Metrics for Given's Rotation SVD example

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze531.0ms (6.9%)

Memory

-30.0MiB live, 620.4MiB allocated

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)

sample2.2s (29%)

Memory

43.9MiB live, 2 965.7MiB allocated

Samples

1.1s	6 217×	0	valid
365.0ms	1 036×	2	valid
169.0ms	608×	1	valid
140.0ms	395×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

const: 352.0ms (27.3% of total)

ival-mult: 242.0ms (18.7% of total)

ival-sqrt: 196.0ms (15.2% of total)

ival-add: 179.0ms (13.9% of total)

adjust: 103.0ms (8% of total)

ival-div: 94.0ms (7.3% of total)

ival-fabs: 61.0ms (4.7% of total)

ival-<: 41.0ms (3.2% of total)

ival-and: 11.0ms (0.9% of total)

exact: 9.0ms (0.7% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain386.0ms (5%)

Memory

3.3MiB live, 530.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
60	-	0	-	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`
34	-	33	(1.2504414828440309e-169 -5.7485453702565895e-145)	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
27	-	27	(-6.466598751159113e-180 -2.3504259490396026e+125)	`(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)))))))`
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	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`p`
0	-	0	-	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`
0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
0	-	0	-	`#s(literal 1/2 binary64)`
0	-	0	-	`(*.f64 #s(literal 4 binary64) p)`
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	60	0
↳	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`	overflow	60
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	overflow	60
`+.f64`	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	1	60
-	60	135

Precision

0.01639344262295082

Recall

0.01639344262295082

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	60
-	60	0	135

Precision?

0.01639344262295082

Recall?

0.01639344262295082

Freqs

test

number	freq
0	195
1	61

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms	38×	1	valid
39.0ms	374×	0	valid
17.0ms	38×	3	valid
16.0ms	62×	2	valid

Compiler

Compiled 397 to 115 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-add: 47.0ms (50.8% of total)

ival-mult: 16.0ms (17.3% of total)

ival-sqrt: 13.0ms (14.1% of total)

ival-div: 10.0ms (10.8% of total)

adjust: 5.0ms (5.4% of total)

ival-true: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

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

preprocess69.0ms (0.9%)

Memory

-1.9MiB live, 33.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	93
1	90	87
2	194	87
3	401	87
4	661	87
5	999	87
6	1334	87
7	1544	87
8	1698	87
9	1932	87
10	1999	87
11	2027	87
12	2029	87
0	14	17
0	23	17
1	38	17
2	45	17
3	47	17
4	48	17
0	48	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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

Symmetry

(abs p)

Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.6%	(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)

simplify4.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
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	128	(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
cost-diff	128	(.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))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	94
0	23	94
1	38	94
2	45	94
3	47	94
4	48	94
0	48	86

Stop Event

1×	iter limit
1×	saturated
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) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x 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) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x 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 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x 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 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))
x
(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
(sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x 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)

localize82.0ms (1.1%)

Memory

-23.4MiB live, 97.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	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))))))
accuracy	6.26205610527528	(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	7.955501596549497	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
accuracy	13.950593301895543	(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))

Samples

23.0ms	187×	0	valid
8.0ms	31×	2	valid
6.0ms	19×	3	valid
3.0ms	19×	1	valid

Compiler

Compiled 190 to 30 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-add: 10.0ms (36% of total)

ival-mult: 7.0ms (25.2% of total)

ival-sqrt: 6.0ms (21.6% of total)

ival-div: 3.0ms (10.8% of total)

adjust: 2.0ms (7.2% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

5 → 83

Calls

Call 1

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

Outputs
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))))))
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)))))
1/2
(+ 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)
(* 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 (* -1/4 (/ 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)))
(* -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 (* 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)))))
(+ (* 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 (+ (* -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))))))
(* 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)))))))
(/ (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))
(* -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))))))))

Calls

6 calls:

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

simplify173.0ms (2.2%)

Memory

4.9MiB live, 192.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	2199
1	1325	2092
2	4611	2019
0	8084	1875

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 82

Calls

Call 1

Inputs
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))))))
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)))))
1/2
(+ 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)
(* 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 (* -1/4 (/ 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)))
(* -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 (* 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)))))
(+ (* 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 (+ (* -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))))))
(* 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)))))))
(/ (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))
(* -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))))))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) p) p (/.f64 #s(literal -1 binary64) (.f64 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 (fma.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 #s(literal -1 binary64) (.f64 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 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 x)) (/.f64 (.f64 p p) (sqrt.f64 #s(literal 2 binary64))) (.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 (fma.f64 (.f64 (.f64 p p) #s(literal 1/2 binary64)) (/.f64 (.f64 (-.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)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 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))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.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)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.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 x x)) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 p p) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (.f64 p p) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 x)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 p p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
2
#s(literal 2 binary64)
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 2 binary64))
(+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) p) p (/.f64 #s(literal -2 binary64) (.f64 x x))) (*.f64 p p) #s(literal 2 binary64))
(+ 2 (* (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 (fma.f64 (fma.f64 #s(literal -20 binary64) (.f64 p (/.f64 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 2 binary64))
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)))))
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(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(/.f64 (.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))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p))) (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 (sqrt.f64 #s(literal 1/2 binary64)) p) (fma.f64 (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (/.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) p) p) (fma.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 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 (+ (* -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 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (+.f64 (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (/.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) p) p) (fma.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (/.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) p) p) (fma.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p))) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) p) (/.f64 #s(literal -12 binary64) p))) (fma.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 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) #s(literal 1/4 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal -128 binary64) (pow.f64 p #s(literal 8 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p)))) (neg.f64 x))
(* 2 (/ (pow p 2) (pow x 2)))
(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x))
(/ (+ (* 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 1/2 binary64) x) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) x) (.f64 (.f64 #s(literal 2 binary64) p) p)) (.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 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p)) (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) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x) (/.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 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 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)))) (fma.f64 (.f64 #s(literal 2 binary64) p) p (/.f64 (fma.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(.f64 (fma.f64 (.f64 p p) (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) 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))))))))
(neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))) x x))

rewrite182.0ms (2.4%)

Memory

-0.6MiB live, 289.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	66
0	23	66
1	77	66
2	501	66
3	6967	66
0	8492	59

Stop Event

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

Counts

5 → 276

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))))))
(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1/2 binary64)))) (-.f64 (.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 3 binary64)))) (fma.f64 x (+.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1/2 binary64)))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))
(.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)) x #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))))
(/.f64 (.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) x #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)) x #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) x))) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) x)) #s(literal 1/4 binary64)) (-.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 x (-.f64 (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))
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(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 (*.f64 p x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 p #s(literal 4 binary64)) p)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) x (.f64 (*.f64 p #s(literal 4 binary64)) p))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 (.f64 p x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 (*.f64 p x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 p #s(literal 4 binary64)) p))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 (*.f64 p x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
(sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1/2 binary64)))

eval56.0ms (0.7%)

Memory: -3.6MiB live, 149.9MiB allocated
Compiler: Compiled 13 029 to 2 054 computations (84.2% saved)

prune12.0ms (0.2%)

Memory

2.0MiB live, 40.7MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	345	10	355
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	346	10	356

Accuracy

99.9%

Counts

356 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.0%	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) x #s(literal 1/2 binary64)))
	73.3%	(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))))))
	6.7%	(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))))))
▶	47.8%	(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))))
▶	28.1%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64))))
	14.4%	(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 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) x) (.f64 p p)) (*.f64 x x))))
	20.8%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 p x) (/.f64 p x))))
	37.1%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
▶	51.9%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
▶	28.6%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)))

Compiler

Compiled 478 to 366 computations (23.4% saved)

simplify121.0ms (1.6%)

Memory

31.8MiB live, 185.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	299
0	66	292
1	112	285
2	186	285
3	374	285
4	628	285
5	799	285
6	1078	285
7	1360	285
8	1850	285
9	3671	285
10	5551	285
11	7574	285
0	8014	285

Stop Event

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

Calls

Call 1

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

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

localize161.0ms (2.1%)

Memory

-21.8MiB live, 309.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.421875	(*.f64 p (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.43359375	(.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	45.5068749270791	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)))
accuracy	0.05078125	(fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64))
accuracy	0.1796875	(/.f64 p (*.f64 x x))
accuracy	6.26205610527528	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64))))
accuracy	45.9532327079082	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)))
accuracy	0	(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
accuracy	0	(/.f64 x p)
accuracy	6.26205610527528	(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))))
accuracy	33.34572885085426	#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)))
accuracy	6.26205610527528	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
accuracy	31.187122288075454	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))
accuracy	0	(*.f64 p #s(literal 4 binary64))
accuracy	6.26205610527528	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) x #s(literal 1/2 binary64)))
accuracy	13.950593301895543	(sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))
accuracy	16.562564281499487	(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) x #s(literal 1/2 binary64))

Samples

56.0ms	31×	2	valid
49.0ms	187×	0	valid
14.0ms	19×	3	valid
10.0ms	19×	1	valid

Compiler

Compiled 560 to 83 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-add: 28.0ms (33.5% of total)

ival-mult: 21.0ms (25.1% of total)

ival-sqrt: 14.0ms (16.7% of total)

ival-div: 11.0ms (13.2% of total)

adjust: 6.0ms (7.2% of total)

ival-neg: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

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

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

series81.0ms (1.1%)

Memory

-0.3MiB live, 37.1MiB allocated

Counts

21 → 111

Calls

Call 1

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

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 x)
(+ (* -1 (/ (pow p 2) (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 7))) (* 3 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
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)))))
(* (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))))))))
(* 1/4 (/ x p))
(/ (+ (* 1/4 x) (* 1/2 p)) p)
(/ x p)
(* -1 p)
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* p (* (sqrt 1/2) (sqrt 2)))
(* p (sqrt 2))
(* 4 p)
(/ p (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)))
(+ 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)))))
(/ 1/4 p)
(/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) 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)))))))
(+ (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 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (/ 1 (pow p 2)) (/ 1 (pow x 2))))
(+ (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 (* -1/4 (/ 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)))
(/ -1/4 p)
(* -1 (/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) 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))))))))
(+ (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)))
(+ (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)))))
(+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/4096 (/ (pow x 2) (pow p 7))) (* 3/512 (/ 1 (pow p 5))))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 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)))))
(+ (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 (pow p 2)) (pow x 2)) (pow x 2))
(* -1 x)
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (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))))))
(/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x)
(/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x)
(/ (+ 1/2 (+ (* -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)))))) x)
(* 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 (/ (* (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)))))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* -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))
(/ (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))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))
(* -1 (/ (+ 1/2 (+ (* -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)))))) 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))))))))
(* -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))

Calls

6 calls:

Time	Variable		Point	Expression
57.0ms	p	@	inf	((sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (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)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (neg p) (/ p (* x x))) 1) (neg p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) (* (* p (sqrt 2)) (sqrt 1/2)) (* p (sqrt 2)) (* p 4) (/ p (* x x)) (neg x))
5.0ms	p	@	0	((sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (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)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (neg p) (/ p (* x x))) 1) (neg p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) (* (* p (sqrt 2)) (sqrt 1/2)) (* p (sqrt 2)) (* p 4) (/ p (* x x)) (neg x))
5.0ms	x	@	-inf	((sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (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)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (neg p) (/ p (* x x))) 1) (neg p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) (* (* p (sqrt 2)) (sqrt 1/2)) (* p (sqrt 2)) (* p 4) (/ p (* x x)) (neg x))
4.0ms	p	@	-inf	((sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (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)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (neg p) (/ p (* x x))) 1) (neg p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) (* (* p (sqrt 2)) (sqrt 1/2)) (* p (sqrt 2)) (* p 4) (/ p (* x x)) (neg x))
4.0ms	x	@	inf	((sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (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)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (neg p) (/ p (* x x))) 1) (neg p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) (* (* p (sqrt 2)) (sqrt 1/2)) (* p (sqrt 2)) (* p 4) (/ p (* x x)) (neg x))

simplify148.0ms (1.9%)

Memory

21.4MiB live, 170.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	572	2924
1	1713	2779
2	6034	2673
0	8036	2495

Stop Event

1×	iter limit
1×	node limit

Counts

111 → 110

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 x)
(+ (* -1 (/ (pow p 2) (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 7))) (* 3 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
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)))))
(* (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))))))))
(* 1/4 (/ x p))
(/ (+ (* 1/4 x) (* 1/2 p)) p)
(/ x p)
(* -1 p)
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* p (* (sqrt 1/2) (sqrt 2)))
(* p (sqrt 2))
(* 4 p)
(/ p (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)))
(+ 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)))))
(/ 1/4 p)
(/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) 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)))))))
(+ (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 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (/ 1 (pow p 2)) (/ 1 (pow x 2))))
(+ (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 (* -1/4 (/ 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)))
(/ -1/4 p)
(* -1 (/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) 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))))))))
(+ (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)))
(+ (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)))))
(+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/4096 (/ (pow x 2) (pow p 7))) (* 3/512 (/ 1 (pow p 5))))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 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)))))
(+ (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 (pow p 2)) (pow x 2)) (pow x 2))
(* -1 x)
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (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))))))
(/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x)
(/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x)
(/ (+ 1/2 (+ (* -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)))))) x)
(* 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 (/ (* (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)))))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* -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))
(/ (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))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))
(* -1 (/ (+ 1/2 (+ (* -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)))))) 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))))))))
(* -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))

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 (fma.f64 (.f64 (/.f64 #s(literal 11/8 binary64) (pow.f64 x #s(literal 4 binary64))) p) p (/.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 (fma.f64 (fma.f64 (.f64 p (/.f64 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 (neg.f64 p) x) (/.f64 p x) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) p) p (/.f64 #s(literal -1 binary64) (.f64 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 (fma.f64 (fma.f64 #s(literal -10 binary64) (.f64 p (/.f64 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 x)
(/.f64 #s(literal 1/2 binary64) x)
(+ (* -1 (/ (pow p 2) (pow x 3))) (* 1/2 (/ 1 x)))
(/.f64 (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1/2 binary64)) x)
(+ (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5 binary64))) p) p (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 1/2 binary64) x))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 7))) (* 3 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
(fma.f64 (fma.f64 (fma.f64 (.f64 p (/.f64 p (pow.f64 x #s(literal 7 binary64)))) #s(literal -10 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 p p) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 p p) (/.f64 #s(literal 1/2 binary64) x))
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 (fma.f64 #s(literal -2 binary64) (.f64 p (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 #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 (pow.f64 p #s(literal 4 binary64)) (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)))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 p p) 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)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 p p) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x))))
(+ (* (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 (fma.f64 (.f64 (.f64 p p) #s(literal 1/2 binary64)) (/.f64 (.f64 (-.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)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 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))))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 p p) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x))) (.f64 (pow.f64 p #s(literal 4 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.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)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.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 x x)) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 p p) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)))))
(* 1/4 (/ x p))
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(+.f64 (fma.f64 (/.f64 (neg.f64 p) x) (/.f64 p x) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(+ 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))))))
(fma.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64))) (/.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 6 binary64)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (neg.f64 p) x) (/.f64 p x) #s(literal 1 binary64)))
(/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x)
(/.f64 (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x)
(/.f64 (+.f64 (fma.f64 (neg.f64 p) (/.f64 p (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) x)
(/ (+ 1/2 (+ (* -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)))))) x)
(/.f64 (fma.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64))) (/.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 6 binary64)))) #s(literal -1/4 binary64) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1/2 binary64))) x)
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64))) x)
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))
(fma.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))) x x)
(+ (* -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))))
(fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 x)) (/.f64 (.f64 p p) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* -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)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (.f64 p p) (fma.f64 #s(literal -32 binary64) (pow.f64 p #s(literal 6 binary64)) (neg.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p)))) (pow.f64 x #s(literal 6 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 p p) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)))))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* -1 (/ p x))
(/.f64 (neg.f64 p) x)
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (neg.f64 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))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) (.f64 p p)) #s(literal -1/64 binary64) (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) p)) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p)) (neg.f64 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))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) p) (+.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) (.f64 p p)) #s(literal -1/64 binary64) (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) p) (/.f64 #s(literal -12 binary64) p))) #s(literal -1/8 binary64) (fma.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 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (.f64 #s(literal -64 binary64) (pow.f64 p #s(literal 8 binary64))))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) (.f64 p p)) #s(literal -1/64 binary64) (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p)) (neg.f64 x))
(/ (pow p 2) (pow x 2))
(*.f64 (/.f64 p x) (/.f64 p 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 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) x) (fma.f64 p p (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (.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 #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 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (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 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 p p (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x))
(/.f64 (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 x))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))
(/.f64 (+.f64 (fma.f64 (neg.f64 p) (/.f64 p (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x))
(* -1 (/ (+ 1/2 (+ (* -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)))))) x))
(/.f64 (fma.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64))) (/.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 6 binary64)))) #s(literal -1/4 binary64) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 x))
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))
(neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))) x 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 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p))) (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 (sqrt.f64 #s(literal 1/2 binary64)) p) (fma.f64 (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) (.f64 p p)) (fma.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) 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 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) (.f64 p p)) (fma.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) p) (/.f64 #s(literal -12 binary64) p))) (fma.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 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) #s(literal 1/4 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal -128 binary64) (pow.f64 p #s(literal 8 binary64))))) (.f64 (pow.f64 x #s(literal 6 binary64)) p)) (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) (.f64 p p)) (fma.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) p)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p)))) (neg.f64 x))

rewrite210.0ms (2.7%)

Memory

-16.9MiB live, 242.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	265
0	66	258
1	229	235
2	1354	233
0	8506	233

Stop Event

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

Counts

21 → 505

Calls

Call 1

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

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

eval121.0ms (1.6%)

Memory: -29.8MiB live, 128.3MiB allocated
Compiler: Compiled 20 808 to 2 665 computations (87.2% saved)

prune14.0ms (0.2%)

Memory

31.4MiB live, 31.4MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	605	6	611
Fresh	5	0	5
Picked	2	3	5
Done	0	0	0
Total	612	9	621

Accuracy

100.0%

Counts

621 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.0%	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) x #s(literal 1/2 binary64)))
▶	73.3%	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) x #s(literal 1/2 binary64)))
	14.4%	(sqrt.f64 #s(approx (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2) (/.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))))
✓	47.8%	(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))))
✓	51.9%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
▶	28.5%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
▶	28.2%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (neg.f64 x)))
▶	28.9%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x))
▶	37.1%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))

Compiler

Compiled 388 to 282 computations (27.3% saved)

simplify134.0ms (1.7%)

Memory

5.7MiB live, 81.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
cost-diff	0	(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (neg.f64 x))
cost-diff	0	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (neg.f64 x)))
cost-diff	0	(/.f64 (*.f64 p p) x)
cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
cost-diff	0	(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 p)
cost-diff	0	(/.f64 (neg.f64 p) x)
cost-diff	0	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x))
cost-diff	0	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)))
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) x #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) x #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	306
0	65	306
1	111	303
2	192	303
3	351	301
4	668	301
5	1756	301
6	3680	301
7	5341	301
8	6481	301
9	7237	301
10	7550	301
11	7709	301
0	8310	288

Stop Event

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

Calls

Call 1

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

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

localize162.0ms (2.1%)

Memory

-22.5MiB live, 176.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.7414606570098587	(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (neg.f64 x))
accuracy	2.876003909602037	(fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p)
accuracy	3.3085856651005296	(/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p)
accuracy	45.66201750815901	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (neg.f64 x)))
accuracy	0	(*.f64 p p)
accuracy	1.227385159194364	(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))
accuracy	3.949687976948667	(/.f64 (*.f64 p p) x)
accuracy	45.76930203806022	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
accuracy	0	(/.f64 (neg.f64 p) x)
accuracy	0	(neg.f64 p)
accuracy	45.5068749270791	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x))
accuracy	40.26906650329225	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))
accuracy	1.9425676322486363	(fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)
accuracy	6.26205610527528	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) x #s(literal 1/2 binary64)))
accuracy	16.562564281499487	(fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) x #s(literal 1/2 binary64))
accuracy	45.511870309200226	#s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))

Samples

50.0ms	187×	0	valid
29.0ms	31×	2	valid
12.0ms	19×	3	valid
7.0ms	19×	1	valid

Compiler

Compiled 548 to 82 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

adjust: 20.0ms (27% of total)

ival-mult: 20.0ms (27% of total)

ival-div: 14.0ms (18.9% of total)

ival-sqrt: 7.0ms (9.4% of total)

ival-add: 7.0ms (9.4% of total)

ival-pow: 3.0ms (4% of total)

ival-neg: 2.0ms (2.7% of total)

exact: 1.0ms (1.3% of total)

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

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

series73.0ms (0.9%)

Memory

-14.2MiB live, 67.1MiB allocated

Counts

20 → 108

Calls

Call 1

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

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 x)
(+ (* -1 (/ (pow p 2) (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 7))) (* 3 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
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))
(* -1 p)
(/ (pow p 2) x)
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))
(pow p 2)
(* -12 (pow p 3))
p
(* p (+ 1 (* -3/2 (/ (pow p 2) (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)))
(+ 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)))))
(/ 1/4 p)
(/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) 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)))))))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))
(* 3/2 (/ (pow p 3) (pow x 3)))
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))
(* 2 (/ (pow p 2) x))
(* (pow p 2) (+ (* 2 (/ 1 x)) (/ x (pow p 2))))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(+ (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 (* -1/4 (/ 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)))
(/ -1/4 p)
(* -1 (/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) 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 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))
(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))
(+ (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)))))
(+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/4096 (/ (pow x 2) (pow p 7))) (* 3/512 (/ 1 (pow p 5))))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 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)))))
(/ (+ (* -1/2 (pow p 2)) (pow x 2)) (pow x 2))
(/ -1/2 x)
(/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))
(/ 1/8 (pow x 2))
(pow x 2)
(/ (+ (* 2 (pow p 2)) (pow x 2)) x)
(/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (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))))))
(/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x)
(/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x)
(/ (+ 1/2 (+ (* -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)))))) x)
(* 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 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(* -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))
(/ (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 (/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))
(* -1 (/ (+ 1/2 (+ (* -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)))))) x))
(* -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))))))))
(* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))
(* -1 (* x (- (* -2 (/ (pow p 2) (pow x 2))) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	x	@	-inf	((sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (neg p) x) (neg p) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (/ 1/8 (* x x)) (* x x) (+ (* (/ 2 x) (* p p)) x) (* p p) (/ (* -12 (pow p 4)) p) (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p))
27.0ms	x	@	0	((sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (neg p) x) (neg p) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (/ 1/8 (* x x)) (* x x) (+ (* (/ 2 x) (* p p)) x) (* p p) (/ (* -12 (pow p 4)) p) (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p))
4.0ms	p	@	inf	((sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (neg p) x) (neg p) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (/ 1/8 (* x x)) (* x x) (+ (* (/ 2 x) (* p p)) x) (* p p) (/ (* -12 (pow p 4)) p) (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p))
3.0ms	p	@	-inf	((sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (neg p) x) (neg p) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (/ 1/8 (* x x)) (* x x) (+ (* (/ 2 x) (* p p)) x) (* p p) (/ (* -12 (pow p 4)) p) (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p))
3.0ms	x	@	inf	((sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (neg p) x) (neg p) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (/ 1/8 (* x x)) (* x x) (+ (* (/ 2 x) (* p p)) x) (* p p) (/ (* -12 (pow p 4)) p) (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p))

simplify227.0ms (2.9%)

Memory

15.2MiB live, 136.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	464	2290
1	1304	2225
2	4245	2175
0	8047	2027

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 106

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 x)
(+ (* -1 (/ (pow p 2) (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 7))) (* 3 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
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))
(* -1 p)
(/ (pow p 2) x)
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))
(pow p 2)
(* -12 (pow p 3))
p
(* p (+ 1 (* -3/2 (/ (pow p 2) (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)))
(+ 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)))))
(/ 1/4 p)
(/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) 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)))))))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))
(* 3/2 (/ (pow p 3) (pow x 3)))
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))
(* 2 (/ (pow p 2) x))
(* (pow p 2) (+ (* 2 (/ 1 x)) (/ x (pow p 2))))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(+ (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 (* -1/4 (/ 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)))
(/ -1/4 p)
(* -1 (/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) 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 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))
(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))
(+ (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)))))
(+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/4096 (/ (pow x 2) (pow p 7))) (* 3/512 (/ 1 (pow p 5))))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 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)))))
(/ (+ (* -1/2 (pow p 2)) (pow x 2)) (pow x 2))
(/ -1/2 x)
(/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))
(/ 1/8 (pow x 2))
(pow x 2)
(/ (+ (* 2 (pow p 2)) (pow x 2)) x)
(/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (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))))))
(/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x)
(/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x)
(/ (+ 1/2 (+ (* -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)))))) x)
(* 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 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(* -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))
(/ (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 (/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))
(* -1 (/ (+ 1/2 (+ (* -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)))))) x))
(* -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))))))))
(* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))
(* -1 (* x (- (* -2 (/ (pow p 2) (pow x 2))) 1)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 11/8 binary64) (pow.f64 x #s(literal 4 binary64))) p) p (/.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 (fma.f64 (fma.f64 (.f64 p (/.f64 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 (neg.f64 p) x) (/.f64 p x) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) p) p (/.f64 #s(literal -1 binary64) (.f64 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 (fma.f64 (fma.f64 #s(literal -10 binary64) (.f64 p (/.f64 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 x)
(/.f64 #s(literal 1/2 binary64) x)
(+ (* -1 (/ (pow p 2) (pow x 3))) (* 1/2 (/ 1 x)))
(fma.f64 (neg.f64 p) (/.f64 p (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(+ (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5 binary64))) p) p (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 1/2 binary64) x))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 7))) (* 3 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
(fma.f64 (fma.f64 (fma.f64 (.f64 p (/.f64 p (pow.f64 x #s(literal 7 binary64)))) #s(literal -10 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 p p) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 p p) (/.f64 #s(literal 1/2 binary64) x))
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 (fma.f64 #s(literal -2 binary64) (.f64 p (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 #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 (pow.f64 p #s(literal 4 binary64)) (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)))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 p p) x))
(* -1 (/ p x))
(/.f64 (neg.f64 p) x)
(* -1 p)
(neg.f64 p)
(/ (pow p 2) x)
(/.f64 (*.f64 p p) x)
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))
(.f64 (fma.f64 #s(literal 3/2 binary64) (.f64 p (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x)) p)
(pow p 2)
(*.f64 p p)
(* -12 (pow p 3))
(*.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal -12 binary64))
p
(* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))
(fma.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) x) (/.f64 #s(literal -3/2 binary64) x) p)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
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(+ (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)))))))
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(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64))) x)
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))
(.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)))) x)
(/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)
(-.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64)) (/.f64 p x))
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(fma.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) x) (/.f64 #s(literal -3/2 binary64) x) p)
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) (neg.f64 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))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) (.f64 p p)) #s(literal -1/64 binary64) (fma.f64 (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) #s(literal 1/2 binary64) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) p)) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p)) (neg.f64 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))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) p) (+.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) (.f64 p p)) #s(literal -1/64 binary64) (fma.f64 (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) #s(literal 1/2 binary64) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p p))) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 p p)) #s(literal 2 binary64) (.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (.f64 #s(literal -64 binary64) (pow.f64 p #s(literal 8 binary64))))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) (.f64 p p)) #s(literal -1/64 binary64) (fma.f64 (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) #s(literal 1/2 binary64) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p)) (neg.f64 x))
(/ (pow p 2) (pow x 2))
(*.f64 (/.f64 p x) (/.f64 p 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 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 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 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) #s(literal 1/2 binary64) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (.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 #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 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 p p)) #s(literal 2 binary64) (.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 p p (/.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) #s(literal 1/2 binary64) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(* -1 (/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x))
(/.f64 (fma.f64 (/.f64 (neg.f64 p) x) (/.f64 p x) #s(literal 1/2 binary64)) (neg.f64 x))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))
(/.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 p) x) (/.f64 p x) #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x))
(* -1 (/ (+ 1/2 (+ (* -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)))))) x))
(/.f64 (fma.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 p p) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (neg.f64 p) x) (/.f64 p x) #s(literal 1/2 binary64))) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) #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 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) 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 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)))))
(* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))
(/.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) x) (/.f64 #s(literal -3/2 binary64) x) p) (neg.f64 x))
(* -1 (* x (- (* -2 (/ (pow p 2) (pow x 2))) 1)))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (.f64 p p) x) #s(literal -1 binary64)) (neg.f64 x))

rewrite169.0ms (2.2%)

Memory

-0.6MiB live, 112.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	274
0	65	274
1	252	271
2	1795	263
0	8285	248

Stop Event

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

Counts

20 → 364

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (* p 4) p) (* x x))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x #s(approx (sqrt (+ ( (* p 4) p) (* x x))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x #s(approx (sqrt (+ ( (* p 4) p) (* x x))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x #s(approx (sqrt (+ ( (* p 4) p) (* x x))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x #s(approx (sqrt (+ ( (* p 4) p) (* x x))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(approx (sqrt (+ ( (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x #s(approx (sqrt (+ ( (* p 4) p) (* x x))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x #s(approx (sqrt (+ ( (* p 4) p) (* x x))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(approx (sqrt (+ ( (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (* p 4) p) (* x x))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) x #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) x #s(literal 1/2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x #s(approx (sqrt (+ ( (* p 4) p) (* x x))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(approx (sqrt (+ ( (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (sqrt (+ ( (* p 4) p) (* x x))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))))))
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eval122.0ms (1.6%)

Memory: 10.0MiB live, 126.7MiB allocated
Compiler: Compiled 18 862 to 2 089 computations (88.9% saved)

prune32.0ms (0.4%)

Memory

-7.6MiB live, 31.4MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	469	4	473
Fresh	1	0	1
Picked	2	3	5
Done	0	3	3
Total	472	10	482

Accuracy

100.0%

Counts

482 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.0%	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) x #s(literal 1/2 binary64)))
✓	73.3%	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) x #s(literal 1/2 binary64)))
✓	47.8%	(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))))
✓	51.9%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
▶	28.5%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)))
✓	28.9%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x))
▶	28.6%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 #s(approx (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (.f64 p (fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (*.f64 p p) #s(literal 1 binary64)))) (neg.f64 x)))
▶	28.5%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(approx (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (-.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64)) (/.f64 p x))))
▶	28.4%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/.f64 (/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) x) x)))
✓	37.1%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))

Compiler

Compiled 291 to 205 computations (29.6% saved)

simplify129.0ms (1.7%)

Memory

-3.3MiB live, 152.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 p p)
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (.f64 p (fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (*.f64 p p) #s(literal 1 binary64))))
cost-diff	0	(/.f64 #s(approx (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (.f64 p (fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (*.f64 p p) #s(literal 1 binary64)))) (neg.f64 x))
cost-diff	0	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 #s(approx (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (.f64 p (fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (*.f64 p p) #s(literal 1 binary64)))) (neg.f64 x)))
cost-diff	0	(*.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64))
cost-diff	0	(-.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64)) (/.f64 p x))
cost-diff	0	#s(approx (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (-.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64)) (/.f64 p x)))
cost-diff	0	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(approx (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (-.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64)) (/.f64 p x))))
cost-diff	0	(/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) x)
cost-diff	0	(/.f64 (/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) x) x)
cost-diff	0	#s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/.f64 (/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) x) x))
cost-diff	0	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/.f64 (/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) x) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	413
0	76	413
1	147	397
2	287	397
3	700	395
4	1648	395
5	3561	395
6	5475	395
7	6776	395
8	7727	395
0	8004	380

Stop Event

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

Calls

Call 1

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

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

localize238.0ms (3.1%)

Memory

19.8MiB live, 310.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 p p)
accuracy	0.2890625	(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
accuracy	3.1394197125115038	(fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64))
accuracy	45.76930203806022	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)))
accuracy	0.25	(/.f64 #s(literal -3/2 binary64) (*.f64 x x))
accuracy	0.7414606570098587	(/.f64 #s(approx (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (.f64 p (fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (*.f64 p p) #s(literal 1 binary64)))) (neg.f64 x))
accuracy	3.1074895306937016	(fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64))
accuracy	45.66201750815901	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 #s(approx (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (.f64 p (fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (*.f64 p p) #s(literal 1 binary64)))) (neg.f64 x)))
accuracy	0.09765625	(*.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64))
accuracy	0.23474506837909412	(pow.f64 (/.f64 p x) #s(literal 3 binary64))
accuracy	4.347633544132265	(-.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64)) (/.f64 p x))
accuracy	45.66201750815901	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(approx (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (-.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64)) (/.f64 p x))))
accuracy	0.0078125	(fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x))
accuracy	1.200041409194364	(/.f64 (/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) x) x)
accuracy	2.001766428065684	(/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) x)
accuracy	45.76930203806022	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/.f64 (/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) x) x)))

Samples

79.0ms	187×	0	valid
20.0ms	31×	2	valid
16.0ms	19×	3	valid
10.0ms	19×	1	valid

Compiler

Compiled 684 to 108 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 25.0ms (29.2% of total)

ival-div: 22.0ms (25.7% of total)

ival-add: 11.0ms (12.9% of total)

adjust: 9.0ms (10.5% of total)

ival-pow: 8.0ms (9.4% of total)

ival-sqrt: 6.0ms (7% of total)

ival-sub: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

series36.0ms (0.5%)

Memory

8.7MiB live, 47.1MiB allocated

Counts

20 → 58

Calls

Call 1

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

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))))))
x
(+ x (* -1/2 (/ (pow p 2) x)))
(* -1 (/ p x))
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))
(* 3/2 (/ (pow p 3) (pow x 3)))
p
(* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))
(+ 1 (* -3/2 (/ (pow p 2) (pow x 2))))
(pow p 2)
(pow x 2)
(+ (* -1/2 (pow p 2)) (pow x 2))
(/ (pow p 3) (pow x 3))
(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 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))
(* -1/2 (/ (pow p 2) x))
(* (pow p 2) (- (/ x (pow p 2)) (* 1/2 (/ 1 x))))
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(* -3/2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(* -1/2 (pow p 2))
(* (pow p 2) (- (/ (pow x 2) (pow p 2)) 1/2))
(+ (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 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))
(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))
(+ (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 (pow p 2)) (pow x 2)) (pow x 2))
(/ (+ (* -1/2 (pow p 2)) (pow x 2)) x)
(/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))
(/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))
(/ (+ (* -3/2 (pow p 2)) (pow x 2)) (pow x 2))
(/ -3/2 (pow x 2))
(/ -1/2 (pow x 2))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))
(* x (+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))))
(/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)
(/ (- (* 3/2 (/ (pow p 3) (pow x 2))) p) x)
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(* (pow x 2) (+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))))
(* -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))
(* -1 (* x (- (* 1/2 (/ (pow p 2) (pow x 2))) 1)))
(* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))
(* -1 (/ (- (* -3/2 (/ (pow p 3) (pow x 2))) (* -1 p)) x))

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	p	@	inf	((sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ (/ (+ (* (* p p) -1/2) (* x x)) x) x) (/ (+ (* (* p p) -1/2) (* x x)) x) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (- (* (pow (/ p x) 3) 3/2) (/ p x)) (* (pow (/ p x) 3) 3/2) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (+ (* (/ -3/2 (* x x)) (* p p)) 1) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ -1/2 (* x x)) (* p p)) 1) (* x x) (* p p) (+ (* (* p p) -1/2) (* x x)) (pow (/ p x) 3) (/ -3/2 (* x x)) (/ -1/2 (* x x)))
4.0ms	p	@	-inf	((sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ (/ (+ (* (* p p) -1/2) (* x x)) x) x) (/ (+ (* (* p p) -1/2) (* x x)) x) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (- (* (pow (/ p x) 3) 3/2) (/ p x)) (* (pow (/ p x) 3) 3/2) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (+ (* (/ -3/2 (* x x)) (* p p)) 1) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ -1/2 (* x x)) (* p p)) 1) (* x x) (* p p) (+ (* (* p p) -1/2) (* x x)) (pow (/ p x) 3) (/ -3/2 (* x x)) (/ -1/2 (* x x)))
4.0ms	x	@	-inf	((sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ (/ (+ (* (* p p) -1/2) (* x x)) x) x) (/ (+ (* (* p p) -1/2) (* x x)) x) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (- (* (pow (/ p x) 3) 3/2) (/ p x)) (* (pow (/ p x) 3) 3/2) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (+ (* (/ -3/2 (* x x)) (* p p)) 1) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ -1/2 (* x x)) (* p p)) 1) (* x x) (* p p) (+ (* (* p p) -1/2) (* x x)) (pow (/ p x) 3) (/ -3/2 (* x x)) (/ -1/2 (* x x)))
3.0ms	x	@	0	((sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ (/ (+ (* (* p p) -1/2) (* x x)) x) x) (/ (+ (* (* p p) -1/2) (* x x)) x) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (- (* (pow (/ p x) 3) 3/2) (/ p x)) (* (pow (/ p x) 3) 3/2) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (+ (* (/ -3/2 (* x x)) (* p p)) 1) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ -1/2 (* x x)) (* p p)) 1) (* x x) (* p p) (+ (* (* p p) -1/2) (* x x)) (pow (/ p x) 3) (/ -3/2 (* x x)) (/ -1/2 (* x x)))
3.0ms	p	@	0	((sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ (/ (+ (* (* p p) -1/2) (* x x)) x) x) (/ (+ (* (* p p) -1/2) (* x x)) x) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (- (* (pow (/ p x) 3) 3/2) (/ p x)) (* (pow (/ p x) 3) 3/2) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (+ (* (/ -3/2 (* x x)) (* p p)) 1) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ -1/2 (* x x)) (* p p)) 1) (* x x) (* p p) (+ (* (* p p) -1/2) (* x x)) (pow (/ p x) 3) (/ -3/2 (* x x)) (/ -1/2 (* x x)))

simplify273.0ms (3.5%)

Memory

-19.9MiB live, 180.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	261	1075
1	732	1041
2	2453	983
3	7865	983
0	8491	921

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 56

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))))))
x
(+ x (* -1/2 (/ (pow p 2) x)))
(* -1 (/ p x))
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))
(* 3/2 (/ (pow p 3) (pow x 3)))
p
(* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))
(+ 1 (* -3/2 (/ (pow p 2) (pow x 2))))
(pow p 2)
(pow x 2)
(+ (* -1/2 (pow p 2)) (pow x 2))
(/ (pow p 3) (pow x 3))
(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 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))
(* -1/2 (/ (pow p 2) x))
(* (pow p 2) (- (/ x (pow p 2)) (* 1/2 (/ 1 x))))
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(* -3/2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(* -1/2 (pow p 2))
(* (pow p 2) (- (/ (pow x 2) (pow p 2)) 1/2))
(+ (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 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))
(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))
(+ (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 (pow p 2)) (pow x 2)) (pow x 2))
(/ (+ (* -1/2 (pow p 2)) (pow x 2)) x)
(/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))
(/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))
(/ (+ (* -3/2 (pow p 2)) (pow x 2)) (pow x 2))
(/ -3/2 (pow x 2))
(/ -1/2 (pow x 2))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))
(* x (+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))))
(/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)
(/ (- (* 3/2 (/ (pow p 3) (pow x 2))) p) x)
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(* (pow x 2) (+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))))
(* -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))
(* -1 (* x (- (* 1/2 (/ (pow p 2) (pow x 2))) 1)))
(* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))
(* -1 (/ (- (* -3/2 (/ (pow p 3) (pow x 2))) (* -1 p)) x))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) p) (/.f64 (/.f64 p x) 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 (fma.f64 (.f64 #s(literal 11/8 binary64) p) (/.f64 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 (fma.f64 (fma.f64 (.f64 #s(literal -69/16 binary64) p) (/.f64 p (pow.f64 x #s(literal 6 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))
x
(+ x (* -1/2 (/ (pow p 2) x)))
(fma.f64 (/.f64 (*.f64 p p) x) #s(literal -1/2 binary64) x)
(* -1 (/ p x))
(/.f64 (neg.f64 p) x)
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))
(fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x))
(* 3/2 (/ (pow p 3) (pow x 3)))
(*.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64))
p
(* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))
(fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (pow.f64 p #s(literal 3 binary64)) x) p)
(+ 1 (* -3/2 (/ (pow p 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -3/2 binary64) p) (/.f64 (/.f64 p x) x) #s(literal 1 binary64))
(pow p 2)
(*.f64 p p)
(pow x 2)
(*.f64 x x)
(+ (* -1/2 (pow p 2)) (pow x 2))
(fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x))
(/ (pow p 3) (pow x 3))
(pow.f64 (/.f64 p x) #s(literal 3 binary64))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 x (.f64 p p)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) x (sqrt.f64 #s(literal 1/2 binary64)))
(+ (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)))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 x (.f64 p p)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) x (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 p #s(literal 3 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(* -1/2 (/ (pow p 2) (pow x 2)))
(.f64 (.f64 #s(literal -1/2 binary64) p) (/.f64 (/.f64 p x) x))
(* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) p) (/.f64 (/.f64 p x) x) #s(literal 1 binary64))
(* -1/2 (/ (pow p 2) x))
(.f64 (/.f64 (.f64 p p) x) #s(literal -1/2 binary64))
(* (pow p 2) (- (/ x (pow p 2)) (* 1/2 (/ 1 x))))
(.f64 (.f64 (-.f64 (/.f64 x (*.f64 p p)) (/.f64 #s(literal 1/2 binary64) x)) p) p)
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))
(.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) x)) (pow.f64 p #s(literal 3 binary64)))
(* -3/2 (/ (pow p 3) (pow x 2)))
(*.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (pow.f64 p #s(literal 3 binary64)) x))
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (pow.f64 p #s(literal 3 binary64)) x) p)
(* -3/2 (/ (pow p 2) (pow x 2)))
(.f64 (.f64 #s(literal -3/2 binary64) p) (/.f64 (/.f64 p x) x))
(* (pow p 2) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal -3/2 binary64) p) (/.f64 (/.f64 p x) x) #s(literal 1 binary64))
(* -1/2 (pow p 2))
(.f64 (.f64 p p) #s(literal -1/2 binary64))
(* (pow p 2) (- (/ (pow x 2) (pow p 2)) 1/2))
(.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 p p)) #s(literal -1/2 binary64)) p) p)
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 x x) p) (.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/8 binary64))) 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)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/8 binary64) (/.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 x (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))) (neg.f64 p))) p))
(* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))
(.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) x)) (pow.f64 p #s(literal 3 binary64)))
(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))
(fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (pow.f64 p #s(literal 3 binary64)) x) p)
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 x (.f64 p p)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) x (sqrt.f64 #s(literal 1/2 binary64)))
(+ (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)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1/32 binary64) (pow.f64 p #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p p))) x (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) x (sqrt.f64 #s(literal 1/2 binary64)))
(/ (+ (* -1/2 (pow p 2)) (pow x 2)) (pow x 2))
(/.f64 (/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) x) x)
(/ (+ (* -1/2 (pow p 2)) (pow x 2)) x)
(/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) x)
(/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))
(/.f64 (.f64 p (fma.f64 (.f64 #s(literal 3/2 binary64) p) p (*.f64 (neg.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64)) (.f64 (.f64 x x) p)) x) x)
(/ (+ (* -3/2 (pow p 2)) (pow x 2)) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 p p) (.f64 x x)) x) x)
(/ -3/2 (pow x 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) p) (/.f64 (/.f64 p x) x) (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 11/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))
(fma.f64 (+.f64 (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 11/4 binary64)) #s(literal 1/2 binary64)) (.f64 p p) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -16 binary64)))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 11/4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) p) (/.f64 (/.f64 p x) x) #s(literal 1 binary64)))
(* x (+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))))
(fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (/.f64 p x) (/.f64 p x)) x)
(/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)
(fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x))
(/ (- (* 3/2 (/ (pow p 3) (pow x 2))) p) x)
(fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x))
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (pow.f64 p #s(literal 3 binary64)) x) p)
(* (pow x 2) (+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) p) (/.f64 (/.f64 p x) x) #s(literal 1 binary64)) (*.f64 x x))
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))
(/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -12 binary64) (.f64 x x)) p) p) (neg.f64 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))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 (pow.f64 p #s(literal 8 binary64)) (/.f64 #s(literal 144 binary64) (.f64 p p))) (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) p)) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) p)) (neg.f64 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))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) p) (+.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 (pow.f64 p #s(literal 8 binary64)) (/.f64 #s(literal 144 binary64) (.f64 p p))) (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))) (/.f64 (/.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p)) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p p) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (.f64 (.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (.f64 #s(literal -64 binary64) (pow.f64 p #s(literal 8 binary64))))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 (pow.f64 p #s(literal 8 binary64)) (/.f64 #s(literal 144 binary64) (.f64 p p))) (fma.f64 (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) p)) (neg.f64 x))
(* -1 (* x (- (* 1/2 (/ (pow p 2) (pow x 2))) 1)))
(fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (/.f64 p x) (/.f64 p x)) x)
(* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))
(neg.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x)))
(* -1 (/ (- (* -3/2 (/ (pow p 3) (pow x 2))) (* -1 p)) x))
(neg.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x)))

rewrite248.0ms (3.2%)

Memory

13.0MiB live, 172.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	369
0	76	367
1	324	349
2	2303	339
0	8511	318

Stop Event

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

Counts

20 → 333

Calls

Call 1

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

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

eval85.0ms (1.1%)

Memory: -3.8MiB live, 72.0MiB allocated
Compiler: Compiled 20 200 to 2 033 computations (89.9% saved)

prune38.0ms (0.5%)

Memory

-11.0MiB live, 28.8MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	415	1	416
Fresh	0	0	0
Picked	0	4	4
Done	0	6	6
Total	415	11	426

Accuracy

100.0%

Counts

426 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.0%	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) x #s(literal 1/2 binary64)))
✓	73.3%	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) x #s(literal 1/2 binary64)))
✓	47.8%	(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))))
✓	51.9%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
✓	28.5%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)))
✓	28.9%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x))
✓	28.6%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 #s(approx (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (.f64 p (fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (*.f64 p p) #s(literal 1 binary64)))) (neg.f64 x)))
✓	28.5%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(approx (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (-.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64)) (/.f64 p x))))
	28.5%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) (*.f64 x x))))
✓	28.4%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/.f64 (/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) x) x)))
✓	37.1%	#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))

Compiler

Compiled 963 to 381 computations (60.4% saved)

regimes75.0ms (1%)

Memory

-4.8MiB live, 49.9MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

38.0ms	(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	x
7.0ms	p
6.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
5.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))

Results

Accuracy	Segments	Branch
84.0%	4	`p`
83.7%	2	`x`
100.0%	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)))))))`
100.0%	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))))))`
100.0%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
100.0%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
80.4%	2	`(.f64 (.f64 #s(literal 4 binary64) p) p)`

Compiler

Compiled 66 to 56 computations (15.2% saved)

regimes23.0ms (0.3%)

Memory

-16.2MiB live, 23.7MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

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

Calls

4 calls:

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)))))))
5.0ms	(/.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
100.0%	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)))))))`
100.0%	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))))))`
100.0%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
100.0%	2	`(/.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)

regimes18.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

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
98.9%	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)))))))`
98.9%	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))))))`
98.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.9%	2	`(/.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

14.1MiB live, 14.1MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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
99.6%	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)))))))`
99.6%	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))))))`
99.6%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.6%	3	`(/.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)

regimes42.0ms (0.5%)

Memory

-22.9MiB live, 14.1MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

Calls

4 calls:

30.0ms	(+.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))))
3.0ms	(.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	(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
99.6%	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)))))))`
99.6%	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))))))`
99.6%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.6%	3	`(/.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)

regimes8.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

Results

Accuracy	Segments	Branch
98.9%	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)))))))`
98.9%	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))))))`
98.9%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.9%	3	`(/.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

7.7MiB live, 7.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

Results

Accuracy	Segments	Branch
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)))))))`
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	`(+.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 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes12.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
67.4%	2	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
67.4%	2	`p`
60.6%	2	`x`
73.1%	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)))))))`
73.1%	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))))))`
73.1%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
73.1%	2	`(/.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)

regimes55.0ms (0.7%)

Memory

-21.7MiB live, 15.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

47.0ms	(+.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 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
1.0ms	x
1.0ms	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
37.1%	1	`x`
37.1%	1	`p`
37.1%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
37.1%	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)))))))`
37.1%	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))))))`
37.1%	1	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
37.1%	1	`(/.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)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999897	-0.006761577637499768

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999897	-0.006761577637499768

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999897	-0.006761577637499768

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1359803488069337e-8	0.9998981175587797
0.0ms	-0.9999999999999897	-0.006761577637499768

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1359803488069337e-8	0.9998981175587797
0.0ms	-0.9999999999999897	-0.006761577637499768

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1359803488069337e-8	0.9998981175587797
0.0ms	-0.9999999999999897	-0.006761577637499768

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1359803488069337e-8	0.9998981175587797
0.0ms	-0.9999999999999897	-0.006761577637499768

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch13.0ms (0.2%)

Memory

16.0MiB live, 16.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.1359803488069337e-8	0.9998981175587797

Samples

6.0ms

144×

valid

Compiler

Compiled 362 to 316 computations (12.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 1.0ms (34.7% of total)

ival-mult: 1.0ms (34.7% of total)

ival-sqrt: 1.0ms (34.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify40.0ms (0.5%)

Memory

-3.2MiB live, 38.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	742
1	116	742
2	128	742
3	136	742
4	140	742
5	141	742

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(approx (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (-.f64 (.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64)) (/.f64 p x)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 #s(approx (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (.f64 p (fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)))) (neg.f64 x))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 #s(approx (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (.f64 p (fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)))) (neg.f64 x))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) x #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 #s(approx (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (.f64 p (fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)))) (neg.f64 x))) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 3022314549036573/151115727451828646838272 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 (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 3022314549036573/151115727451828646838272 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 (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 3022314549036573/151115727451828646838272 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 3022314549036573/151115727451828646838272 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 8286623314361713/18014398509481984 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))

Outputs
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(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(approx (/ (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (neg x)) (-.f64 (.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (/.f64 p x)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 #s(approx (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (.f64 p (fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)))) (neg.f64 x))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 #s(approx (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)) p)) (neg.f64 x))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 #s(approx (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (.f64 p (fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)))) (neg.f64 x))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) x #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 #s(approx (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)) p)) (neg.f64 x))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) x #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 #s(approx (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (.f64 p (fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)))) (neg.f64 x))) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 3022314549036573/151115727451828646838272 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 (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 #s(approx (+ (* (/ 1/8 (* x x)) (/ (* -12 (pow p 4)) p)) p) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)) p)) (neg.f64 x))) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3022314549036573/151115727451828646838272 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 (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 3022314549036573/151115727451828646838272 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 (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3022314549036573/151115727451828646838272 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 (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 3022314549036573/151115727451828646838272 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3022314549036573/151115727451828646838272 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 p p) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 3022314549036573/151115727451828646838272 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (/.f64 (neg.f64 p) x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3022314549036573/151115727451828646838272 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 8286623314361713/18014398509481984 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 8286623314361713/18014398509481984 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) #s(literal 1 binary64))

soundness763.0ms (9.9%)

Memory

7.7MiB live, 638.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	2199
1	1325	2092
2	4611	2019
0	8084	1875
0	464	2290
1	1304	2225
2	4245	2175
0	8047	2027
0	14	66
0	23	66
1	77	66
2	501	66
3	6967	66
0	8492	59
0	572	2924
1	1713	2779
2	6034	2673
0	8036	2495

Stop Event

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

Compiler

Compiled 1 105 to 433 computations (60.8% saved)

preprocess63.0ms (0.8%)

Memory: -18.5MiB live, 138.7MiB allocated
Compiler: Compiled 1 702 to 346 computations (79.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze531.0ms (6.9%)

sample2.2s (29%)

explain386.0ms (5%)

preprocess69.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize82.0ms (1.1%)

series19.0ms (0.2%)

simplify173.0ms (2.2%)

rewrite182.0ms (2.4%)

eval56.0ms (0.7%)

prune12.0ms (0.2%)

simplify121.0ms (1.6%)

localize161.0ms (2.1%)

series81.0ms (1.1%)

simplify148.0ms (1.9%)

rewrite210.0ms (2.7%)

eval121.0ms (1.6%)

prune14.0ms (0.2%)

simplify134.0ms (1.7%)

localize162.0ms (2.1%)

series73.0ms (0.9%)

simplify227.0ms (2.9%)

rewrite169.0ms (2.2%)

eval122.0ms (1.6%)

prune32.0ms (0.4%)

simplify129.0ms (1.7%)

localize238.0ms (3.1%)

series36.0ms (0.5%)

simplify273.0ms (3.5%)

rewrite248.0ms (3.2%)

eval85.0ms (1.1%)

prune38.0ms (0.5%)

regimes75.0ms (1%)

regimes23.0ms (0.3%)

regimes18.0ms (0.2%)

regimes16.0ms (0.2%)

regimes42.0ms (0.5%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes12.0ms (0.2%)

regimes55.0ms (0.7%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch13.0ms (0.2%)

simplify40.0ms (0.5%)

soundness763.0ms (9.9%)

preprocess63.0ms (0.8%)

end0.0ms (0%)

Profiling