)) x))
x
(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
(hypot.f64 (*.f64 p #s(literal 2 binary64)) x)
(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
(fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))
(.f64 (.f64 #s(literal 4 binary64) p) p)
(.f64 (.f64 p #s(literal 4 binary64)) p)
(*.f64 #s(literal 4 binary64) p)
(*.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
p
(*.f64 x x)

localize50.0ms (0.5%)

Memory

-16.4MiB live, 73.0MiB allocated; 7ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.015625	(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
accuracy	4.194490555545207	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
accuracy	6.7301089278517585	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
accuracy	14.191705021489442	(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))

Samples

22.0ms	203×	0	valid
11.0ms	28×	2	valid
5.0ms	13×	3	valid
2.0ms	12×	1	valid

Compiler

Compiled 96 to 16 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 8.0ms (32.1% of total)

ival-sqrt: 8.0ms (32.1% of total)

ival-div: 3.0ms (12.1% of total)

adjust: 3.0ms (12.1% of total)

ival-add: 3.0ms (12.1% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

-7.5MiB live, 37.9MiB allocated; 4ms collecting garbage

Counts

5 → 83

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))

Outputs
x
(+ x (* 2 (/ (pow p 2) x)))
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
1
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(pow x 2)
(+ (* 4 (pow p 2)) (pow x 2))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))
2
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(* 2 p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))
(* 4 (pow p 2))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3))))))
(+ 1 (* 1/2 (/ x p)))
(+ 1 (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))
(+ 1 (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))))
(* -2 p)
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
(+ 1/2 (* -1/4 (/ x p)))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ 1 (* -1/2 (/ x p)))
(+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
(+ 1 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)))
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))
(+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))
(+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))
(/ (pow p 2) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))
(* 2 (/ (pow p 2) (pow x 2)))
(/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))
(/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2)))) (pow x 2))
(/ (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2))))) (pow x 2))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((sqrt (+ (* (* 4 p) p) (* x x))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (* 4 p) p) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))
4.0ms	x	@	inf	((sqrt (+ (* (* 4 p) p) (* x x))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (* 4 p) p) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))
3.0ms	p	@	0	((sqrt (+ (* (* 4 p) p) (* x x))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (* 4 p) p) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))
3.0ms	p	@	inf	((sqrt (+ (* (* 4 p) p) (* x x))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (* 4 p) p) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))
2.0ms	x	@	0	((sqrt (+ (* (* 4 p) p) (* x x))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (* 4 p) p) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))

simplify176.0ms (1.9%)

Memory

5.5MiB live, 195.7MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	2187
1	1515	2071
2	7204	2044
0	8356	1906

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 82

Calls

Call 1

Inputs
x
(+ x (* 2 (/ (pow p 2) x)))
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
1
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(pow x 2)
(+ (* 4 (pow p 2)) (pow x 2))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))
2
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(* 2 p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))
(* 4 (pow p 2))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3))))))
(+ 1 (* 1/2 (/ x p)))
(+ 1 (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))
(+ 1 (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))))
(* -2 p)
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
(+ 1/2 (* -1/4 (/ x p)))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ 1 (* -1/2 (/ x p)))
(+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
(+ 1 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)))
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))
(+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))
(+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))
(/ (pow p 2) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))
(* 2 (/ (pow p 2) (pow x 2)))
(/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))
(/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2)))) (pow x 2))
(/ (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2))))) (pow x 2))

Outputs
x
(+ x (* 2 (/ (pow p 2) x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (.f64 p p) x) x) #s(literal -2 binary64) #s(literal 2 binary64)) x) (.f64 p p) x)
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 p (/.f64 p (pow.f64 x #s(literal 5 binary64)))) #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 2 binary64) x)) (*.f64 p p) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) p) p) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 p p) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 p (/.f64 p (pow.f64 x #s(literal 6 binary64)))) #s(literal -10 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (.f64 p p) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(+ (* 4 (pow p 2)) (pow x 2))
(fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 (neg.f64 p) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(fma.f64 (/.f64 (fma.f64 (.f64 p p) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x))) (sqrt.f64 #s(literal 2 binary64))) (.f64 p p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))
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(.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 (.f64 p p) x) x) #s(literal 2 binary64) #s(literal 1 binary64)))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 p p) x) x)) #s(literal 1 binary64)))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 p p) x) x)) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) #s(literal 1 binary64))))
(/ (pow p 2) (pow x 2))
(/.f64 (/.f64 (*.f64 p p) x) x)
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) x) (.f64 p p)) (*.f64 x x))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (.f64 x x))
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) p) p) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 (pow.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p))) (.f64 x x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(.f64 (neg.f64 p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))
(/.f64 (fma.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1 binary64) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 2 binary64)) p) p)))) (.f64 (pow.f64 x #s(literal 4 binary64)) p)) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 (*.f64 x x) p))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -128 binary64) (pow.f64 p #s(literal 8 binary64)) (-.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) p) p) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 (pow.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1 binary64) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 2 binary64)) p) p))) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) p) (/.f64 #s(literal -12 binary64) p)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1 binary64) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 2 binary64)) p) p))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))) p) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (neg.f64 x))
(* 2 (/ (pow p 2) (pow x 2)))
(.f64 (/.f64 (/.f64 (.f64 p p) x) x) #s(literal 2 binary64))
(/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) p) p (/.f64 (/.f64 (neg.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 6 binary64))) x) x)) (*.f64 x x))
(/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) x) (fma.f64 (.f64 #s(literal 2 binary64) p) p (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1 binary64) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(/ (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) p) p) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 (pow.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64)))) (pow.f64 x #s(literal 6 binary64))) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x))) (fma.f64 (.f64 #s(literal 2 binary64) p) p (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1 binary64) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))

rewrite70.0ms (0.8%)

Memory

9.2MiB live, 61.6MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	66
0	23	66
1	79	66
0	557	59

Stop Event

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

Counts

5 → 82

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))

Outputs
(.f64 (pow.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (neg.f64 x) x))))
(/.f64 (hypot.f64 (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)) (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(exp.f64 (.f64 (log.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))) #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal -1 binary64))))
(.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))))))
(+.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64))) (-.f64 (.f64 x x) (.f64 (*.f64 p #s(literal 4 binary64)) p)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 p p) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)) (pow.f64 (.f64 (*.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 p p) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (*.f64 p #s(literal 4 binary64)) p) x) x))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 p p) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)) (pow.f64 (.f64 (*.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (.f64 (.f64 p #s(literal 4 binary64)) p))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (.f64 p #s(literal 4 binary64)) p))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 p #s(literal 4 binary64)) p))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (.f64 p #s(literal 4 binary64)) p))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 p #s(literal 4 binary64)) p))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 p #s(literal 4 binary64)) p))
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))
(fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (neg.f64 x) x))))
(-.f64 (.f64 x x) (.f64 (neg.f64 (*.f64 p #s(literal 4 binary64))) p))
(-.f64 (.f64 x x) (.f64 (neg.f64 p) (*.f64 p #s(literal 4 binary64))))
(-.f64 (.f64 x x) (.f64 #s(literal -4 binary64) (*.f64 p p)))
(-.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)) (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)) (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64)))))
(+.f64 (.f64 x x) (.f64 (*.f64 p #s(literal 4 binary64)) p))
(+.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) (*.f64 x x))
(.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal -1 binary64))))
(pow.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))))) (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))))))
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))))

eval27.0ms (0.3%)

Memory: -9.5MiB live, 35.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 5 338 to 1 001 computations (81.2% saved)

prune13.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	145	16	161
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	146	16	162

Accuracy

99.7%

Counts

162 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.4%	(.f64 (sqrt.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
▶	82.8%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	54.5%	(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
▶	82.8%	(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
	54.5%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))))) (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))))))))
	82.8%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))
	78.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))))))
	6.2%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (neg.f64 x))))))
	50.4%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
	10.2%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (.f64 x x))))
▶	12.9%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x)))
	30.1%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
	39.7%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
▶	54.9%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
▶	18.3%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x)))
	23.4%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 (neg.f64 p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))

Compiler

Compiled 952 to 614 computations (35.5% saved)

simplify130.0ms (1.4%)

Memory

4.2MiB live, 146.1MiB allocated; 22ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p))
cost-diff	0	(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
cost-diff	0	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x)))
cost-diff	5	(fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
cost-diff	0	(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
cost-diff	0	(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
cost-diff	0	(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (*.f64 p p) x)
cost-diff	0	(/.f64 (/.f64 (*.f64 p p) x) x)
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x)))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
cost-diff	1	(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	1	(.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	556
0	90	546
1	173	546
2	470	543
3	2007	534
4	7981	534
0	8007	525

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
x
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(.f64 (.f64 p #s(literal 4 binary64)) p)
(*.f64 p #s(literal 4 binary64))
p
#s(literal 4 binary64)
#s(literal 3 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x))
(/.f64 (/.f64 (*.f64 p p) x) x)
(/.f64 (*.f64 p p) x)
(*.f64 p p)
p
x
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
x
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(.f64 (.f64 p #s(literal 4 binary64)) p)
(*.f64 p #s(literal 4 binary64))
p
#s(literal 4 binary64)
#s(literal 1/2 binary64)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p))
#s(literal 1/4 binary64)
(.f64 (.f64 x x) p)
(*.f64 x x)
x
p
(/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
#s(literal -12 binary64)
(pow.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 p (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 x)

Outputs
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) x #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) x #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
x
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(.f64 (.f64 p #s(literal 4 binary64)) p)
(.f64 (.f64 #s(literal 4 binary64) p) p)
(*.f64 p #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) p)
p
#s(literal 4 binary64)
#s(literal 3 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 (/.f64 x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) x #s(literal 1 binary64))
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64))
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x))
(/.f64 (/.f64 (*.f64 p p) x) x)
(/.f64 (*.f64 p p) x)
(*.f64 p p)
p
x
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) x #s(literal 1/2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
x
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(.f64 (.f64 p #s(literal 4 binary64)) p)
(.f64 (.f64 #s(literal 4 binary64) p) p)
(*.f64 p #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) p)
p
#s(literal 4 binary64)
#s(literal 1/2 binary64)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) p (/.f64 (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 x x) p)))))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
(.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) p (/.f64 (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 x x) p))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) p (/.f64 (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 x x) p))))
(/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p))
#s(literal 1/4 binary64)
(.f64 (.f64 x x) p)
(*.f64 x x)
x
p
(/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -12 binary64)) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -12 binary64)) (pow.f64 p #s(literal 4 binary64)))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))
#s(literal -12 binary64)
(pow.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 p (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) p)
(neg.f64 x)

localize319.0ms (3.4%)

Memory

-0.2MiB live, 325.2MiB allocated; 45ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.43359375	(*.f64 p (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.7310712585148725	(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
accuracy	13.177641437788552	(fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
accuracy	49.107578616634825	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x)))
accuracy	0.00390625	(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
accuracy	4.191896263751658	(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	6.7301089278517585	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	14.191705021489442	(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
accuracy	2.1336542466569455	(/.f64 (*.f64 p p) x)
accuracy	2.865258411791044	(/.f64 (/.f64 (*.f64 p p) x) x)
accuracy	6.7301089278517585	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x)))
accuracy	48.31565461956239	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x))
accuracy	6.7301089278517585	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
accuracy	29.25985490387398	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))
accuracy	4.1347635660152235	(+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64))
accuracy	6.7301089278517585	(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy	8.926076481405357	(-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64))
accuracy	14.191705021489442	(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))

Samples

145.0ms	81×	2	valid
50.0ms	129×	0	valid
41.0ms	32×	1	valid
20.0ms	14×	3	valid

Compiler

Compiled 535 to 53 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-mult: 69.0ms (39.2% of total)

adjust: 29.0ms (16.5% of total)

ival-div: 28.0ms (15.9% of total)

ival-sqrt: 20.0ms (11.4% of total)

ival-add: 14.0ms (8% of total)

ival-pow: 12.0ms (6.8% of total)

ival-sub: 2.0ms (1.1% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

series123.0ms (1.3%)

Memory

4.4MiB live, 103.8MiB allocated; 16ms collecting garbage

Counts

21 → 213

Calls

Call 1

Inputs
(.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x))
(/.f64 (/.f64 (*.f64 p p) x) x)
(/.f64 (*.f64 p p) x)
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
(/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p))
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64))
(+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 p (sqrt.f64 #s(literal 2 binary64)))

Outputs
1
(+ 1 (* -3 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* -1/4 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10))))))) (* 3 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -1/4 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12))))))))) (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))))) (* 3 (/ 1 (pow x 2))))))
(+ 1 (* -2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 10 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -44 (/ (pow p 2) (pow x 6))) (* 10 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (+ (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 108 (/ 1 (pow x 6)))) (+ (* -2 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))) (pow x 2))) (* -1 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (* (pow x 2) (pow (sqrt 2) 2)))))))) (sqrt 2))))))))
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 1/2 (* (pow p 2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* 1/2 (* (pow p 2) (- (+ (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 108 (/ 1 (pow x 6)))) (* -2 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))) (pow x 2)))))) (* 1/2 (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4))))))) (/ 1 (pow x 2)))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) x)
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
x
(+ x (* 2 (/ (pow p 2) x)))
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(* p (* (sqrt 1/2) (sqrt 2)))
(* p (+ (* -3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* p (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (* 3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))))
(/ 1/4 (* p (pow x 2)))
(* -2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 70 (/ (pow p 2) (pow x 8))) (* 20 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
2
(+ 2 (* -6 (/ (pow p 2) (pow x 2))))
(+ 2 (* (pow p 2) (- (* -1/2 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10))))))) (* 6 (/ 1 (pow x 2))))))
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -1/2 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12))))))))) (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))))) (* 6 (/ 1 (pow x 2))))))
(* p (sqrt 2))
1/2
(+ 1/2 (* 1/16 (/ (pow x 3) (pow p 3))))
(+ 1/2 (+ (* -1/2048 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/16 (/ (pow x 3) (pow p 3)))))
(+ 1/2 (+ (* -2 (/ (* (pow x 3) (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))))) (pow p 7))) (+ (* -1/2048 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/16 (/ (pow x 3) (pow p 3))))))
(+ 1 (* -1/2 (/ x p)))
(+ 1 (+ (* -1/2 (/ x p)) (* 1/4 (/ (pow x 2) (pow p 2)))))
(+ 1 (+ (* -1/2 (/ x p)) (+ (* 1/16 (/ (pow x 3) (pow p 3))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2))))) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2)))))) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))))))) (pow p 3))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2))))) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))))
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (pow p 2))) (* 1/4 (/ x p))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (pow p 2))) (+ (* -1/2 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))))) (pow p 3))) (* 1/4 (/ x p)))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3))))))
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))
(* 1/2 (/ x p))
(/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p)
(* 2 p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))
(* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) (pow p 2))))
(* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))
(* (pow p 3) (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) x))) (* 3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2))))))
-1
(- (* 1/2 (/ x p)) 1)
(- (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))) 1)
(- (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))) 1)
(+ 1 (* 1/8 (/ (pow x 3) (pow p 3))))
(+ 1 (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/8 (/ (pow x 3) (pow p 3)))))
(+ 1 (+ (* -4 (/ (* (pow x 3) (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))))) (pow p 7))) (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/8 (/ (pow x 3) (pow p 3))))))
(+ 1/2 (* -1/16 (/ (pow x 3) (pow p 3))))
(+ 1/2 (* -1 (/ (+ (* -1/2048 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 1/16 (pow x 3))) (pow p 3))))
(+ 1/2 (* -1 (/ (+ (* -2 (/ (* (pow x 3) (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))))) (pow p 4))) (+ (* -1/2048 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 1/16 (pow x 3)))) (pow p 3))))
(+ 1 (* 1/2 (/ x p)))
(+ 1 (* -1 (/ (+ (* -1/2 x) (* -1/4 (/ (pow x 2) p))) p)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow x 3) p)) (* 1/4 (pow x 2))) p)) (* -1/2 x)) p)))
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (* x (sqrt 1/2))) (* 1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2))))) p))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt 1/2) (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2)))))) (* 1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2)))))) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))))))) p))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ 1/2 (* -1/4 (/ x p)))
(+ 1/2 (* -1 (/ (+ (* 1/4 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) p))) p)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))) (* 1/2 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))))) p))) p)) (* 1/4 x)) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))
(* -1/2 (/ x p))
(* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p))
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p))
(* -2 p)
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
(* -1 (* (pow p 3) (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) (pow p 2))) (* 3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))))))
(* -1 (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) x)))))
(- (* -1/2 (/ x p)) 1)
(- (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)) 1)
(- (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)) 1)
(+ 1 (* -1/8 (/ (pow x 3) (pow p 3))))
(+ 1 (* -1 (/ (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 1/8 (pow x 3))) (pow p 3))))
(+ 1 (* -1 (/ (+ (* -4 (/ (* (pow x 3) (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))))) (pow p 4))) (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 1/8 (pow x 3)))) (pow p 3))))
(+ 1/2 (* (pow x 3) (+ (* -1/2048 (/ (* (pow x 2) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (pow p 9))) (* 1/16 (/ 1 (pow p 3))))))
(+ 1/2 (* (pow x 3) (+ (* (pow x 2) (+ (* -2 (* (pow p 3) (* (pow x 2) (+ (* -1/262144 (/ (pow (+ (* 16 (pow p 4)) (* 32 (pow p 4))) 2) (pow p 18))) (+ (* 1/1048576 (/ (pow (+ (* 16 (pow p 4)) (* 32 (pow p 4))) 2) (pow p 18))) (* 1/4096 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow p 12)))))))) (* -1/2048 (/ (+ (* 16 (pow p 4)) (* 32 (pow p 4))) (pow p 9))))) (* 1/16 (/ 1 (pow p 3))))))
(+ 1 (* x (- (* 1/4 (/ x (pow p 2))) (* 1/2 (/ 1 p)))))
(+ 1 (* x (- (* x (+ (* 1/16 (/ x (pow p 3))) (* 1/4 (/ 1 (pow p 2))))) (* 1/2 (/ 1 p)))))
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/2 (* (pow x 2) (+ (* -1/1024 (/ (+ (* 16 (pow p 4)) (* 32 (pow p 4))) (pow p 9))) (* 15/256 (/ 1 (pow p 5)))))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
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-2
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(* 1/2 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow x 2)))
(/ (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 2)))) (pow x 2))
(/ (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (+ (* 1/2 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (pow x 4))) (* 1/2 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 2))))) (pow x 2))
(/ (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (+ (* 1/2 (/ (+ (* -64 (* (pow p 6) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/4 (pow (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) 2)) (* 1/2 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (pow x 4))) (* 1/2 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 2)))))) (pow x 2))

Calls

6 calls:

Time	Variable		Point	Expression
46.0ms	x	@	inf	((* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1) (sqrt (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1))) (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/ (/ (* p p) x) x) (/ (* p p) x) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (neg x)) (/ 1/4 (* (* x x) p)) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) (* p (sqrt 2)))
18.0ms	x	@	-inf	((* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1) (sqrt (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1))) (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/ (/ (* p p) x) x) (/ (* p p) x) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (neg x)) (/ 1/4 (* (* x x) p)) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) (* p (sqrt 2)))
16.0ms	p	@	inf	((* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1) (sqrt (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1))) (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/ (/ (* p p) x) x) (/ (* p p) x) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (neg x)) (/ 1/4 (* (* x x) p)) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) (* p (sqrt 2)))
14.0ms	p	@	0	((* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1) (sqrt (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1))) (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/ (/ (* p p) x) x) (/ (* p p) x) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (neg x)) (/ 1/4 (* (* x x) p)) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) (* p (sqrt 2)))
13.0ms	x	@	0	((* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1) (sqrt (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1))) (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/ (/ (* p p) x) x) (/ (* p p) x) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (* (/ 1/4 (* (* x x) p)) (/ (* (* -12 (pow p 4)) (sqrt 1/2)) (sqrt 2))) (* (* p (sqrt 2)) (sqrt 1/2))) (neg x)) (/ 1/4 (* (* x x) p)) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) (* p (sqrt 2)))

simplify222.0ms (2.4%)

Memory

28.2MiB live, 302.8MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1259	10768
1	4557	10654
0	8051	10001

Stop Event

1×	iter limit
1×	node limit

Counts

213 → 212

Calls

Call 1

Inputs
1
(+ 1 (* -3 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* -1/4 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10))))))) (* 3 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -1/4 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12))))))))) (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))))) (* 3 (/ 1 (pow x 2))))))
(+ 1 (* -2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 10 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -44 (/ (pow p 2) (pow x 6))) (* 10 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (+ (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 108 (/ 1 (pow x 6)))) (+ (* -2 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))) (pow x 2))) (* -1 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (* (pow x 2) (pow (sqrt 2) 2)))))))) (sqrt 2))))))))
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 1/2 (* (pow p 2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* 1/2 (* (pow p 2) (- (+ (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 108 (/ 1 (pow x 6)))) (* -2 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))) (pow x 2)))))) (* 1/2 (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4))))))) (/ 1 (pow x 2)))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) x)
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
x
(+ x (* 2 (/ (pow p 2) x)))
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(* p (* (sqrt 1/2) (sqrt 2)))
(* p (+ (* -3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* p (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (* 3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))))
(/ 1/4 (* p (pow x 2)))
(* -2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 70 (/ (pow p 2) (pow x 8))) (* 20 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
2
(+ 2 (* -6 (/ (pow p 2) (pow x 2))))
(+ 2 (* (pow p 2) (- (* -1/2 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10))))))) (* 6 (/ 1 (pow x 2))))))
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -1/2 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12))))))))) (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))))) (* 6 (/ 1 (pow x 2))))))
(* p (sqrt 2))
1/2
(+ 1/2 (* 1/16 (/ (pow x 3) (pow p 3))))
(+ 1/2 (+ (* -1/2048 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/16 (/ (pow x 3) (pow p 3)))))
(+ 1/2 (+ (* -2 (/ (* (pow x 3) (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))))) (pow p 7))) (+ (* -1/2048 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/16 (/ (pow x 3) (pow p 3))))))
(+ 1 (* -1/2 (/ x p)))
(+ 1 (+ (* -1/2 (/ x p)) (* 1/4 (/ (pow x 2) (pow p 2)))))
(+ 1 (+ (* -1/2 (/ x p)) (+ (* 1/16 (/ (pow x 3) (pow p 3))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2))))) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2)))))) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))))))) (pow p 3))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (pow x 2)) (+ (* 1/16 (pow x 2)) (* 1/4 (pow x 2))))) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))))
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (pow p 2))) (* 1/4 (/ x p))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (pow p 2))) (+ (* -1/2 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))))) (pow p 3))) (* 1/4 (/ x p)))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3))))))
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))
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(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))
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(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
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(* -1 (/ p x))
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x))
(- (* 2 (/ (pow p 2) (pow x 2))) 1)
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)
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(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
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(* -1 (/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
-2
(- (* 2 (/ (pow p 2) (pow x 2))) 2)
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 2)
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(* 1/2 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow x 2)))
(/ (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 2)))) (pow x 2))
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Outputs
1
#s(literal 1 binary64)
(+ 1 (* -3 (/ (pow p 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))
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(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 p p)) (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 12 binary64)) (pow.f64 x #s(literal 14 binary64))) #s(literal -12 binary64) (/.f64 #s(literal 84 binary64) (pow.f64 x #s(literal 10 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64))
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(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 2)
(fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 p p) x))) #s(literal 2 binary64)))
(* 1/2 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow x 2)))
(.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 (*.f64 p p) #s(literal 12 binary64)) x))
(/ (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 2)))) (pow x 2))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 p p) #s(literal 12 binary64) (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)))) (.f64 x x)))) (*.f64 x x))
(/ (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (+ (* 1/2 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (pow x 4))) (* 1/2 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64) (neg.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64)) (fma.f64 (neg.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64))) (.f64 (.f64 p p) #s(literal 12 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)))) (.f64 x x))))) (.f64 x x))
(/ (+ (* 1/2 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (+ (* 1/2 (/ (+ (* -64 (* (pow p 6) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/4 (pow (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) 2)) (* 1/2 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (pow x 4))) (* 1/2 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 2)))))) (pow x 2))
(/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) (pow.f64 p #s(literal 6 binary64))) #s(literal -64 binary64) (fma.f64 (neg.f64 (.f64 (.f64 p p) #s(literal 12 binary64))) (fma.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64) (neg.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64)) (fma.f64 (neg.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64))) (.f64 (.f64 p p) #s(literal 12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64)))) (fma.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64) (neg.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) (fma.f64 (.f64 (fma.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64) (neg.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64)) (fma.f64 (neg.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64))) (.f64 (.f64 p p) #s(literal 12 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64))) #s(literal 1/2 binary64) (.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64) (neg.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64)) (fma.f64 (neg.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64))) (.f64 (.f64 p p) #s(literal 12 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)))) (.f64 x x)))))) (*.f64 x x))

rewrite94.0ms (1%)

Memory

-25.5MiB live, 127.1MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	420
0	90	470
1	322	320
0	2191	319

Stop Event

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

Counts

21 → 313

Calls

Call 1

Inputs
(.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x))
(/.f64 (/.f64 (*.f64 p p) x) x)
(/.f64 (*.f64 p p) x)
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
(/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p))
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64))
(+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 p (sqrt.f64 #s(literal 2 binary64)))

Outputs
(.f64 (.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal -1 binary64))))
(.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 9 binary64)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 6 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 9 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 6 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 (.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 3 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))))
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(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64)))))
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64))
(.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 9 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 9 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 6 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 9 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 6 binary64))))
(fma.f64 (.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3/2 binary64)) (.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 6 binary64)) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3/2 binary64))) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 3/2 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64))) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 2 binary64))))
(-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal -1 binary64))
(+.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 6 binary64)))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)))
(+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) p)
(*.f64 p (sqrt.f64 #s(literal 2 binary64)))

eval128.0ms (1.4%)

Memory: -2.0MiB live, 229.7MiB allocated; 38ms collecting garbage
Compiler: Compiled 40 550 to 3 358 computations (91.7% saved)

prune34.0ms (0.4%)

Memory

-2.8MiB live, 56.6MiB allocated; 3ms collecting garbage

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	639	14	653
Fresh	7	4	11
Picked	4	1	5
Done	0	0	0
Total	650	19	669

Accuracy

99.9%

Counts

669 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.4%	(.f64 (sqrt.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
	82.8%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	7.7%	(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	79.5%	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))
▶	82.8%	(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
	54.5%	(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
	54.5%	(sqrt.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))
▶	79.1%	(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
	79.1%	(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64)))) #s(literal 1 binary64))))
	79.1%	(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))) #s(literal 1 binary64))))
▶	55.6%	(sqrt.f64 (/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
	54.5%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))))) (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))))))))
	50.4%	(sqrt.f64 #s(approx (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
	10.2%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p))) (*.f64 x x))))
	10.2%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (.f64 x x))))
▶	39.7%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
✓	54.9%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
	30.5%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
	23.6%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))

Compiler

Compiled 1 531 to 806 computations (47.4% saved)

simplify176.0ms (1.9%)

Memory

12.2MiB live, 150.5MiB allocated; 10ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	1	(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
cost-diff	1	(.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff	3	(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
cost-diff	3	(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
cost-diff	0	(/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 (/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
cost-diff	1	(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
cost-diff	3	(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
cost-diff	0	#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
cost-diff	1	(-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
cost-diff	1	(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
cost-diff	1	(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
cost-diff	3	(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
cost-diff	3	(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	929
0	103	921
1	196	921
2	430	921
3	1365	915
4	6212	915
0	8133	690

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
x
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(*.f64 p p)
p
#s(literal 4 binary64)
(*.f64 x x)
#s(literal 3 binary64)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(.f64 (.f64 p #s(literal 4 binary64)) p)
(*.f64 p #s(literal 4 binary64))
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64)))
(-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 (*.f64 p p) x)
(*.f64 p p)
p
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
x
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(.f64 (.f64 p #s(literal 4 binary64)) p)
(*.f64 p #s(literal 4 binary64))
p
#s(literal 4 binary64)
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
x
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(.f64 (.f64 p #s(literal 4 binary64)) p)
(*.f64 p #s(literal 4 binary64))
p
#s(literal 4 binary64)
#s(literal 3 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(*.f64 p p)
(*.f64 x x)
#s(literal 2 binary64)
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64))
#s(literal -1 binary64)

Outputs
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal 1 binary64)) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal 1 binary64)) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))
(pow.f64 (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal 3 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
(/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))
x
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(hypot.f64 (*.f64 #s(literal 2 binary64) p) x)
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(pow.f64 (hypot.f64 (*.f64 #s(literal 2 binary64) p) x) #s(literal 2 binary64))
(*.f64 p p)
p
#s(literal 4 binary64)
(*.f64 x x)
#s(literal 3 binary64)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal 1 binary64)) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
(/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(hypot.f64 (*.f64 #s(literal 2 binary64) p) x)
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(pow.f64 (hypot.f64 (*.f64 #s(literal 2 binary64) p) x) #s(literal 2 binary64))
(.f64 (.f64 p #s(literal 4 binary64)) p)
(.f64 (.f64 #s(literal 4 binary64) p) p)
(*.f64 p #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) p)
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64))
(-.f64 (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (fma.f64 (/.f64 (*.f64 p p) x) (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (fma.f64 (/.f64 (*.f64 p p) x) (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (fma.f64 (/.f64 (*.f64 p p) x) (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 p p) x) (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x))
(.f64 (/.f64 (/.f64 p x) x) (.f64 #s(literal 2 binary64) p))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 (*.f64 p p) x)
(*.f64 p p)
p
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal 1 binary64)) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal 1 binary64))))
(/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal 1 binary64)) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal 1 binary64)))
#s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal 1 binary64)) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
(/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))
x
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(hypot.f64 (*.f64 #s(literal 2 binary64) p) x)
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(pow.f64 (hypot.f64 (*.f64 #s(literal 2 binary64) p) x) #s(literal 2 binary64))
(.f64 (.f64 p #s(literal 4 binary64)) p)
(.f64 (.f64 #s(literal 4 binary64) p) p)
(*.f64 p #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) p)
p
#s(literal 4 binary64)
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64))
(-.f64 (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal -1 binary64))) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal -1 binary64))) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64))
(pow.f64 (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal 3 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
(/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))
x
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(hypot.f64 (*.f64 #s(literal 2 binary64) p) x)
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(pow.f64 (hypot.f64 (*.f64 #s(literal 2 binary64) p) x) #s(literal 2 binary64))
(.f64 (.f64 p #s(literal 4 binary64)) p)
(.f64 (.f64 #s(literal 4 binary64) p) p)
(*.f64 p #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) p)
p
#s(literal 4 binary64)
#s(literal 3 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal -1 binary64))) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal 2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
(/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(hypot.f64 (*.f64 #s(literal 2 binary64) p) x)
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(pow.f64 (hypot.f64 (*.f64 #s(literal 2 binary64) p) x) #s(literal 2 binary64))
(*.f64 p p)
(*.f64 x x)
#s(literal 2 binary64)
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64))
(-.f64 (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)) #s(literal -1 binary64))
#s(literal -1 binary64)

localize380.0ms (4.1%)

Memory

-25.3MiB live, 466.5MiB allocated; 84ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	8.720568235854444	(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64)))
accuracy	13.101508077788825	(-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy	14.191705021489442	(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
accuracy	14.191705021489442	(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
accuracy	6.7301089278517585	(sqrt.f64 (/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy	8.926076481405357	(-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64))
accuracy	14.191705021489442	(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
accuracy	28.80462237815809	#s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64))
accuracy	2.9145545386124163	(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x))
accuracy	4.191896263751658	(fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	6.7301089278517585	(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	49.27414523253346	#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64)))
accuracy	6.7301089278517585	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
accuracy	39.134050683395536	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64))
accuracy	6.7301089278517585	(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy	8.926076481405357	(-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64))
accuracy	14.191705021489442	(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
accuracy	14.191705021489442	(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))

Samples

160.0ms	81×	2	valid
86.0ms	129×	0	valid
30.0ms	32×	1	valid
27.0ms	14×	3	valid

Compiler

Compiled 957 to 57 computations (94% saved)

Precisions

Click to see histograms. Total time spent on operations: 251.0ms

ival-div: 65.0ms (25.9% of total)

ival-sqrt: 55.0ms (22% of total)

adjust: 38.0ms (15.2% of total)

ival-mult: 32.0ms (12.8% of total)

ival-pow: 22.0ms (8.8% of total)

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

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

ival-pow2: 5.0ms (2% of total)

exact: 1.0ms (0.4% of total)

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

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

series47.0ms (0.5%)

Memory

2.0MiB live, 94.8MiB allocated; 7ms collecting garbage

Counts

19 → 204

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64))
(-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64))
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x))
#s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64))
(-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64)))

Outputs
x
(+ x (* 2 (/ (pow p 2) x)))
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(pow x 2)
(+ (* 4 (pow p 2)) (pow x 2))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))
1
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
-1
(- (* 2 (/ (pow p 2) (pow x 2))) 1)
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* -2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (+ (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 108 (/ 1 (pow x 6)))) (+ (* -2 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))) (pow x 2))) (* -1 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (* (pow x 2) (pow (sqrt 2) 2)))))))) (sqrt 2))))))))
(+ 1 (* (pow p 2) (- (* 1/2 (* (pow p 2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* 1/2 (* (pow p 2) (- (+ (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 108 (/ 1 (pow x 6)))) (* -2 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))) (pow x 2)))))) (* 1/2 (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4))))))) (/ 1 (pow x 2)))))
(+ 1 (* -3 (/ (pow p 2) (pow x 2))))
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1/2
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(* -1 (* (/ (sqrt 1/12) x) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))
(* -1 (/ (+ (* 1/2 (* (/ (- (* 1/12 (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))))) (* -1/36 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))) (* (pow x 2) (sqrt 1/12))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (sqrt 1/12) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))) x))
(* -1 (/ (+ (* 1/2 (* (/ (- (* 1/12 (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6)))))) (+ (* -1/3 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (- (* 1/12 (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))))) (* -1/36 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) (+ (* -1/36 (* (+ (* -16 (pow p 4)) (+ (* -4 (pow p 4)) (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 1/4 (/ (pow (- (* 1/12 (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))))) (* -1/36 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))) 2) (* (pow (sqrt 1/12) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))))) (* (pow x 4) (sqrt 1/12))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (+ (* 1/2 (* (/ (- (* 1/12 (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))))) (* -1/36 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))) (* (pow x 2) (sqrt 1/12))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (sqrt 1/12) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) x))
(* -1 (/ (+ (* 1/2 (* (/ (- (* 1/12 (+ (* -64 (* (pow p 6) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/4 (pow (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) 2)) (* 1/2 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))))) (+ (* -1/3 (* (+ (* -16 (pow p 4)) (+ (* -4 (pow p 4)) (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4))))) (- (* 1/12 (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))))) (* -1/36 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) (+ (* -1/3 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (- (* 1/12 (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6)))))) (+ (* -1/3 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (- (* 1/12 (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))))) (* -1/36 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) (* -1/36 (* (+ (* -16 (pow p 4)) (+ (* -4 (pow p 4)) (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))))) (+ (* -1/36 (* (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 1/2 (/ (* (- (* 1/12 (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6)))))) (+ (* -1/3 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (- (* 1/12 (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))))) (* -1/36 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) (+ (* -1/36 (* (+ (* -16 (pow p 4)) (+ (* -4 (pow p 4)) (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 1/4 (/ (pow (- (* 1/12 (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))))) (* -1/36 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))) 2) (* (pow (sqrt 1/12) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))))) (- (* 1/12 (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))))) (* -1/36 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (pow (sqrt 1/12) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))))) (* (pow x 6) (sqrt 1/12))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (+ (* 1/2 (* (/ (- (* 1/12 (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6)))))) (+ (* -1/3 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (- (* 1/12 (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))))) (* -1/36 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) (+ (* -1/36 (* (+ (* -16 (pow p 4)) (+ (* -4 (pow p 4)) (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 1/4 (/ (pow (- (* 1/12 (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))))) (* -1/36 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))) 2) (* (pow (sqrt 1/12) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))))) (* (pow x 4) (sqrt 1/12))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (+ (* 1/2 (* (/ (- (* 1/12 (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))))) (* -1/36 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))) (* (pow x 2) (sqrt 1/12))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (sqrt 1/12) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) x))
(- (* 8 (/ (pow p 2) (pow x 2))) (+ 2 (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2))))))
(- (+ (* -32 (/ (pow p 4) (pow x 4))) (* 8 (/ (pow p 2) (pow x 2)))) (+ 2 (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (+ (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (* (pow p 2) (pow x 4)))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 8 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 4))))))))
(- (+ (* -32 (/ (pow p 4) (pow x 4))) (+ (* 8 (/ (pow p 2) (pow x 2))) (* 128 (/ (pow p 6) (pow x 6))))) (+ 2 (+ (* -1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (* (pow p 2) (pow x 6)))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (+ (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (* (pow p 2) (pow x 4)))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -32 (pow p 4)) (+ (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 8 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2)))))) (* (pow p 2) (pow x 6)))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 8 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 4)))) (* 1/4 (/ (* (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (- (* 8 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 6)))))))))))

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	x	@	-inf	((sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* (* p p) 4) (* x x)) (+ (* x x) (* (* p 4) p)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (- (* (/ 2 x) (/ (* p p) x)) 1) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1))) (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (sqrt (/ (+ (* (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1/2) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1))) (* (/ 2 x) (/ (* p p) x)) (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) 1) (/ (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) 1) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) -1)))
7.0ms	x	@	inf	((sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* (* p p) 4) (* x x)) (+ (* x x) (* (* p 4) p)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (- (* (/ 2 x) (/ (* p p) x)) 1) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1))) (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (sqrt (/ (+ (* (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1/2) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1))) (* (/ 2 x) (/ (* p p) x)) (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) 1) (/ (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) 1) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) -1)))
5.0ms	p	@	-inf	((sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* (* p p) 4) (* x x)) (+ (* x x) (* (* p 4) p)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (- (* (/ 2 x) (/ (* p p) x)) 1) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1))) (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (sqrt (/ (+ (* (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1/2) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1))) (* (/ 2 x) (/ (* p p) x)) (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) 1) (/ (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) 1) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) -1)))
5.0ms	p	@	0	((sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* (* p p) 4) (* x x)) (+ (* x x) (* (* p 4) p)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (- (* (/ 2 x) (/ (* p p) x)) 1) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1))) (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (sqrt (/ (+ (* (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1/2) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1))) (* (/ 2 x) (/ (* p p) x)) (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) 1) (/ (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) 1) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) -1)))
4.0ms	p	@	inf	((sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* (* p p) 4) (* x x)) (+ (* x x) (* (* p 4) p)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (- (* (/ 2 x) (/ (* p p) x)) 1) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1))) (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (sqrt (/ (+ (* (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1/2) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1))) (* (/ 2 x) (/ (* p p) x)) (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) 1) (/ (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) 1) (- (/ x (sqrt (+ (* (* p p) 4) (* x x)))) -1)))

simplify286.0ms (3.1%)

Memory

0.7MiB live, 319.6MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1410	12520
1	5046	12354
0	8371	11657

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 203

Calls

Call 1

Inputs
x
(+ x (* 2 (/ (pow p 2) x)))
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(pow x 2)
(+ (* 4 (pow p 2)) (pow x 2))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))
1
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
-1
(- (* 2 (/ (pow p 2) (pow x 2))) 1)
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* -2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
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(* 4 (pow p 2))
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1/2
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(* -1 (* (/ (sqrt 1/12) x) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))
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(* -1 (/ (+ (* 1/2 (* (/ (- (* 1/12 (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6)))))) (+ (* -1/3 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (- (* 1/12 (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))))) (* -1/36 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) (+ (* -1/36 (* (+ (* -16 (pow p 4)) (+ (* -4 (pow p 4)) (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 1/4 (/ (pow (- (* 1/12 (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))))) (* -1/36 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))) 2) (* (pow (sqrt 1/12) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))))) (* (pow x 4) (sqrt 1/12))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (+ (* 1/2 (* (/ (- (* 1/12 (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))))) (* -1/36 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))) (* (pow x 2) (sqrt 1/12))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (sqrt 1/12) (sqrt (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) x))
(* -1 (/ (+ (* 1/2 (* (/ (- (* 1/12 (+ (* -64 (* (pow p 6) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/4 (pow (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) 2)) (* 1/2 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 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(pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6)))))) (+ (* -1/3 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (- (* 1/12 (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))))) (* -1/36 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))) (+ (* -1/36 (* (+ (* -16 (pow p 4)) (+ (* -4 (pow p 4)) (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 4 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 1/4 (/ (pow (- (* 1/12 (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))))) (* -1/36 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))) 2) (* (pow (sqrt 1/12) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))))) (- (* 1/12 (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))))) (* -1/36 (* (+ (* 2 (pow p 2)) (* 4 (pow p 2))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (* (pow (sqrt 1/12) 2) (+ (* 4 (pow p 2)) (* 8 (pow p 2)))))))))) (* (pow x 6) (sqrt 1/12))) (sqrt (/ 1 (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))) (+ (* 1/2 (* (/ (- (* 1/12 (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6)))))) (+ (* 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(- (* 8 (/ (pow p 2) (pow x 2))) (+ 2 (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2))))))
(- (+ (* -32 (/ (pow p 4) (pow x 4))) (* 8 (/ (pow p 2) (pow x 2)))) (+ 2 (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (+ (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (* (pow p 2) (pow x 4)))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 8 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 4))))))))
(- (+ (* -32 (/ (pow p 4) (pow x 4))) (+ (* 8 (/ (pow p 2) (pow x 2))) (* 128 (/ (pow p 6) (pow x 6))))) (+ 2 (+ (* -1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (* (pow p 2) (pow x 6)))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (+ (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (* (pow p 2) (pow x 4)))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -32 (pow p 4)) (+ (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 8 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2)))))) (* (pow p 2) (pow x 6)))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 8 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 4)))) (* 1/4 (/ (* (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (- (* 8 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 6)))))))))))

Outputs
x
(+ x (* 2 (/ (pow p 2) x)))
(fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x)
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
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(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
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(pow x 2)
(*.f64 x x)
(+ (* 4 (pow p 2)) (pow x 2))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
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1
#s(literal 1 binary64)
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(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))
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-1
#s(literal -1 binary64)
(- (* 2 (/ (pow p 2) (pow x 2))) 1)
(-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))
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(- (+ (* -32 (/ (pow p 4) (pow x 4))) (+ (* 8 (/ (pow p 2) (pow x 2))) (* 128 (/ (pow p 6) (pow x 6))))) (+ 2 (+ (* -1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (* (pow p 2) (pow x 6)))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (+ (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (* (pow p 2) (pow x 4)))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -32 (pow p 4)) (+ (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 8 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2)))))) (* (pow p 2) (pow x 6)))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 8 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 4)))) (* 1/4 (/ (* (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (- (* 8 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 6)))))))))))
(-.f64 (-.f64 (fma.f64 #s(literal -32 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 8 binary64) x) (/.f64 (.f64 p p) x) (/.f64 (.f64 #s(literal 128 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (.f64 p p)) #s(literal 2 binary64) (.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (.f64 p p)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) p) (/.f64 #s(literal -12 binary64) p)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (.f64 p p)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (/.f64 (-.f64 (.f64 #s(literal -32 binary64) (pow.f64 p #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 #s(literal 8 binary64) (.f64 p p) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) p) (/.f64 #s(literal -12 binary64) p)))) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 (fma.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) #s(literal -1/2 binary64))) (.f64 p p))) p) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p)) (.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 p p) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) p) (/.f64 #s(literal -12 binary64) p)))) (.f64 p p)) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 p p) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) p) (/.f64 #s(literal -12 binary64) p)))) (.f64 p p)) (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 x #s(literal 6 binary64)))))))))))

rewrite141.0ms (1.5%)

Memory

11.3MiB live, 162.9MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	397
0	95	375
1	377	347
0	2445	340

Stop Event

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

Counts

19 → 371

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64))
(-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64))
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x))
#s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64))
(-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64)))

Outputs
(.f64 (pow.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) p) p)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 p p)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 (neg.f64 x) x))))
(/.f64 (hypot.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 p p))) (pow.f64 (.f64 (*.f64 #s(literal 4 binary64) p) p) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))
(exp.f64 (.f64 (log.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) p) p))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) p) p)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 p p)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 (neg.f64 x) x))))
(/.f64 (hypot.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 p p))) (pow.f64 (.f64 (*.f64 #s(literal 4 binary64) p) p) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))
(exp.f64 (.f64 (log.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) p) p))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) p) p) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 (.f64 #s(literal -4 binary64) p) p)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 p p)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 p p) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 p p) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 p p))) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 2 binary64))) (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 p p))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 p p) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 p p) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 p p))) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 4 binary64) (fabs.f64 p)) (fabs.f64 p) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 #s(literal 4 binary64) (fabs.f64 p)) (fabs.f64 p) (.f64 x x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (neg.f64 (.f64 #s(literal -4 binary64) p)) p))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (.f64 #s(literal 4 binary64) p) p))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (.f64 #s(literal -4 binary64) p)) p))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 #s(literal 4 binary64) p) p))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (neg.f64 (.f64 #s(literal -4 binary64) p)) p))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (.f64 #s(literal 4 binary64) p) p))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 #s(literal -4 binary64) p)) p))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (.f64 (.f64 #s(literal 4 binary64) p) p))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) x (.f64 (neg.f64 (.f64 #s(literal -4 binary64) p)) p))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) x (.f64 (.f64 #s(literal 4 binary64) p) p))
(fma.f64 (.f64 #s(literal -4 binary64) p) (neg.f64 p) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 #s(literal -4 binary64) p) (neg.f64 p) (.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (neg.f64 (.f64 #s(literal -4 binary64) p)) p))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 #s(literal 4 binary64) p) p))
(fma.f64 (neg.f64 p) (.f64 #s(literal -4 binary64) p) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 p) (.f64 #s(literal -4 binary64) p) (.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (neg.f64 (.f64 #s(literal -4 binary64) p)) p))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 #s(literal 4 binary64) p) p))
(fma.f64 (fabs.f64 p) (.f64 (fabs.f64 p) #s(literal 4 binary64)) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (fabs.f64 p) (.f64 (fabs.f64 p) #s(literal 4 binary64)) (.f64 x x))
(fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))
(fma.f64 x x (.f64 (neg.f64 (.f64 #s(literal -4 binary64) p)) p))
(fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p))
(fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(fma.f64 p (.f64 #s(literal 4 binary64) p) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 p (.f64 #s(literal 4 binary64) p) (.f64 x x))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 p p)))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 2 binary64)) (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 p p)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 (neg.f64 x) x))))
(-.f64 (.f64 x x) (.f64 #s(literal -4 binary64) (*.f64 p p)))
(-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 p) p) #s(literal 4 binary64)))
(-.f64 (.f64 x x) (.f64 (neg.f64 p) (*.f64 #s(literal 4 binary64) p)))
(-.f64 (.f64 x x) (.f64 (*.f64 #s(literal -4 binary64) p) p))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p))) #s(literal 2 binary64))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) p) p))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) (.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) p) p))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) p) p))))) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) p) p))))) #s(literal -1 binary64))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))
(expm1.f64 (.f64 (log.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) p) p))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 3 binary64)) (+.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) (pow.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))))
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))

eval155.0ms (1.7%)

Memory: 2.5MiB live, 237.0MiB allocated; 60ms collecting garbage
Compiler: Compiled 51 124 to 4 359 computations (91.5% saved)

prune35.0ms (0.4%)

Memory

-10.9MiB live, 88.3MiB allocated; 5ms collecting garbage

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	702	9	711
Fresh	2	11	13
Picked	3	2	5
Done	0	1	1
Total	707	23	730

Accuracy

99.9%

Counts

730 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.4%	(.f64 (sqrt.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
▶	82.8%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	7.7%	(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	7.7%	(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	79.5%	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))
	79.1%	(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) (pow.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)) #s(literal -1 binary64)))))) #s(literal 1 binary64))))
▶	79.1%	(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
✓	82.8%	(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
	79.1%	(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) p) p)))) #s(literal 1 binary64))) #s(literal 1 binary64))))
▶	54.5%	(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
	54.5%	(sqrt.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))
	79.1%	(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
	35.1%	(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (/.f64 (hypot.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
	79.1%	(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64)))) #s(literal 1 binary64))))
	54.6%	(sqrt.f64 (/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(approx (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (-.f64 (*.f64 (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))))
	54.5%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))))) (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))))))))
	50.4%	(sqrt.f64 #s(approx (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
	10.1%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p))) (*.f64 x x))))
	10.2%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (.f64 x x))))
✓	39.7%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
✓	54.9%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
	30.5%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
▶	23.6%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))

Compiler

Compiled 2 286 to 1 068 computations (53.3% saved)

simplify118.0ms (1.3%)

Memory

27.6MiB live, 215.4MiB allocated; 18ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
cost-diff	0	(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
cost-diff	1	(-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))
cost-diff	1	(-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))))
cost-diff	12	(.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x))))
cost-diff	0	(fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
cost-diff	3	(/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x))
cost-diff	0	(/.f64 p x)
cost-diff	0	(neg.f64 (/.f64 p x))
cost-diff	0	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
cost-diff	0	(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
cost-diff	0	(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	866
0	110	817
1	224	817
2	578	807
3	2493	807
0	8650	792

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
x
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(*.f64 p p)
p
#s(literal 4 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))
(neg.f64 (/.f64 p x))
(/.f64 p x)
p
x
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x))))
#s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x))
(fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x)))
(*.f64 p p)
p
#s(literal 2 binary64)
(neg.f64 (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))))
#s(literal 1/4 binary64)
(.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
x
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(.f64 (.f64 p #s(literal 4 binary64)) p)
(*.f64 p #s(literal 4 binary64))
p
#s(literal 4 binary64)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
x
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(*.f64 p p)
p
#s(literal 4 binary64)
(*.f64 x x)
#s(literal 3 binary64)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(.f64 (.f64 p #s(literal 4 binary64)) p)
(*.f64 p #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p))))
(sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))
(fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p))
(.f64 (.f64 #s(literal 4 binary64) p) p)
(*.f64 #s(literal 4 binary64) p)
#s(literal 2 binary64)
#s(literal 1 binary64)
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))
#s(literal -1 binary64)

Outputs
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) x #s(literal 1/2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))
x
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))
(*.f64 p p)
p
#s(literal 4 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x))
(neg.f64 (/.f64 p x))
(/.f64 (neg.f64 p) x)
(/.f64 p x)
p
x
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (fma.f64 (*.f64 (/.f64 p x) p) (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (fma.f64 (*.f64 (/.f64 p x) p) (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (fma.f64 (*.f64 (/.f64 p x) p) (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))
#s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))
#s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (fma.f64 (*.f64 (/.f64 p x) p) (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x))
(fma.f64 (*.f64 (/.f64 p x) p) (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x)))
(neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) p) p (.f64 x x)))
(*.f64 p p)
p
#s(literal 2 binary64)
(neg.f64 (*.f64 x x))
(*.f64 (neg.f64 x) x)
(*.f64 x x)
x
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) x #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) x #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))
(/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))
x
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))
(.f64 (.f64 p #s(literal 4 binary64)) p)
(.f64 (.f64 #s(literal 4 binary64) p) p)
(*.f64 p #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) p)
p
#s(literal 4 binary64)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) x #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal -1 binary64))) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal -1 binary64))) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))
x
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))
(*.f64 p p)
p
#s(literal 4 binary64)
(*.f64 x x)
#s(literal 3 binary64)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal -1 binary64))) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))
(.f64 (.f64 p #s(literal 4 binary64)) p)
(.f64 (.f64 #s(literal 4 binary64) p) p)
(*.f64 p #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) p)
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p))))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))
(sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))
(sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))
(fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p))
(fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))
(.f64 (.f64 #s(literal 4 binary64) p) p)
(*.f64 #s(literal 4 binary64) p)
#s(literal 2 binary64)
#s(literal 1 binary64)
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal -1 binary64))
#s(literal -1 binary64)

localize1.2s (13.2%)

Memory

-153.5MiB live, 717.7MiB allocated; 1.3s collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	13.101508077788825	(-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy	14.191705021489442	(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
accuracy	14.191705021489442	(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
accuracy	14.191705021489442	(sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))
accuracy	8.488377536778886	(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))))
accuracy	8.920626482450666	(-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))
accuracy	13.084904687815637	(-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))))
accuracy	14.191705021489442	(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
accuracy	2.1758541220723884	(/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x))
accuracy	4.191896263751658	(fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	6.7301089278517585	(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	49.27414523253346	#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x))))
accuracy	0.0	(/.f64 p x)
accuracy	0.0	(neg.f64 (/.f64 p x))
accuracy	48.88303052077065	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))
accuracy	0.015625	(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
accuracy	4.191896263751658	(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	6.7301089278517585	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	14.191705021489442	(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))

Samples

954.0ms	36×	3	valid
101.0ms	129×	0	valid
91.0ms	60×	2	valid
30.0ms	31×	1	valid

Compiler

Compiled 834 to 59 computations (92.9% saved)

Precisions

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

adjust: 194.0ms (52.4% of total)

ival-mult: 52.0ms (14% of total)

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

ival-neg: 29.0ms (7.8% of total)

ival-sqrt: 23.0ms (6.2% of total)

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

ival-sub: 10.0ms (2.7% of total)

ival-pow: 8.0ms (2.2% of total)

ival-pow2: 5.0ms (1.4% of total)

exact: 1.0ms (0.3% of total)

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

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

series91.0ms (1%)

Memory

-16.8MiB live, 168.2MiB allocated; 23ms collecting garbage

Counts

24 → 221

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))
(neg.f64 (/.f64 p x))
(/.f64 p x)
(/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x))))
(.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))
(-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64))

Outputs
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(+ 1 (* -2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
x
(+ x (* 2 (/ (pow p 2) x)))
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(* -1 (/ p x))
(/ p x)
-1
(- (* 2 (/ (pow p 2) (pow x 2))) 1)
1/4
(+ 1/4 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1/4 (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(+ 1/4 (* (pow p 2) (- (* (pow p 2) (+ (* -16 (/ (pow p 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(/ (pow p 2) (pow x 2))
(* (pow p 2) (+ (* -4 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))
(* (pow p 2) (+ (* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -64 (/ (pow p 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(* (pow p 2) (+ (* -3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))
(* (pow p 2) (+ (* (pow p 2) (- (* 10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -35 (/ (pow p 2) (pow x 8))) (* 10 (/ 1 (pow x 6))))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(+ 1 (* (pow p 2) (- (* 1/2 (* (pow p 2) (- (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 49/4 (/ 1 (pow x 4)))))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* 1/2 (* (pow p 2) (- (+ (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 54 (/ 1 (pow x 6)))) (+ (* -2 (/ (- (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 12 (/ 1 (pow x 4)))) (pow x 2))) (* -1/2 (/ (- (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 49/4 (/ 1 (pow x 4)))) (pow x 2))))))) (* 1/2 (- (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 49/4 (/ 1 (pow x 4))))))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (- (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 12 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
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(+ 1 (* -3 (/ (pow p 2) (pow x 2))))
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(+ 1 (* -6 (/ (pow p 2) (pow x 2))))
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(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -1/2 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12))))))))) (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))))) (* 6 (/ 1 (pow x 2))))))
(pow x 2)
(+ (* 4 (pow p 2)) (pow x 2))
(* -4 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* -64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 256 (/ (pow p 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))
1/2
(+ 1/2 (* 1/4 (/ x p)))
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(* 1/2 (/ x p))
(/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p)
(* 2 p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* 2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (pow p 2))))
(* 1/16 (/ (pow x 2) (pow p 2)))
(/ (+ (* -1/64 (/ (pow x 4) (pow p 2))) (* 1/16 (pow x 2))) (pow p 2))
(/ (+ (* -1/64 (/ (pow x 4) (pow p 2))) (+ (* 1/256 (/ (pow x 6) (pow p 4))) (* 1/16 (pow x 2)))) (pow p 2))
(/ (+ (* -1/64 (/ (pow x 4) (pow p 2))) (+ (* -1/1024 (/ (pow x 8) (pow p 6))) (+ (* 1/256 (/ (pow x 6) (pow p 4))) (* 1/16 (pow x 2))))) (pow p 2))
(+ 1/4 (* -1/16 (/ (pow x 2) (pow p 2))))
(- (+ 1/4 (* 1/64 (/ (pow x 4) (pow p 4)))) (* 1/16 (/ (pow x 2) (pow p 2))))
(- (+ 1/4 (* -1/256 (/ (pow x 6) (pow p 6)))) (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/16 (/ (pow x 2) (pow p 2)))))
(+ 1/2 (* -1/4 (/ x p)))
(- (+ 1/2 (* 1/32 (/ (pow x 3) (pow p 3)))) (* 1/4 (/ x p)))
(- (+ 1/2 (* 1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5)))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4))) (* 1/32 (pow x 3))) (* (pow p 3) (sqrt 1/2)))) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2)))))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow p 2) (sqrt 1/2)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* 1/32 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (* (pow p 3) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow p 2) (sqrt 1/2)))) (* 1/8 (/ x (* p (sqrt 1/2)))))))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow p 2)))) (* -1/4 (/ x p)))
(- (+ 1/2 (* -1 (/ (+ (* 1/32 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow p 3)))) (+ (* -1/4 (/ x p)) (+ (* -1/8 (/ (pow x 2) (pow p 2))) (* 1/8 (/ (pow x 2) (pow p 2))))))
(+ 1/2 (* 1/16 (/ (pow x 3) (pow p 3))))
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(+ 1/2 (+ (* -2 (/ (* (pow x 3) (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))))) (pow p 7))) (+ (* -1/2048 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/16 (/ (pow x 3) (pow p 3))))))
(* 1/8 (/ (pow x 3) (pow p 3)))
(/ (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 1/8 (pow x 3))) (pow p 3))
(/ (+ (* -4 (/ (* (pow x 3) (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))))) (pow p 4))) (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 1/8 (pow x 3)))) (pow p 3))
(/ (+ (* -4 (/ (* (pow x 3) (+ (* -1/64 (* (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))) (+ (* 16 (pow x 2)) (* 32 (pow x 2))))) (+ (* -1/262144 (* (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (+ (* 16 (pow x 2)) (* 32 (pow x 2))))) (+ (* 1/4096 (pow x 6)) (* 1/128 (* (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4)))))) (+ (* 16 (pow x 2)) (* 32 (pow x 2))))))))) (pow p 6))) (+ (* -4 (/ (* (pow x 3) (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))))) (pow p 4))) (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 1/8 (pow x 3))))) (pow p 3))
(* 4 (pow p 2))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(- (+ 1/2 (* -1/32 (/ (pow x 3) (pow p 3)))) (* -1/4 (/ x p)))
(- (+ 1/2 (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5)))) (+ (* -1/4 (/ x p)) (* 1/32 (/ (pow x 3) (pow p 3)))))
(- (* 1/4 (/ (pow x 2) (pow p 2))) 1)
(- (+ (* -1/16 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))) 1)
(- (+ (* 1/64 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))) (+ 1 (* 1/16 (/ (pow x 4) (pow p 4)))))
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))
(* -1/2 (/ x p))
(* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p))
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p))
(* -2 p)
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
(+ 1/2 (* -1 (/ (- (* 1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))
(+ 1/2 (* -1 (/ (- (* 1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3))) (* 1/2 (/ (+ (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4))) (* 1/32 (pow x 3))) (* p (sqrt 1/2))))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* p (sqrt 1/2))))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* 1/32 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (* p (sqrt 1/2))))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) p)) (* 1/8 (/ (pow x 2) p))) (* -1/4 x)) p)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (pow x 3) p)) (* 1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) p))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) p)) (* -1/4 x)) p)))
(+ 1/2 (* -1/16 (/ (pow x 3) (pow p 3))))
(+ 1/2 (* -1 (/ (+ (* -1/2048 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 1/16 (pow x 3))) (pow p 3))))
(+ 1/2 (* -1 (/ (+ (* -2 (/ (* (pow x 3) (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))))) (pow p 4))) (+ (* -1/2048 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 1/16 (pow x 3)))) (pow p 3))))
(* -1/8 (/ (pow x 3) (pow p 3)))
(* -1 (/ (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 1/8 (pow x 3))) (pow p 3)))
(* -1 (/ (+ (* -4 (/ (* (pow x 3) (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))))) (pow p 4))) (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 1/8 (pow x 3)))) (pow p 3)))
(* -1 (/ (+ (* -4 (/ (* (pow x 3) (+ (* -1/64 (* (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))) (+ (* 16 (pow x 2)) (* 32 (pow x 2))))) (+ (* -1/262144 (* (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (+ (* 16 (pow x 2)) (* 32 (pow x 2))))) (+ (* 1/4096 (pow x 6)) (* 1/128 (* (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4)))))) (+ (* 16 (pow x 2)) (* 32 (pow x 2))))))))) (pow p 6))) (+ (* -4 (/ (* (pow x 3) (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))))) (pow p 4))) (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 1/8 (pow x 3))))) (pow p 3)))
(+ 1/2 (* -1 (/ (- (* -1/32 (/ (pow x 3) (pow p 2))) (* -1/4 x)) p)))
(+ 1/2 (* -1 (/ (- (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/4 x) (* 1/32 (/ (pow x 3) (pow p 2))))) p)))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))
(* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/2048 (/ (pow x 2) (pow p 7))) (* 3/256 (/ 1 (pow p 5))))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(/ (+ (* -1 (pow x 2)) (* 2 (pow p 2))) (pow x 2))
(* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 4))) (* 1/16 (/ 1 (pow p 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/256 (/ (pow x 2) (pow p 6))) (* 1/64 (/ 1 (pow p 4))))) (* 1/16 (/ 1 (pow p 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/1024 (/ (pow x 2) (pow p 8))) (* 1/256 (/ 1 (pow p 6))))) (* 1/64 (/ 1 (pow p 4))))) (* 1/16 (/ 1 (pow p 2)))))
(+ 1/4 (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow p 4))) (* 1/16 (/ 1 (pow p 2))))))
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow p 6))) (* 1/64 (/ 1 (pow p 4))))) (* 1/16 (/ 1 (pow p 2))))))
(+ 1/2 (* x (- (* 1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (- (* (pow x 2) (+ (* -3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/2048 (/ (+ (* 16 (pow p 4)) (* 32 (pow p 4))) (pow p 9))) (* 15/512 (/ 1 (pow p 5))))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* (pow x 3) (+ (* -1/2048 (/ (* (pow x 2) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (pow p 9))) (* 1/16 (/ 1 (pow p 3))))))
(+ 1/2 (* (pow x 3) (+ (* (pow x 2) (+ (* -2 (* (pow p 3) (* (pow x 2) (+ (* -1/262144 (/ (pow (+ (* 16 (pow p 4)) (* 32 (pow p 4))) 2) (pow p 18))) (+ (* 1/1048576 (/ (pow (+ (* 16 (pow p 4)) (* 32 (pow p 4))) 2) (pow p 18))) (* 1/4096 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow p 12)))))))) (* -1/2048 (/ (+ (* 16 (pow p 4)) (* 32 (pow p 4))) (pow p 9))))) (* 1/16 (/ 1 (pow p 3))))))
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2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6)))))) (+ (* -1/3 (* (- (* 1/12 (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))))) (* -1/36 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (- (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))))) (- (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))))) (* -1/36 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (- (+ (* -32 (pow p 4)) (+ (* -16 (pow p 4)) (+ (* -2 (* (pow p 2) (- (* 8 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))))) (* 4 (pow p 4))))) (+ (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 8 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))))))))) (- (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow x 6))) (+ (* -1/3 (/ (* (- (* 1/12 (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))))) (* -1/36 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (- (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))))) (- (+ (* -32 (pow p 4)) (+ (* -16 (pow p 4)) (+ (* -2 (* (pow p 2) (- (* 8 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))))) (* 4 (pow p 4))))) (+ (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 8 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2)))))) (pow x 6))) (+ (* -1/3 (/ (* (- (* 1/12 (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))))) (* -1/36 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (- (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))))) (- (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow x 4))) (+ (* -1/36 (/ (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (- (+ (* -32 (pow p 4)) (+ (* -16 (pow p 4)) (+ (* -2 (* (pow p 2) (- (* 8 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))))) (* 4 (pow p 4))))) (+ (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 8 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2)))))) (pow x 4))) (+ (* -1/36 (/ (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (- (+ (* -2 (* (pow p 2) (- (* -32 (pow p 4)) (+ (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 8 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))))))) (+ (* -1/2 (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 8 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))))) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 64 (pow p 6)) (* 128 (pow p 6)))))) (+ (* -1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow p 2))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -32 (pow p 4)) (+ (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 8 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2)))))) (pow p 2))) (* 1/4 (/ (* (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (- (* 8 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))))))) (pow x 6))) (* -1/36 (/ (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (- (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow x 2))))))))) (pow x 2))
(* 1/4 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow x 2)))
(/ (+ (* 1/4 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (* 1/4 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 2)))) (pow x 2))
(/ (+ (* 1/4 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (+ (* 1/4 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (pow x 4))) (* 1/4 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 2))))) (pow x 2))
(/ (+ (* 1/4 (+ (* 4 (pow p 2)) (* 8 (pow p 2)))) (+ (* 1/4 (/ (+ (* -64 (* (pow p 6) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/4 (pow (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) 2)) (* 1/2 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (pow x 4))) (* 1/4 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 2)))))) (pow x 2))
(- (* 1/2 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow x 2))) 1)
(- (+ (* 1/2 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 4))) (* 1/2 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow x 2)))) 1)
(- (+ (* 1/2 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 4))) (* 1/2 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow x 2))))) 1)
(/ (- (+ (* -4 (/ (pow p 4) (pow x 2))) (pow p 2)) (* -1 (/ (pow p 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* 16 (/ (pow p 6) (pow x 4))) (pow p 2))) (+ (* -1 (/ (* (pow p 2) (- (* -4 (pow p 4)) (* -1 (pow p 4)))) (pow x 4))) (+ (* -1 (/ (pow p 4) (pow x 2))) (* -1/4 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4)))))) (pow x 2))
(/ (- (+ (* -64 (/ (pow p 8) (pow x 6))) (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* 16 (/ (pow p 6) (pow x 4))) (pow p 2)))) (+ (* -1 (/ (* (pow p 2) (- (* -4 (pow p 4)) (* -1 (pow p 4)))) (pow x 4))) (+ (* -1 (/ (* (pow p 2) (- (* 16 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -4 (pow p 4)) (* -1 (pow p 4))))) (* -1/4 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 6))) (+ (* -1 (/ (pow p 4) (pow x 2))) (+ (* -1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -4 (pow p 4)) (* -1 (pow p 4)))) (pow x 6))) (+ (* -1/4 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4))) (* -1/4 (/ (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (pow x 6))))))))) (pow x 2))

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	x	@	-inf	((sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg (/ p x)) (/ p x) (/ (+ (* (* p p) 2) (neg (* x x))) (* x x)) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (- 1/4 (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (- 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (sqrt (/ (- 1/4 (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (- 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)))) (sqrt (/ (+ (* (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1/2) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ (- (pow (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) 2) 1) (- (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) -1))) 1))) (/ (+ (* (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1/2) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ (- (pow (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) 2) 1) (- (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) -1))) 1)) (+ (* (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1/2) 1/2) (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) (+ (* (* p p) 4) (* x x)) (sqrt (+ (* x x) (* (* p 4) p))) (/ (- 1/4 (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (- 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (sqrt (+ (* x x) (* (* 4 p) p))) (- (pow (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) 2) 1))
17.0ms	p	@	inf	((sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg (/ p x)) (/ p x) (/ (+ (* (* p p) 2) (neg (* x x))) (* x x)) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (- 1/4 (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (- 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (sqrt (/ (- 1/4 (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (- 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)))) (sqrt (/ (+ (* (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1/2) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ (- (pow (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) 2) 1) (- (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) -1))) 1))) (/ (+ (* (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1/2) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ (- (pow (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) 2) 1) (- (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) -1))) 1)) (+ (* (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1/2) 1/2) (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) (+ (* (* p p) 4) (* x x)) (sqrt (+ (* x x) (* (* p 4) p))) (/ (- 1/4 (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (- 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (sqrt (+ (* x x) (* (* 4 p) p))) (- (pow (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) 2) 1))
15.0ms	x	@	inf	((sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg (/ p x)) (/ p x) (/ (+ (* (* p p) 2) (neg (* x x))) (* x x)) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (- 1/4 (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (- 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (sqrt (/ (- 1/4 (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (- 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)))) (sqrt (/ (+ (* (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1/2) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ (- (pow (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) 2) 1) (- (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) -1))) 1))) (/ (+ (* (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1/2) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ (- (pow (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) 2) 1) (- (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) -1))) 1)) (+ (* (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1/2) 1/2) (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) (+ (* (* p p) 4) (* x x)) (sqrt (+ (* x x) (* (* p 4) p))) (/ (- 1/4 (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (- 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (sqrt (+ (* x x) (* (* 4 p) p))) (- (pow (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) 2) 1))
5.0ms	p	@	0	((sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg (/ p x)) (/ p x) (/ (+ (* (* p p) 2) (neg (* x x))) (* x x)) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (- 1/4 (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (- 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (sqrt (/ (- 1/4 (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (- 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)))) (sqrt (/ (+ (* (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1/2) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ (- (pow (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) 2) 1) (- (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) -1))) 1))) (/ (+ (* (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1/2) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ (- (pow (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) 2) 1) (- (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) -1))) 1)) (+ (* (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1/2) 1/2) (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) (+ (* (* p p) 4) (* x x)) (sqrt (+ (* x x) (* (* p 4) p))) (/ (- 1/4 (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (- 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (sqrt (+ (* x x) (* (* 4 p) p))) (- (pow (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) 2) 1))
5.0ms	x	@	0	((sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg (/ p x)) (/ p x) (/ (+ (* (* p p) 2) (neg (* x x))) (* x x)) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (- 1/4 (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (- 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (sqrt (/ (- 1/4 (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (- 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)))) (sqrt (/ (+ (* (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1/2) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ (- (pow (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) 2) 1) (- (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) -1))) 1))) (/ (+ (* (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1/2) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ (- (pow (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) 2) 1) (- (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) -1))) 1)) (+ (* (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) 1/2) 1/2) (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) (+ (* (* p p) 4) (* x x)) (sqrt (+ (* x x) (* (* p 4) p))) (/ (- 1/4 (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (- 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (sqrt (+ (* x x) (* (* 4 p) p))) (- (pow (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) 2) 1))

simplify269.0ms (2.9%)

Memory

52.1MiB live, 324.5MiB allocated; 98ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1465	13314
1	5182	13125
0	8335	12375

Stop Event

1×	iter limit
1×	node limit

Counts

221 → 220

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(+ 1 (* -2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
x
(+ x (* 2 (/ (pow p 2) x)))
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(* -1 (/ p x))
(/ p x)
-1
(- (* 2 (/ (pow p 2) (pow x 2))) 1)
1/4
(+ 1/4 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1/4 (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
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(/ (pow p 2) (pow x 2))
(* (pow p 2) (+ (* -4 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))
(* (pow p 2) (+ (* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -64 (/ (pow p 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(* (pow p 2) (+ (* -3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))
(* (pow p 2) (+ (* (pow p 2) (- (* 10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -35 (/ (pow p 2) (pow x 8))) (* 10 (/ 1 (pow x 6))))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(+ 1 (* (pow p 2) (- (* 1/2 (* (pow p 2) (- (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 49/4 (/ 1 (pow x 4)))))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* 1/2 (* (pow p 2) (- (+ (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 54 (/ 1 (pow x 6)))) (+ (* -2 (/ (- (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 12 (/ 1 (pow x 4)))) (pow x 2))) (* -1/2 (/ (- (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 49/4 (/ 1 (pow x 4)))) (pow x 2))))))) (* 1/2 (- (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 49/4 (/ 1 (pow x 4))))))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (- (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 12 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (- (+ (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* (pow p 2) (- (+ (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 54 (/ 1 (pow x 6)))) (* -2 (/ (- (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 12 (/ 1 (pow x 4)))) (pow x 2)))))) (* 12 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(+ 1 (* -3 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* -1/4 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10))))))) (* 3 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -1/4 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12))))))))) (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))))) (* 3 (/ 1 (pow x 2))))))
(+ 1 (* -6 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* -1/2 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10))))))) (* 6 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -1/2 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12))))))))) (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))))) (* 6 (/ 1 (pow x 2))))))
(pow x 2)
(+ (* 4 (pow p 2)) (pow x 2))
(* -4 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* -64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 256 (/ (pow p 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))
1/2
(+ 1/2 (* 1/4 (/ x p)))
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(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))
(* 1/2 (/ x p))
(/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p)
(* 2 p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* 2 (/ (pow p 2) (pow x 2)))
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(* 1/16 (/ (pow x 2) (pow p 2)))
(/ (+ (* -1/64 (/ (pow x 4) (pow p 2))) (* 1/16 (pow x 2))) (pow p 2))
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(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow p 2) (sqrt 1/2)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* 1/32 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (* (pow p 3) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow p 2) (sqrt 1/2)))) (* 1/8 (/ x (* p (sqrt 1/2)))))))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow p 2)))) (* -1/4 (/ x p)))
(- (+ 1/2 (* -1 (/ (+ (* 1/32 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow p 3)))) (+ (* -1/4 (/ x p)) (+ (* -1/8 (/ (pow x 2) (pow p 2))) (* 1/8 (/ (pow x 2) (pow p 2))))))
(+ 1/2 (* 1/16 (/ (pow x 3) (pow p 3))))
(+ 1/2 (+ (* -1/2048 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/16 (/ (pow x 3) (pow p 3)))))
(+ 1/2 (+ (* -2 (/ (* (pow x 3) (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))))) (pow p 7))) (+ (* -1/2048 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 5))) (* 1/16 (/ (pow x 3) (pow p 3))))))
(* 1/8 (/ (pow x 3) (pow p 3)))
(/ (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 1/8 (pow x 3))) (pow p 3))
(/ (+ (* -4 (/ (* (pow x 3) (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))))) (pow p 4))) (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 1/8 (pow x 3)))) (pow p 3))
(/ (+ (* -4 (/ (* (pow x 3) (+ (* -1/64 (* (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))) (+ (* 16 (pow x 2)) (* 32 (pow x 2))))) (+ (* -1/262144 (* (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (+ (* 16 (pow x 2)) (* 32 (pow x 2))))) (+ (* 1/4096 (pow x 6)) (* 1/128 (* (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4)))))) (+ (* 16 (pow x 2)) (* 32 (pow x 2))))))))) (pow p 6))) (+ (* -4 (/ (* (pow x 3) (+ (* -1/262144 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (+ (* 1/1048576 (pow (+ (* 16 (pow x 2)) (* 32 (pow x 2))) 2)) (* 1/4096 (+ (* 4 (pow x 4)) (* 8 (pow x 4))))))) (pow p 4))) (+ (* -1/1024 (/ (* (pow x 3) (+ (* 16 (pow x 2)) (* 32 (pow x 2)))) (pow p 2))) (* 1/8 (pow x 3))))) (pow p 3))
(* 4 (pow p 2))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(- (+ 1/2 (* -1/32 (/ (pow x 3) (pow p 3)))) (* -1/4 (/ x p)))
(- (+ 1/2 (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5)))) (+ (* -1/4 (/ x p)) (* 1/32 (/ (pow x 3) (pow p 3)))))
(- (* 1/4 (/ (pow x 2) (pow p 2))) 1)
(- (+ (* -1/16 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))) 1)
(- (+ (* 1/64 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))) (+ 1 (* 1/16 (/ (pow x 4) (pow p 4)))))
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))
(* -1/2 (/ x p))
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(/ (- (+ (* -4 (/ (pow p 4) (pow x 2))) (pow p 2)) (* -1 (/ (pow p 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* 16 (/ (pow p 6) (pow x 4))) (pow p 2))) (+ (* -1 (/ (* (pow p 2) (- (* -4 (pow p 4)) (* -1 (pow p 4)))) (pow x 4))) (+ (* -1 (/ (pow p 4) (pow x 2))) (* -1/4 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4)))))) (pow x 2))
(/ (- (+ (* -64 (/ (pow p 8) (pow x 6))) (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* 16 (/ (pow p 6) (pow x 4))) (pow p 2)))) (+ (* -1 (/ (* (pow p 2) (- (* -4 (pow p 4)) (* -1 (pow p 4)))) (pow x 4))) (+ (* -1 (/ (* (pow p 2) (- (* 16 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -4 (pow p 4)) (* -1 (pow p 4))))) (* -1/4 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 6))) (+ (* -1 (/ (pow p 4) (pow x 2))) (+ (* -1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -4 (pow p 4)) (* -1 (pow p 4)))) (pow x 6))) (+ (* -1/4 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4))) (* -1/4 (/ (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (pow x 6))))))))) (pow x 2))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 (.f64 #s(literal 11/8 binary64) (.f64 p p)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) #s(literal -69/16 binary64) (/.f64 #s(literal 11/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64))
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
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(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -10 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64))
(+ 1 (* -2 (/ (pow p 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
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(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -20 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64))
x
(+ x (* 2 (/ (pow p 2) x)))
(fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x)
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) (.f64 p p) x)
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(* -1 (/ p x))
(neg.f64 (/.f64 p x))
(/ p x)
(/.f64 p x)
-1
#s(literal -1 binary64)
(- (* 2 (/ (pow p 2) (pow x 2))) 1)
(-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1 (/ (pow p 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1/4 binary64))
(+ 1/4 (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 p p) #s(literal 1/4 binary64))
(+ 1/4 (* (pow p 2) (- (* (pow p 2) (+ (* -16 (/ (pow p 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1/4 binary64))
(/ (pow p 2) (pow x 2))
(*.f64 (/.f64 p x) (/.f64 p x))
(* (pow p 2) (+ (* -4 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))
(.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 p p))
(* (pow p 2) (+ (* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 p p)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 p p))
(* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -64 (/ (pow p 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) #s(literal -64 binary64) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 p p)) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 p p))
(* (pow p 2) (+ (* -3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))
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(* (pow p 2) (+ (* (pow p 2) (- (* 10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 10 binary64) (.f64 p p)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 p p))
(* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -35 (/ (pow p 2) (pow x 8))) (* 10 (/ 1 (pow x 6))))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -35 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 p p)) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 p p))
(+ 1 (* (pow p 2) (- (* 1/2 (* (pow p 2) (- (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 49/4 (/ 1 (pow x 4)))))) (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 p p)) (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 12 binary64)) (pow.f64 x #s(literal 14 binary64))) #s(literal -12 binary64) (/.f64 #s(literal 84 binary64) (pow.f64 x #s(literal 10 binary64))))) (/.f64 #s(literal 49/4 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p) #s(literal 1 binary64))
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(+ 1 (* (pow p 2) (- (* (pow p 2) (- (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 12 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 12 binary64)) (pow.f64 x #s(literal 14 binary64))) #s(literal -12 binary64) (/.f64 #s(literal 84 binary64) (pow.f64 x #s(literal 10 binary64))))) (/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* (pow p 2) (- (+ (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* (pow p 2) (- (+ (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 54 (/ 1 (pow x 6)))) (* -2 (/ (- (* -1/4 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 12 (/ 1 (pow x 4)))) (pow x 2)))))) (* 12 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
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(+ 1 (* -3 (/ (pow p 2) (pow x 2))))
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(/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) (pow.f64 p #s(literal 6 binary64))) #s(literal -64 binary64) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64) (neg.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64)) (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64) (neg.f64 (.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)))))) (.f64 (.f64 p p) #s(literal 12 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64) (neg.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64) (neg.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64)) (fma.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 p p) #s(literal 12 binary64))) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64))) #s(literal 1/2 binary64) (.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64) (neg.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64)) (fma.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 p p) #s(literal 12 binary64))) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)))) (.f64 x x)))))) (.f64 x x))
(- (* 1/2 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow x 2))) 1)
(-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 (*.f64 p p) #s(literal 12 binary64)) x)) #s(literal 1 binary64))
(- (+ (* 1/2 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 4))) (* 1/2 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow x 2)))) 1)
(-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 (.f64 p p) x) (/.f64 #s(literal 12 binary64) x)))) #s(literal 1 binary64))
(- (+ (* 1/2 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4)))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (+ (* -1 (* (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (+ (* 4 (pow p 2)) (* 8 (pow p 2))))) (* 64 (pow p 6))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -1 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/4 (pow (+ (* 4 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 16 (pow p 4)) (* 32 (pow p 4))))) (pow x 4))) (* 1/2 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow x 2))))) 1)
(-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64) (neg.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64)) (fma.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 p p) #s(literal 12 binary64))) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64))))) (.f64 (.f64 p p) #s(literal 12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 (.f64 p p) x) (/.f64 #s(literal 12 binary64) x))))) #s(literal 1 binary64))
(/ (- (+ (* -4 (/ (pow p 4) (pow x 2))) (pow p 2)) (* -1 (/ (pow p 4) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (-.f64 (.f64 p p) (/.f64 (neg.f64 (pow.f64 p #s(literal 4 binary64))) (.f64 x x)))) (*.f64 x x))
(/ (- (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* 16 (/ (pow p 6) (pow x 4))) (pow p 2))) (+ (* -1 (/ (* (pow p 2) (- (* -4 (pow p 4)) (* -1 (pow p 4)))) (pow x 4))) (+ (* -1 (/ (pow p 4) (pow x 2))) (* -1/4 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4)))))) (pow x 2))
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (.f64 p p))) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3 binary64)) (.f64 p p)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (.f64 p p) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/4 binary64) (/.f64 (neg.f64 (pow.f64 p #s(literal 4 binary64))) (.f64 x x))))) (*.f64 x x))
(/ (- (+ (* -64 (/ (pow p 8) (pow x 6))) (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* 16 (/ (pow p 6) (pow x 4))) (pow p 2)))) (+ (* -1 (/ (* (pow p 2) (- (* -4 (pow p 4)) (* -1 (pow p 4)))) (pow x 4))) (+ (* -1 (/ (* (pow p 2) (- (* 16 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -4 (pow p 4)) (* -1 (pow p 4))))) (* -1/4 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 6))) (+ (* -1 (/ (pow p 4) (pow x 2))) (+ (* -1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -4 (pow p 4)) (* -1 (pow p 4)))) (pow x 6))) (+ (* -1/4 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4))) (* -1/4 (/ (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (pow x 6))))))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -64 binary64) (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (.f64 p p))) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3 binary64)) (.f64 p p)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 (-.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64) (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3 binary64)) (.f64 p p))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))) (.f64 p p)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/4 binary64) (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 p p) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 p p) (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 x #s(literal 6 binary64)))))))))))) (*.f64 x x))

rewrite175.0ms (1.9%)

Memory

-33.0MiB live, 250.2MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	559
0	111	472
1	450	440
0	2971	436

Stop Event

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

Counts

24 → 415

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))
(neg.f64 (/.f64 p x))
(/.f64 p x)
(/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x))))
(.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))
(-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64))

Outputs
(.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
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(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))
(+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64))) (/.f64 (neg.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64))))
(+.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 (neg.f64 x) x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 p p)))))
(/.f64 (hypot.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 p p))) (pow.f64 (.f64 (*.f64 #s(literal 4 binary64) p) p) #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal -1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64))))
(fma.f64 (.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) (fabs.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (log.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) (exp.f64 (log.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) (.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64)) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (log.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) #s(literal 2 binary64) #s(literal 0 binary64)))
(expm1.f64 (.f64 (log.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 2 binary64)) #s(literal -1 binary64))

eval168.0ms (1.8%)

Memory: 15.9MiB live, 252.7MiB allocated; 40ms collecting garbage
Compiler: Compiled 48 651 to 3 998 computations (91.8% saved)

prune88.0ms (0.9%)

Memory

5.5MiB live, 96.7MiB allocated; 9ms collecting garbage

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	680	11	691
Fresh	6	9	15
Picked	2	3	5
Done	2	1	3
Total	690	24	714

Accuracy

99.9%

Counts

714 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.4%	(.f64 (sqrt.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
✓	82.8%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	54.1%	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64))))) (fma.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) #s(literal 1/4 binary64)) (/.f64 (neg.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)))))
	7.7%	(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	7.7%	(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	7.7%	(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 x x (neg.f64 (.f64 #s(literal 2 binary64) (.f64 p p)))) (*.f64 (neg.f64 x) x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	79.5%	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))
	79.1%	(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) p) p)))) #s(literal 1 binary64))) #s(literal 1 binary64))))
	69.3%	(sqrt.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
	54.3%	(sqrt.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64)))))
	54.5%	(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
	54.3%	(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
	50.8%	(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
	79.1%	(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
	10.5%	(sqrt.f64 (/.f64 #s(approx (- 1/4 (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 p p)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 p p))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
	54.6%	(sqrt.f64 (/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(approx (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (-.f64 (*.f64 (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))))
	54.5%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))))) (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))))))))
	50.4%	(sqrt.f64 #s(approx (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
	10.1%	(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p))) (*.f64 x x))))
	10.2%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (.f64 x x))))
✓	54.9%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
	30.5%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
	39.7%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
✓	23.6%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))

Compiler

Compiled 3 537 to 966 computations (72.7% saved)

regimes179.0ms (1.9%)

Memory

11.5MiB live, 171.3MiB allocated; 69ms collecting garbage

Counts

51 → 2

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (neg.f64 x))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 (neg.f64 p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))))))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 x x (neg.f64 (.f64 #s(literal 2 binary64) (.f64 p p)))) (*.f64 (neg.f64 x) x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
(.f64 (sqrt.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(approx (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (-.f64 (*.f64 (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x)))
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))))) (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))))))))
(sqrt.f64 (/.f64 #s(approx (- 1/4 (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 p p)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 p p))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64)))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64))))) (fma.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) #s(literal 1/4 binary64)) (/.f64 (neg.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (.f64 x x))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p))) (*.f64 x x))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p))) (*.f64 x x))))
(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p))) (*.f64 x x))))
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) p) p)))) #s(literal 1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (/.f64 (hypot.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) (pow.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)) #s(literal -1 binary64)))))) #s(literal 1 binary64))))

Outputs

#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))

(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 p #s(literal 4 binary64)) p)))) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) p) p)))) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) p) p)))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) p) p)))) #s(literal 1 binary64))) #s(literal 1 binary64))))

Calls

7 calls:

86.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
28.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
16.0ms	p
13.0ms	x
11.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))

Results

Accuracy	Segments	Branch
82.8%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
99.8%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.8%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.8%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
82.8%	1	`p`
86.8%	2	`x`

Compiler

Compiled 66 to 56 computations (15.2% saved)

regimes56.0ms (0.6%)

Memory

-2.5MiB live, 140.6MiB allocated; 12ms collecting garbage

Counts

47 → 2

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (neg.f64 x))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 (neg.f64 p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))))))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 x x (neg.f64 (.f64 #s(literal 2 binary64) (.f64 p p)))) (*.f64 (neg.f64 x) x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
(.f64 (sqrt.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(approx (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (-.f64 (*.f64 (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x)))
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))))) (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))))))))
(sqrt.f64 (/.f64 #s(approx (- 1/4 (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 p p)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 p p))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64)))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64))))) (fma.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) #s(literal 1/4 binary64)) (/.f64 (neg.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (.f64 x x))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p))) (*.f64 x x))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p))) (*.f64 x x))))
(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p))) (*.f64 x x))))

Outputs

#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))

(sqrt.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 p #s(literal 4 binary64)) p)))) (/.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) p) p)))) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) #s(literal 1 binary64))))

Calls

4 calls:

17.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
11.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
10.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
10.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))

Results

Accuracy	Segments	Branch
99.8%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.8%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.8%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes32.0ms (0.3%)

Memory

-20.6MiB live, 72.2MiB allocated; 3ms collecting garbage

Counts

35 → 2

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (neg.f64 x))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 (neg.f64 p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))))))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 x x (neg.f64 (.f64 #s(literal 2 binary64) (.f64 p p)))) (*.f64 (neg.f64 x) x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
(.f64 (sqrt.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(approx (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (-.f64 (*.f64 (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x)))
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))))) (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))))))))
(sqrt.f64 (/.f64 #s(approx (- 1/4 (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 p p)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 p p))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))

Outputs

#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))

(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))

Calls

4 calls:

9.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
8.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
7.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
7.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))

Results

Accuracy	Segments	Branch
99.8%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.8%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.8%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes38.0ms (0.4%)

Memory

18.2MiB live, 65.0MiB allocated; 2ms collecting garbage

Counts

31 → 2

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (neg.f64 x))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 (neg.f64 p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))))))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 x x (neg.f64 (.f64 #s(literal 2 binary64) (.f64 p p)))) (*.f64 (neg.f64 x) x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
(.f64 (sqrt.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(approx (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (-.f64 (*.f64 (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(approx (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) p)) (/.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x)))

Outputs

#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))

(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Calls

4 calls:

17.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
7.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
6.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
6.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))

Results

Accuracy	Segments	Branch
99.8%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.8%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.8%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes36.0ms (0.4%)

Memory

-19.6MiB live, 31.5MiB allocated; 3ms collecting garbage

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (neg.f64 x))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 (neg.f64 p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))))))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 x x (neg.f64 (.f64 #s(literal 2 binary64) (.f64 p p)))) (*.f64 (neg.f64 x) x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Outputs

#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))

(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Calls

4 calls:

22.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
4.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
4.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
4.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))

Results

Accuracy	Segments	Branch
99.8%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.8%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.8%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes20.0ms (0.2%)

Memory

-8.3MiB live, 36.2MiB allocated; 4ms collecting garbage

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (neg.f64 x))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 (neg.f64 p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))))))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 x x (neg.f64 (.f64 #s(literal 2 binary64) (.f64 p p)))) (*.f64 (neg.f64 x) x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))

Outputs

#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))

(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1/2 binary64)))

Calls

4 calls:

7.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
4.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
4.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
4.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))

Results

Accuracy	Segments	Branch
99.8%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.8%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.8%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes16.0ms (0.2%)

Memory

31.5MiB live, 31.5MiB allocated; 0ms collecting garbage

Counts

17 → 2

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (neg.f64 x))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 (neg.f64 p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))))))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 x x (neg.f64 (.f64 #s(literal 2 binary64) (.f64 p p)))) (*.f64 (neg.f64 x) x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Outputs

#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))

(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))))))

Calls

4 calls:

4.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
4.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
4.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
4.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
98.1%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.1%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
98.1%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes16.0ms (0.2%)

Memory

-12.0MiB live, 32.1MiB allocated; 3ms collecting garbage

Counts

14 → 3

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (neg.f64 x))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 (neg.f64 p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Outputs

#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))

(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))

#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))

Calls

4 calls:

6.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
3.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
3.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
3.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))

Results

Accuracy	Segments	Branch
98.8%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
98.8%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.8%	3	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
98.8%	3	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes9.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (* (+ (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 1) 1/2) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (- (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1)) 1)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (neg.f64 x))))))

Outputs

#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))

(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))

#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))

Calls

4 calls:

2.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
2.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
2.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
2.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))

Results

Accuracy	Segments	Branch
98.6%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
98.6%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.6%	3	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
98.6%	3	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes7.0ms (0.1%)

Memory

-34.0MiB live, 12.8MiB allocated; 2ms collecting garbage

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))

Outputs

#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x)))

(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))

#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))

Calls

4 calls:

2.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
1.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
1.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
1.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))

Results

Accuracy	Segments	Branch
97.9%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
97.9%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
97.9%	3	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
97.9%	3	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes10.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))

(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))

(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))

Outputs
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))

Calls

7 calls:

1.0ms	x
1.0ms	p
1.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
1.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
1.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Results

Accuracy	Segments	Branch
71.9%	2	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
71.9%	2	`p`
65.5%	2	`x`
77.8%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
77.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
77.8%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
77.8%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 66 to 56 computations (15.2% saved)

regimes7.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))

Outputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))

Calls

7 calls:

1.0ms	p
1.0ms	x
1.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
1.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
1.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))

Results

Accuracy	Segments	Branch
39.7%	1	`x`
39.7%	1	`p`
39.7%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
39.7%	1	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
39.7%	1	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
39.7%	1	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
39.7%	1	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 66 to 56 computations (15.2% saved)

bsearch9.0ms (0.1%)

Memory

-52.9MiB live, 0.7MiB allocated; 3ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.004097243102054424

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.004097243102054424

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.004097243102054424

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.004097243102054424

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.004097243102054424

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.004097243102054424

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0349625319449291	0.696490905804707

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7071111929701541	0.9999999963525786
0.0ms	0.0349625319449291	0.696490905804707

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7071111929701541	0.9999999963525786
0.0ms	0.0349625319449291	0.696490905804707

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7071111929701541	0.9999999963525786
0.0ms	0.0349625319449291	0.696490905804707

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch4.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.7071111929701541	0.9999999963525786

Samples

1.0ms

64×

valid

Compiler

Compiled 172 to 151 computations (12.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

adjust: 0.0ms (0% of total)

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

simplify56.0ms (0.6%)

Memory

13.1MiB live, 59.3MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	964
1	191	964
2	280	964
3	473	964
4	1209	964
5	7278	964

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 0 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x))) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) p) p)))) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 0 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x))) (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 0 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x))) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 0 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x))) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 0 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x))) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 0 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x))) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)))))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x))) (if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x))) (if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x))) (if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 7656119366529843/9007199254740992 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))

Outputs
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 0 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x))) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) p) p)))) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 0 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) p) p)))) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 0 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x))) (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 0 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (sqrt.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (/.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) p) p)))) #s(literal -1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 0 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x))) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 0 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 0 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x))) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 0 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 0 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x))) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 0 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 0 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x))) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 0 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)))))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)))))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (neg.f64 (/.f64 p x))) (if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))))
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derivations326.0ms (3.5%)

Memory

-2.7MiB live, 274.7MiB allocated; 52ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 964 to 126 computations (86.9% saved)

preprocess88.0ms (0.9%)

Memory: 0.0MiB live, 144.3MiB allocated; 19ms collecting garbage
Compiler: Compiled 2 514 to 540 computations (78.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze554.0ms (5.9%)

sample2.5s (26.8%)

explain226.0ms (2.4%)

preprocess224.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify147.0ms (1.6%)

localize50.0ms (0.5%)

series21.0ms (0.2%)

simplify176.0ms (1.9%)

rewrite70.0ms (0.8%)

eval27.0ms (0.3%)

prune13.0ms (0.1%)

simplify130.0ms (1.4%)

localize319.0ms (3.4%)

series123.0ms (1.3%)

simplify222.0ms (2.4%)

rewrite94.0ms (1%)

eval128.0ms (1.4%)

prune34.0ms (0.4%)

simplify176.0ms (1.9%)

localize380.0ms (4.1%)

series47.0ms (0.5%)

simplify286.0ms (3.1%)

rewrite141.0ms (1.5%)

eval155.0ms (1.7%)

prune35.0ms (0.4%)

simplify118.0ms (1.3%)

localize1.2s (13.2%)

series91.0ms (1%)

simplify269.0ms (2.9%)

rewrite175.0ms (1.9%)

eval168.0ms (1.8%)

prune88.0ms (0.9%)

regimes179.0ms (1.9%)

regimes56.0ms (0.6%)

regimes32.0ms (0.3%)

regimes38.0ms (0.4%)

regimes36.0ms (0.4%)

regimes20.0ms (0.2%)

regimes16.0ms (0.2%)

regimes16.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch9.0ms (0.1%)

bsearch1.0ms (0%)

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bsearch0.0ms (0%)

bsearch0.0ms (0%)

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bsearch0.0ms (0%)

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bsearch0.0ms (0%)

bsearch4.0ms (0%)

simplify56.0ms (0.6%)

derivations326.0ms (3.5%)

preprocess88.0ms (0.9%)

end0.0ms (0%)

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