Metrics for Given's Rotation SVD example

analyze829.0ms (7.9%)

Memory

-172.6MiB live, 877.0MiB 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)

sample2.4s (22.7%)

Memory

49.7MiB live, 3 912.3MiB allocated

Samples

1.0s	6 258×	0	valid
448.0ms	938×	2	valid
180.0ms	342×	3	valid
134.0ms	639×	1	valid
54.0ms	79×	4	valid
18.0ms	42×	5	exit

Precisions

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

ival-mult: 493.0ms (33.7% of total)

const: 264.0ms (18% of total)

ival-sqrt: 208.0ms (14.2% of total)

ival-add: 158.0ms (10.8% of total)

ival-div: 131.0ms (8.9% of total)

adjust: 61.0ms (4.2% of total)

ival-<: 61.0ms (4.2% of total)

ival-fabs: 60.0ms (4.1% of total)

exact: 14.0ms (1% of total)

ival-and: 11.0ms (0.8% of total)

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

Bogosity

preprocess63.0ms (0.6%)

Memory

24.1MiB live, 63.7MiB allocated

Algorithm

2×	egg-herbie

Rules

248×	`distribute-lft-neg-in`
218×	`unsub-neg`
196×	`associate-r`
196×	`associate-l`
166×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	108
1	102	104
2	202	104
3	407	104
4	666	104
5	1003	104
6	1335	104
7	1547	104
8	1699	104
9	1935	104
10	2002	104
11	2030	104
12	2032	104
0	14	17
1	29	17
2	36	17
3	38	17
4	39	17
0	39	15

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))

Outputs

(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))

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

Call 2

Inputs
(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 (neg p)) (neg p)) (* x x)))))))
(sqrt (* 1/2 (+ 1 (/ (neg x) (sqrt (+ (* (* 4 p) p) (* (neg x) (neg x))))))))
(neg (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 (neg p)) (neg p)) (* x x))))))))
(neg (sqrt (* 1/2 (+ 1 (/ (neg x) (sqrt (+ (* (* 4 p) p) (* (neg x) (neg x)))))))))
(sqrt (* 1/2 (+ 1 (/ p (sqrt (+ (* (* 4 x) x) (* p p)))))))

Outputs
(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
(sqrt (+ 1/2 (/ (* 1/2 x) (sqrt (+ (* 4 (* p p)) (* x x))))))
(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 (neg p)) (neg p)) (* x x)))))))
(sqrt (+ 1/2 (/ (* 1/2 x) (sqrt (+ (* 4 (* p p)) (* x x))))))
(sqrt (* 1/2 (+ 1 (/ (neg x) (sqrt (+ (* (* 4 p) p) (* (neg x) (neg x))))))))
(sqrt (+ 1/2 (/ (* x -1/2) (sqrt (+ (* 4 (* p p)) (* x x))))))
(neg (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 (neg p)) (neg p)) (* x x))))))))
(neg (sqrt (+ 1/2 (/ (* 1/2 x) (sqrt (+ (* 4 (* p p)) (* x x)))))))
(neg (sqrt (* 1/2 (+ 1 (/ (neg x) (sqrt (+ (* (* 4 p) p) (* (neg x) (neg x)))))))))
(neg (sqrt (+ 1/2 (/ (* x -1/2) (sqrt (+ (* 4 (* p p)) (* x x)))))))
(sqrt (* 1/2 (+ 1 (/ p (sqrt (+ (* (* 4 x) x) (* p p)))))))
(sqrt (+ 1/2 (/ (* 1/2 p) (sqrt (+ (* x (* x 4)) (* p p))))))

Symmetry

(abs p)

explain272.0ms (2.6%)

Memory

7.5MiB live, 449.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
66	0	-	0	-	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`
38	1	(7.466354244056439e-91 -1.6013520541086985e+71)	0	-	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
24	0	-	3	(1.0397240799579751e-125 -7.930557206363986e+32)	`(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	-	0	-	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`(*.f64 x x)`
0	0	-	0	-	`p`
0	0	-	0	-	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`
0	0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
0	0	-	0	-	`#s(literal 1/2 binary64)`
0	0	-	0	-	`(*.f64 #s(literal 4 binary64) p)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`	oflow-rescue	66	0
↳	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`	overflow	66
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	overflow	66
`+.f64`	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	cancellation	39	0
`sqrt.f64`	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`	uflow-rescue	21	0
↳	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`	underflow	11
↳	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`	underflow	32
↳	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	underflow	32
↳	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`	underflow	15
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	underflow	62

Confusion

	Predicted +	Predicted -
+	60	0
-	66	130

Precision

0.47619047619047616

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	60	0	0
-	66	0	130

Precision?

0.47619047619047616

Recall?

1.0

Freqs

test

number	freq
0	130
1	126

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms	370×	0	valid
16.0ms	52×	2	valid
11.0ms	32×	3	valid
10.0ms	50×	1	valid
3.0ms	8×	4	valid

Compiler

Compiled 230 to 60 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 18.0ms (32.3% of total)

ival-add: 14.0ms (25.2% of total)

ival-sqrt: 11.0ms (19.8% of total)

ival-div: 7.0ms (12.6% of total)

adjust: 4.0ms (7.2% of total)

exact: 1.0ms (1.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.9%	(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 19 to 14 computations (26.3% saved)

simplify7.0ms (0.1%)

Memory

-27.2MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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))))))

Rules

32×	`-lowering-.f32`
32×	`-lowering-.f64`
18×	`accelerator-lowering-fma.f32`
18×	`accelerator-lowering-fma.f64`
12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	94
1	29	94
2	36	94
3	38	94
4	39	94
0	39	86

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
(* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))
1/2
(+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))
1
(/ x (sqrt (+ (* (* 4 p) p) (* x x))))
x
(sqrt (+ (* (* 4 p) p) (* x x)))
(+ (* (* 4 p) p) (* x x))
(* (* 4 p) p)
(* 4 p)
4
p
(* x x)

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

localize61.0ms (0.6%)

Memory

34.3MiB live, 151.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.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	91.8%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
✓	accuracy	86.4%	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
✓	accuracy	76.0%	(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))

Samples

17.0ms	185×	0	valid
8.0ms	26×	2	valid
6.0ms	4×	4	valid
6.0ms	16×	3	valid
4.0ms	25×	1	valid

Compiler

Compiled 96 to 16 computations (83.3% saved)

Precisions

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

ival-mult: 9.0ms (31.7% of total)

ival-add: 8.0ms (28.2% of total)

ival-sqrt: 6.0ms (21.1% of total)

ival-div: 3.0ms (10.6% of total)

adjust: 2.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.2%)

Memory

-28.8MiB live, 49.3MiB allocated

Counts

5 → 120

Calls

Call 1

Inputs
#<alt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))>
#<alt (+ (* (* 4 p) p) (* x x))>
#<alt (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))>
#<alt (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))>
#<alt (sqrt (+ (* (* 4 p) p) (* x x)))>

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

30 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
2.0ms	x	@	0	(* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))
1.0ms	x	@	inf	(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
1.0ms	x	@	-inf	(* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))
1.0ms	x	@	inf	(sqrt (+ (* (* 4 p) p) (* x x)))

rewrite345.0ms (3.3%)

Memory

-27.6MiB live, 518.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 862×	`accelerator-lowering-fma.f32`
4 862×	`accelerator-lowering-fma.f64`
3 532×	`-lowering-.f32`
3 532×	`-lowering-.f64`
2 388×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	66
1	68	66
2	492	66
3	6948	66
0	8473	59

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 276

Calls

Call 1

Inputs
(* 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)))

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

simplify414.0ms (4%)

Memory

11.7MiB live, 734.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 590×	`accelerator-lowering-fma.f32`
9 590×	`accelerator-lowering-fma.f64`
6 900×	`-lowering-.f32`
6 900×	`-lowering-.f64`
4 472×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	2482
1	1325	2377
2	4606	2304
0	8075	2141

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
1
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 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 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 (* -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
(+ 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)))))
1/2
(+ 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)))
(pow x 2)
(+ (* 4 (pow p 2)) (pow x 2))
(+ (* 4 (pow p 2)) (pow x 2))
(+ (* 4 (pow p 2)) (pow x 2))
(* 4 (pow p 2))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(* 4 (pow p 2))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(* 4 (pow p 2))
(+ (* 4 (pow p 2)) (pow x 2))
(+ (* 4 (pow p 2)) (pow x 2))
(+ (* 4 (pow p 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) 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))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (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)))) (* (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)))))
(* -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))
(* (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))))))))
(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))))))
(sqrt 1/2)
(+ (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)))
1
(+ 1 (* 1/2 (/ x p)))
(+ 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)))))
2
(+ 2 (* -2 (/ (pow p 2) (pow x 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))))))
(* 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))
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))))))
1
(+ 1 (* 1/2 (/ x p)))
(+ 1 (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))
(+ 1 (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))))
1
(+ 1 (* -1/2 (/ 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)))
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)))))
(* 2 p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -2 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))))))))
(* 2 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)))))
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 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
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(fma.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x x) (.f64 p (*.f64 p p))) (/.f64 #s(literal 1/4 binary64) p)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
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(fma.f64 p (.f64 p (fma.f64 (.f64 p p) (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 p (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x x)) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 x (sqrt.f64 #s(literal 2 binary64)))))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 p p))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (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))))))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 p p))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -3/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 p (*.f64 p p))) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/32 binary64)))) 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)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -3/64 binary64)) p) #s(literal -1/2 binary64) (.f64 #s(literal -1/32 binary64) (*.f64 x x)))) (neg.f64 p))) p))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ x p)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))
(fma.f64 x (fma.f64 (/.f64 (.f64 x x) (.f64 p (*.f64 p p))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (/.f64 x (pow.f64 p #s(literal 5 binary64)))) #s(literal 3/256 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 p (.f64 p p)))) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 6 binary64)) (.f64 (.f64 x x) (*.f64 x x)))))
(+ 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))))))
(+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 6 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -32 binary64) (neg.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (*.f64 p p))))) (pow.f64 x #s(literal 6 binary64))))
(* 2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (*.f64 x x))
(/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x))) (.f64 #s(literal 2 binary64) (.f64 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 p (.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x))) (/.f64 (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (.f64 (.f64 x x) (.f64 x x))))) (.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 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 144 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal -256 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p)))))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 p (.f64 p #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -2 binary64) (.f64 x x))) #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 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) #s(literal -20 binary64) (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ x p)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(+ 1 (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))
(fma.f64 x (fma.f64 (/.f64 (.f64 x x) (.f64 p (*.f64 p p))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(+ 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)))))
(fma.f64 x (fma.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -3/256 binary64) (pow.f64 p #s(literal 5 binary64))) (fma.f64 (/.f64 (.f64 x x) (.f64 p (.f64 p p))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ x p)))
(fma.f64 (/.f64 x p) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/16 binary64) (.f64 p p)) (.f64 #s(literal 1/2 binary64) 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (neg.f64 (/.f64 #s(literal -3/256 binary64) (.f64 (.f64 p p) (.f64 p p)))) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/16 binary64)) (.f64 p p))) p))
x
(+ x (* 2 (/ (pow p 2) x)))
(fma.f64 p (*.f64 p (/.f64 #s(literal 2 binary64) x)) x)
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(fma.f64 p (.f64 p (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 x (.f64 x x))) (/.f64 #s(literal 2 binary64) x))) 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 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) x)) (/.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 2 binary64) x)) x)
(* 2 p)
(*.f64 p #s(literal 2 binary64))
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(.f64 p (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 p p)) #s(literal 2 binary64)))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(.f64 p (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(literal -1/64 binary64) (.f64 (.f64 p p) (*.f64 p p))) #s(literal 2 binary64))))
(* 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)))))))
(.f64 p (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(literal -1/64 binary64) (.f64 (.f64 p p) (.f64 p p))) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 p #s(literal 6 binary64)))))
(* -2 p)
(*.f64 p #s(literal -2 binary64))
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(.f64 p (neg.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 p p)) #s(literal 2 binary64))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(literal -1/64 binary64) (.f64 (.f64 p p) (*.f64 p p))) #s(literal 2 binary64))) (neg.f64 p))
(* -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))))))))
(.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(literal -1/64 binary64) (.f64 (.f64 p p) (.f64 p p))) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 p #s(literal 6 binary64)))) (neg.f64 p))
(* 2 p)
(*.f64 p #s(literal 2 binary64))
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) p) (.f64 p #s(literal 2 binary64)))
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(fma.f64 (.f64 x x) (fma.f64 (/.f64 (.f64 x x) (.f64 p (.f64 p p))) #s(literal -1/64 binary64) (/.f64 #s(literal 1/4 binary64) p)) (*.f64 p #s(literal 2 binary64)))
(+ (* 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)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (/.f64 x (pow.f64 p #s(literal 5 binary64)))) #s(literal 1/512 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 p (.f64 p p)))) (/.f64 #s(literal 1/4 binary64) p)) (.f64 p #s(literal 2 binary64)))
x
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(fma.f64 (/.f64 (.f64 p p) (.f64 x x)) (*.f64 #s(literal 2 binary64) x) x)
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(* 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 x (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(.f64 x (fma.f64 (.f64 p p) (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) (*.f64 x 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 x (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))) x))

eval86.0ms (0.8%)

Memory: -11.7MiB live, 104.8MiB allocated
Compiler: Compiled 15 528 to 1 955 computations (87.4% saved)

prune67.0ms (0.6%)

Memory

7.8MiB live, 122.5MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	388	8	396
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	389	8	397

Accuracy

99.8%

Counts

397 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.7%	(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
▶	20.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 (sqrt.f64 #s(literal 2 binary64)) p))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p))) (neg.f64 x))
▶	29.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) p)) (neg.f64 x))
	50.7%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
	15.1%	(sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x))) (.f64 p p)) (*.f64 x x)))
▶	17.6%	(sqrt.f64 (/.f64 (.f64 p p) (.f64 x x)))
▶	34.3%	(sqrt.f64 #s(literal 1 binary64))
▶	54.6%	(sqrt.f64 #s(literal 1/2 binary64))

Compiler

Compiled 216 to 140 computations (35.2% saved)

simplify307.0ms (2.9%)

Memory

23.8MiB live, 567.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 (sqrt.f64 #s(literal 2 binary64)) p))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p)))
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 (sqrt.f64 #s(literal 2 binary64)) p))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p))) (neg.f64 x))
✓	cost-diff	320	(fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 (sqrt.f64 #s(literal 2 binary64)) p))) #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) p))
✓	cost-diff	640	(/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p)))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) p)
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) p))
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) p)) (neg.f64 x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(*.f64 p p)
✓	cost-diff	0	(/.f64 (.f64 p p) (.f64 x x))
✓	cost-diff	1152	(sqrt.f64 (/.f64 (.f64 p p) (.f64 x x)))
✓	cost-diff	640	(sqrt.f64 #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))

Rules

6 298×	`-lowering-.f32`
6 298×	`-lowering-.f64`
5 446×	`accelerator-lowering-fma.f32`
5 446×	`accelerator-lowering-fma.f64`
4 392×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	207
1	78	185
2	309	173
3	1994	173
4	3240	164
5	7303	164
0	8262	162

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(sqrt 1/2)
1/2
(sqrt 1)
1
(sqrt (/ (* p p) (* x x)))
(/ (* p p) (* x x))
(* p p)
p
(* x x)
x
(/ (* (sqrt 1/2) (* (sqrt 2) p)) (neg x))
(* (sqrt 1/2) (* (sqrt 2) p))
(sqrt 1/2)
1/2
(* (sqrt 2) p)
(sqrt 2)
2
p
(neg x)
x
(/ (* (sqrt 1/2) (+ (* (/ (* (* (* p p) (* p p)) -12) (* (* x x) (* (sqrt 2) p))) 1/4) (* (sqrt 2) p))) (neg x))
(* (sqrt 1/2) (+ (* (/ (* (* (* p p) (* p p)) -12) (* (* x x) (* (sqrt 2) p))) 1/4) (* (sqrt 2) p)))
(sqrt 1/2)
1/2
(+ (* (/ (* (* (* p p) (* p p)) -12) (* (* x x) (* (sqrt 2) p))) 1/4) (* (sqrt 2) p))
(/ (* (* (* p p) (* p p)) -12) (* (* x x) (* (sqrt 2) p)))
(* (* (* p p) (* p p)) -12)
(* (* p p) (* p p))
(* p p)
p
-12
(* (* x x) (* (sqrt 2) p))
(* x x)
x
(* (sqrt 2) p)
(sqrt 2)
2
1/4
(neg x)

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

localize128.0ms (1.2%)

Memory

25.9MiB live, 208.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 (sqrt.f64 #s(literal 2 binary64)) p))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p)))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) p)
✓	accuracy	98.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 (sqrt.f64 #s(literal 2 binary64)) p))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p))) (neg.f64 x))
✓	accuracy	70.3%	(/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.4%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) p))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) p)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 p p)
✓	accuracy	87.3%	(/.f64 (.f64 p p) (.f64 x x))
✓	accuracy	64.3%	(sqrt.f64 (/.f64 (.f64 p p) (.f64 x x)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))

Samples

47.0ms

256×

valid

Compiler

Compiled 207 to 28 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 12.0ms (41.5% of total)

ival-div: 7.0ms (24.2% of total)

ival-sqrt: 7.0ms (24.2% of total)

ival-add: 1.0ms (3.5% of total)

exact: 1.0ms (3.5% of total)

ival-neg: 1.0ms (3.5% of total)

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

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

series26.0ms (0.3%)

Memory

16.3MiB live, 54.1MiB allocated

Counts

14 → 228

Calls

Call 1

Inputs
#<alt (sqrt 1/2)>
#<alt (sqrt 1)>
#<alt (sqrt (/ (* p p) (* x x)))>
#<alt (/ (* p p) (* x x))>
#<alt (* p p)>
#<alt (* x x)>
#<alt (/ (* (sqrt 1/2) (* (sqrt 2) p)) (neg x))>
#<alt (* (sqrt 1/2) (* (sqrt 2) p))>
#<alt (* (sqrt 2) p)>
#<alt (/ (* (* (* p p) (* p p)) -12) (* (* x x) (* (sqrt 2) p)))>
#<alt (+ (* (/ (* (* (* p p) (* p p)) -12) (* (* x x) (* (sqrt 2) p))) 1/4) (* (sqrt 2) p))>
#<alt (/ (* (sqrt 1/2) (+ (* (/ (* (* (* p p) (* p p)) -12) (* (* x x) (* (sqrt 2) p))) 1/4) (* (sqrt 2) p))) (neg x))>
#<alt (* (sqrt 1/2) (+ (* (/ (* (* (* p p) (* p p)) -12) (* (* x x) (* (sqrt 2) p))) 1/4) (* (sqrt 2) p)))>
#<alt (neg x)>

Outputs
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* p (* (sqrt 1/2) (sqrt 2)))>
#<alt (* p (* (sqrt 1/2) (sqrt 2)))>
#<alt (* p (* (sqrt 1/2) (sqrt 2)))>
#<alt (* p (* (sqrt 1/2) (sqrt 2)))>
#<alt (* p (* (sqrt 1/2) (sqrt 2)))>
#<alt (* p (* (sqrt 1/2) (sqrt 2)))>
#<alt (* p (* (sqrt 1/2) (sqrt 2)))>
#<alt (* p (* (sqrt 1/2) (sqrt 2)))>
#<alt (* p (* (sqrt 1/2) (sqrt 2)))>
#<alt (* p (* (sqrt 1/2) (sqrt 2)))>
#<alt (* p (* (sqrt 1/2) (sqrt 2)))>
#<alt (* p (* (sqrt 1/2) (sqrt 2)))>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* p (sqrt 2))>
#<alt (* p (+ (sqrt 2) (* -3 (/ (pow p 2) (* (pow x 2) (sqrt 2))))))>
#<alt (* p (+ (sqrt 2) (* -3 (/ (pow p 2) (* (pow x 2) (sqrt 2))))))>
#<alt (* p (+ (sqrt 2) (* -3 (/ (pow p 2) (* (pow x 2) (sqrt 2))))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* (pow p 3) (- (/ (sqrt 2) (pow p 2)) (* 3 (/ 1 (* (pow x 2) (sqrt 2))))))>
#<alt (* (pow p 3) (- (/ (sqrt 2) (pow p 2)) (* 3 (/ 1 (* (pow x 2) (sqrt 2))))))>
#<alt (* (pow p 3) (- (/ (sqrt 2) (pow p 2)) (* 3 (/ 1 (* (pow x 2) (sqrt 2))))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -1 (* (pow p 3) (+ (* -1 (/ (sqrt 2) (pow p 2))) (* 3 (/ 1 (* (pow x 2) (sqrt 2)))))))>
#<alt (* -1 (* (pow p 3) (+ (* -1 (/ (sqrt 2) (pow p 2))) (* 3 (/ 1 (* (pow x 2) (sqrt 2)))))))>
#<alt (* -1 (* (pow p 3) (+ (* -1 (/ (sqrt 2) (pow p 2))) (* 3 (/ 1 (* (pow x 2) (sqrt 2)))))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (/ (+ (* -3 (/ (pow p 3) (sqrt 2))) (* p (* (pow x 2) (sqrt 2)))) (pow x 2))>
#<alt (/ (+ (* -3 (/ (pow p 3) (sqrt 2))) (* p (* (pow x 2) (sqrt 2)))) (pow x 2))>
#<alt (/ (+ (* -3 (/ (pow p 3) (sqrt 2))) (* p (* (pow x 2) (sqrt 2)))) (pow x 2))>
#<alt (* p (sqrt 2))>
#<alt (+ (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2)))) (* p (sqrt 2)))>
#<alt (+ (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2)))) (* p (sqrt 2)))>
#<alt (+ (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2)))) (* p (sqrt 2)))>
#<alt (* p (sqrt 2))>
#<alt (+ (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2)))) (* p (sqrt 2)))>
#<alt (+ (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2)))) (* p (sqrt 2)))>
#<alt (+ (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2)))) (* p (sqrt 2)))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* p (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (* 3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))))>
#<alt (* p (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (* 3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))))>
#<alt (* p (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (* 3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))))>
#<alt (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))>
#<alt (* (pow p 3) (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) x))) (* 3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2))))))>
#<alt (* (pow p 3) (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) x))) (* 3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2))))))>
#<alt (* (pow p 3) (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) x))) (* 3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2))))))>
#<alt (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))>
#<alt (* -1 (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) x)))))>
#<alt (* -1 (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) x)))))>
#<alt (* -1 (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) x)))))>
#<alt (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))>
#<alt (/ (+ (* -1 (* p (* (pow x 2) (* (sqrt 1/2) (sqrt 2))))) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2)))) (pow x 3))>
#<alt (/ (+ (* -1 (* p (* (pow x 2) (* (sqrt 1/2) (sqrt 2))))) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2)))) (pow x 3))>
#<alt (/ (+ (* -1 (* p (* (pow x 2) (* (sqrt 1/2) (sqrt 2))))) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2)))) (pow x 3))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (/ (+ (* -1 (* p (* (sqrt 1/2) (sqrt 2)))) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) x)>
#<alt (/ (+ (* -1 (* p (* (sqrt 1/2) (sqrt 2)))) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) x)>
#<alt (/ (+ (* -1 (* p (* (sqrt 1/2) (sqrt 2)))) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) x)>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* p (* (sqrt 1/2) (sqrt 2)))) x))>
#<alt (* -1 (/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* p (* (sqrt 1/2) (sqrt 2)))) x))>
#<alt (* -1 (/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* p (* (sqrt 1/2) (sqrt 2)))) x))>
#<alt (* p (* (sqrt 1/2) (sqrt 2)))>
#<alt (* p (+ (* -3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))>
#<alt (* p (+ (* -3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))>
#<alt (* p (+ (* -3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))>
#<alt (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))>
#<alt (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) (pow p 2))))>
#<alt (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) (pow p 2))))>
#<alt (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) (pow p 2))))>
#<alt (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))>
#<alt (* -1 (* (pow p 3) (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) (pow p 2))) (* 3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))))))>
#<alt (* -1 (* (pow p 3) (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) (pow p 2))) (* 3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))))))>
#<alt (* -1 (* (pow p 3) (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) (pow p 2))) (* 3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))))))>
#<alt (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))>
#<alt (/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2))) (* p (* (pow x 2) (* (sqrt 1/2) (sqrt 2))))) (pow x 2))>
#<alt (/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2))) (* p (* (pow x 2) (* (sqrt 1/2) (sqrt 2))))) (pow x 2))>
#<alt (/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2))) (* p (* (pow x 2) (* (sqrt 1/2) (sqrt 2))))) (pow x 2))>
#<alt (* p (* (sqrt 1/2) (sqrt 2)))>
#<alt (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* p (* (sqrt 1/2) (sqrt 2))))>
#<alt (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* p (* (sqrt 1/2) (sqrt 2))))>
#<alt (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* p (* (sqrt 1/2) (sqrt 2))))>
#<alt (* p (* (sqrt 1/2) (sqrt 2)))>
#<alt (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* p (* (sqrt 1/2) (sqrt 2))))>
#<alt (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* p (* (sqrt 1/2) (sqrt 2))))>
#<alt (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* p (* (sqrt 1/2) (sqrt 2))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>

Calls

57 calls:

Time	Variable		Point	Expression
4.0ms	p	@	0	(/ (* (sqrt 1/2) (* (sqrt 2) p)) (neg x))
1.0ms	p	@	0	(/ (* (* (* p p) (* p p)) -12) (* (* x x) (* (sqrt 2) p)))
1.0ms	x	@	0	(/ (* (* (* p p) (* p p)) -12) (* (* x x) (* (sqrt 2) p)))
1.0ms	x	@	0	(/ (* (sqrt 1/2) (* (sqrt 2) p)) (neg x))
1.0ms	p	@	-inf	(/ (* (sqrt 1/2) (+ (* (/ (* (* (* p p) (* p p)) -12) (* (* x x) (* (sqrt 2) p))) 1/4) (* (sqrt 2) p))) (neg x))

rewrite391.0ms (3.7%)

Memory

-61.6MiB live, 777.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 856×	`-lowering-.f32`
7 856×	`-lowering-.f64`
6 676×	`accelerator-lowering-fma.f32`
6 676×	`accelerator-lowering-fma.f64`
3 606×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	141
1	126	110
2	970	101
0	8425	99

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 927

Calls

Call 1

Inputs
(sqrt 1/2)
(sqrt 1)
(sqrt (/ (* p p) (* x x)))
(/ (* p p) (* x x))
(* p p)
(* x x)
(/ (* (sqrt 1/2) (* (sqrt 2) p)) (neg x))
(* (sqrt 1/2) (* (sqrt 2) p))
(* (sqrt 2) p)
(/ (* (* (* p p) (* p p)) -12) (* (* x x) (* (sqrt 2) p)))
(+ (* (/ (* (* (* p p) (* p p)) -12) (* (* x x) (* (sqrt 2) p))) 1/4) (* (sqrt 2) p))
(/ (* (sqrt 1/2) (+ (* (/ (* (* (* p p) (* p p)) -12) (* (* x x) (* (sqrt 2) p))) 1/4) (* (sqrt 2) p))) (neg x))
(* (sqrt 1/2) (+ (* (/ (* (* (* p p) (* p p)) -12) (* (* x x) (* (sqrt 2) p))) 1/4) (* (sqrt 2) p)))
(neg x)

Outputs
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 p x))) #s(literal 1/2 binary64)))
(fabs.f64 (/.f64 p (neg.f64 x)))
(fabs.f64 (/.f64 p x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 p (neg.f64 x)))
(sqrt.f64 (/.f64 (.f64 p p) (.f64 x x)))
(neg.f64 (/.f64 p (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 x p))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x p) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 p (sqrt.f64 x))))
(/.f64 p x)
(/.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 p)))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) p) (.f64 (sqrt.f64 #s(literal -1 binary64)) x))
(/.f64 (/.f64 p (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (neg.f64 p) (neg.f64 x))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 (.f64 x x) (.f64 p p)))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 p (neg.f64 p)) x)) (sqrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) p)) (neg.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (/.f64 p (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(pow.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 p x) #s(literal 1 binary64))
(pow.f64 (/.f64 (.f64 x x) (.f64 p p)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 x p) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 p x)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 (.f64 p p) (.f64 x x)) (/.f64 (.f64 p p) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 p x)))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 #s(literal 1 binary64) (/.f64 p x))
(*.f64 p (/.f64 #s(literal 1 binary64) x))
(*.f64 p (fabs.f64 (/.f64 #s(literal 1 binary64) x)))
(.f64 p (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 p (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(*.f64 (sqrt.f64 p) (/.f64 (sqrt.f64 p) x))
(*.f64 (/.f64 (sqrt.f64 p) x) (sqrt.f64 p))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) p) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) p) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) p) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(*.f64 (/.f64 p (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 p (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 p (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (neg.f64 p) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) p)
(.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) x)))
(*.f64 (sqrt.f64 (/.f64 p x)) (sqrt.f64 (/.f64 p x)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 p x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x x) (*.f64 p p))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 p)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (.f64 p p) (.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (neg.f64 x))) (neg.f64 (/.f64 (.f64 p p) (*.f64 x x))))
(neg.f64 (neg.f64 (/.f64 (.f64 p p) (.f64 x x))))
(neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 p p) (*.f64 x x)))))
(neg.f64 (/.f64 (/.f64 (*.f64 p p) x) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (.f64 p p))))
(neg.f64 (/.f64 (/.f64 (*.f64 p (neg.f64 p)) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 p p)))
(/.f64 p (/.f64 (*.f64 x x) p))
(/.f64 (.f64 p p) (.f64 x x))
(/.f64 (.f64 p (neg.f64 p)) (.f64 x (neg.f64 x)))
(/.f64 (/.f64 p x) (/.f64 x p))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x x) (.f64 p p))))
(/.f64 (/.f64 (*.f64 p p) x) x)
(/.f64 (/.f64 (*.f64 p (neg.f64 p)) x) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 p p)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 p (neg.f64 p))) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 (.f64 p p) #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 1 binary64)) x)
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 p (neg.f64 p)) x)) (neg.f64 x))
(/.f64 (.f64 (.f64 p (neg.f64 p)) #s(literal 1 binary64)) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (/.f64 p x) #s(literal 1 binary64)) (/.f64 x p))
(/.f64 (*.f64 (/.f64 p x) (neg.f64 p)) (neg.f64 x))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 p p)) x)
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 x x) (.f64 p p)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (*.f64 x x)))
(.f64 p (/.f64 p (.f64 x x)))
(.f64 p (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) p))
(.f64 p (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 p x)))
(.f64 (.f64 p p) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (.f64 p p) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(.f64 (.f64 p (neg.f64 p)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 p x) (/.f64 p x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 p p))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 p p)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 p p) (*.f64 x x))))
(.f64 (/.f64 (.f64 p p) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 p (.f64 x x)) p)
(.f64 (/.f64 (.f64 p (neg.f64 p)) x) (/.f64 #s(literal -1 binary64) x))
(.f64 (neg.f64 p) (.f64 p (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 p p) x))
(.f64 (.f64 #s(literal 1 binary64) (.f64 p (neg.f64 p))) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) p) p)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 p)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 p)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 p p))
(-.f64 #s(literal 0 binary64) (*.f64 p (neg.f64 p)))
(sqrt.f64 (.f64 (.f64 p p) (*.f64 p p)))
(neg.f64 (*.f64 p (neg.f64 p)))
(pow.f64 p #s(literal 2 binary64))
(pow.f64 (*.f64 p p) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 p p) (*.f64 p p)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 p)) #s(literal 2 binary64))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (*.f64 p p) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 p p))
(*.f64 p p)
(.f64 (.f64 p p) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 (.f64 p (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) p))
(.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 p (.f64 p #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 p (neg.f64 p)))
(.f64 (sqrt.f64 p) (.f64 (sqrt.f64 p) p))
(*.f64 (neg.f64 p) (neg.f64 p))
(.f64 (.f64 (*.f64 p p) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 p (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 p)) (exp.f64 (log.f64 p)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p (.f64 p #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 2 binary64))
(.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 p (sqrt.f64 p)) (sqrt.f64 p))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x x))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x)))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(neg.f64 (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (neg.f64 x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 #s(literal 0 binary64) (/.f64 p (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (neg.f64 p))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 p x))
(neg.f64 (/.f64 p x))
(neg.f64 (.f64 (/.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (neg.f64 x) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 p)))
(/.f64 p (neg.f64 x))
(/.f64 (/.f64 p x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 x p))
(/.f64 (neg.f64 p) x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 p (/.f64 p (.f64 x x)) (.f64 #s(literal 0 binary64) (/.f64 p x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 p p) (.f64 x x))) (+.f64 #s(literal 0 binary64) (/.f64 p x)))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (.f64 p (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (neg.f64 x) (.f64 p (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) x)
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) x)
(/.f64 (.f64 (.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) x)
(pow.f64 (/.f64 x (neg.f64 p)) #s(literal -1 binary64))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 p (neg.f64 x)))
(*.f64 p (/.f64 #s(literal -1 binary64) x))
(.f64 p (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
(.f64 p (.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 p (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) x)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 p (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 p (neg.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) p)
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) p) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(.f64 (/.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 p)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
(.f64 (neg.f64 p) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))))
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(/.f64 (.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 9 binary64)) (.f64 (.f64 p (.f64 p #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 p p) #s(literal -2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 p))))
(/.f64 (.f64 (neg.f64 (fma.f64 p (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 p (.f64 p #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 9 binary64))) (.f64 (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 p (.f64 p #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x x))))))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (fma.f64 p (-.f64 (.f64 p #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 9 binary64)) (.f64 (.f64 p (.f64 p #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x x)))))))
(/.f64 (.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 9 binary64)) (.f64 (.f64 p (.f64 p #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 p p) #s(literal -2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 p)))))
(/.f64 (.f64 (-.f64 (.f64 p (.f64 p #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 9 binary64)) (.f64 (.f64 p (.f64 p #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x x))))) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 p (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 3 binary64)) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64)))))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64))))) (.f64 p (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64))))) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64))))) p))
(.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64))))) (.f64 p (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64))))) (.f64 p (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64))))) (.f64 p (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64))))) p) #s(literal 1 binary64))
(.f64 (fma.f64 p (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 p (.f64 p #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 9 binary64))) (.f64 (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 p (.f64 p #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x x)))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 p (-.f64 (.f64 p #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 9 binary64)) (.f64 (.f64 p (.f64 p #s(literal 2 binary64))) (.f64 (.f64 x x) (*.f64 x x)))))) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 3 binary64)) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 p)))
(.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 9 binary64)) (.f64 (.f64 p (.f64 p #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 p p) #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 p)))) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (fma.f64 p (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 3 binary64)) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64)) (.f64 p (.f64 p p))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 9 binary64)) (.f64 (.f64 p (.f64 p #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p (-.f64 p (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))))))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 9 binary64)) (.f64 (.f64 p (.f64 p #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 p p)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64))))) p)))
(.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64))))) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 p (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 3 binary64)) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64)))))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 p (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 p (.f64 p #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 9 binary64))) (.f64 (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 p (.f64 p #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 p (-.f64 (.f64 p #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 9 binary64)) (.f64 (.f64 p (.f64 p #s(literal 2 binary64))) (.f64 (.f64 x x) (*.f64 x x)))))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 9 binary64)) (.f64 (.f64 p (.f64 p #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 p p) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 p)))))
(.f64 (.f64 (fma.f64 p (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 p (.f64 p #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 9 binary64))) (.f64 (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 p (.f64 p #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x x)))))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 p (-.f64 (.f64 p #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 9 binary64)) (.f64 (.f64 p (.f64 p #s(literal 2 binary64))) (.f64 (.f64 x x) (*.f64 x x)))))))
(.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 9 binary64)) (.f64 (.f64 p (.f64 p #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 p p) #s(literal -2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 p)))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64))))) (.f64 p (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 p (sqrt.f64 #s(literal 2 binary64))))) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(neg.f64 x)
(neg.f64 (/.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (.f64 x (.f64 x x)))))
(/.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 (neg.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 x (neg.f64 x)) x)
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(.f64 (neg.f64 (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))

simplify323.0ms (3.1%)

Memory

7.1MiB live, 651.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 686×	`accelerator-lowering-fma.f32`
9 686×	`accelerator-lowering-fma.f64`
5 862×	`-lowering-.f32`
5 862×	`-lowering-.f64`
3 268×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	2447
1	325	2429
2	1273	2405
3	4480	2360
4	7643	2360
0	8014	2336

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* p (* (sqrt 1/2) (sqrt 2)))
(* p (* (sqrt 1/2) (sqrt 2)))
(* p (* (sqrt 1/2) (sqrt 2)))
(* p (* (sqrt 1/2) (sqrt 2)))
(* p (* (sqrt 1/2) (sqrt 2)))
(* p (* (sqrt 1/2) (sqrt 2)))
(* p (* (sqrt 1/2) (sqrt 2)))
(* p (* (sqrt 1/2) (sqrt 2)))
(* p (* (sqrt 1/2) (sqrt 2)))
(* p (* (sqrt 1/2) (sqrt 2)))
(* p (* (sqrt 1/2) (sqrt 2)))
(* p (* (sqrt 1/2) (sqrt 2)))
(* p (sqrt 2))
(* p (sqrt 2))
(* p (sqrt 2))
(* p (sqrt 2))
(* p (sqrt 2))
(* p (sqrt 2))
(* p (sqrt 2))
(* p (sqrt 2))
(* p (sqrt 2))
(* p (sqrt 2))
(* p (sqrt 2))
(* p (sqrt 2))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -12 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* p (sqrt 2))
(* p (+ (sqrt 2) (* -3 (/ (pow p 2) (* (pow x 2) (sqrt 2))))))
(* p (+ (sqrt 2) (* -3 (/ (pow p 2) (* (pow x 2) (sqrt 2))))))
(* p (+ (sqrt 2) (* -3 (/ (pow p 2) (* (pow x 2) (sqrt 2))))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* (pow p 3) (- (/ (sqrt 2) (pow p 2)) (* 3 (/ 1 (* (pow x 2) (sqrt 2))))))
(* (pow p 3) (- (/ (sqrt 2) (pow p 2)) (* 3 (/ 1 (* (pow x 2) (sqrt 2))))))
(* (pow p 3) (- (/ (sqrt 2) (pow p 2)) (* 3 (/ 1 (* (pow x 2) (sqrt 2))))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -1 (* (pow p 3) (+ (* -1 (/ (sqrt 2) (pow p 2))) (* 3 (/ 1 (* (pow x 2) (sqrt 2)))))))
(* -1 (* (pow p 3) (+ (* -1 (/ (sqrt 2) (pow p 2))) (* 3 (/ 1 (* (pow x 2) (sqrt 2)))))))
(* -1 (* (pow p 3) (+ (* -1 (/ (sqrt 2) (pow p 2))) (* 3 (/ 1 (* (pow x 2) (sqrt 2)))))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(/ (+ (* -3 (/ (pow p 3) (sqrt 2))) (* p (* (pow x 2) (sqrt 2)))) (pow x 2))
(/ (+ (* -3 (/ (pow p 3) (sqrt 2))) (* p (* (pow x 2) (sqrt 2)))) (pow x 2))
(/ (+ (* -3 (/ (pow p 3) (sqrt 2))) (* p (* (pow x 2) (sqrt 2)))) (pow x 2))
(* p (sqrt 2))
(+ (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2)))) (* p (sqrt 2)))
(+ (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2)))) (* p (sqrt 2)))
(+ (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2)))) (* p (sqrt 2)))
(* p (sqrt 2))
(+ (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2)))) (* p (sqrt 2)))
(+ (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2)))) (* p (sqrt 2)))
(+ (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2)))) (* p (sqrt 2)))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* p (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (* 3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))))
(* p (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (* 3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))))
(* p (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (* 3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))))
(* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))
(* (pow p 3) (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) x))) (* 3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2))))))
(* (pow p 3) (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) x))) (* 3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2))))))
(* (pow p 3) (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) x))) (* 3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2))))))
(* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))
(* -1 (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) x)))))
(* -1 (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) x)))))
(* -1 (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) x)))))
(* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))
(/ (+ (* -1 (* p (* (pow x 2) (* (sqrt 1/2) (sqrt 2))))) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2)))) (pow x 3))
(/ (+ (* -1 (* p (* (pow x 2) (* (sqrt 1/2) (sqrt 2))))) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2)))) (pow x 3))
(/ (+ (* -1 (* p (* (pow x 2) (* (sqrt 1/2) (sqrt 2))))) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2)))) (pow x 3))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(/ (+ (* -1 (* p (* (sqrt 1/2) (sqrt 2)))) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) x)
(/ (+ (* -1 (* p (* (sqrt 1/2) (sqrt 2)))) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) x)
(/ (+ (* -1 (* p (* (sqrt 1/2) (sqrt 2)))) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) x)
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(* -1 (/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(* -1 (/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(* p (* (sqrt 1/2) (sqrt 2)))
(* p (+ (* -3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(* p (+ (* -3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(* p (+ (* -3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))
(* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) (pow p 2))))
(* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) (pow p 2))))
(* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) (pow p 2))))
(* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))
(* -1 (* (pow p 3) (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) (pow p 2))) (* 3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))))))
(* -1 (* (pow p 3) (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) (pow p 2))) (* 3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))))))
(* -1 (* (pow p 3) (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) (pow p 2))) (* 3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))))))
(* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))
(/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2))) (* p (* (pow x 2) (* (sqrt 1/2) (sqrt 2))))) (pow x 2))
(/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2))) (* p (* (pow x 2) (* (sqrt 1/2) (sqrt 2))))) (pow x 2))
(/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2))) (* p (* (pow x 2) (* (sqrt 1/2) (sqrt 2))))) (pow x 2))
(* p (* (sqrt 1/2) (sqrt 2)))
(+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* p (* (sqrt 1/2) (sqrt 2))))
(+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* p (* (sqrt 1/2) (sqrt 2))))
(+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* p (* (sqrt 1/2) (sqrt 2))))
(* p (* (sqrt 1/2) (sqrt 2)))
(+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* p (* (sqrt 1/2) (sqrt 2))))
(+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* p (* (sqrt 1/2) (sqrt 2))))
(+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* p (* (sqrt 1/2) (sqrt 2))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

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

eval267.0ms (2.6%)

Memory: 16.6MiB live, 391.1MiB allocated
Compiler: Compiled 39 796 to 3 537 computations (91.1% saved)

prune267.0ms (2.6%)

Memory

25.3MiB live, 343.2MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	1 350	5	1 355
Fresh	0	3	3
Picked	4	1	5
Done	0	0	0
Total	1 354	9	1 363

Accuracy

100.0%

Counts

1 363 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.7%	(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
▶	20.4%	(/.f64 (fma.f64 (/.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 (.f64 x x) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)) p) (neg.f64 x))
▶	29.7%	(/.f64 (neg.f64 p) x)
	7.9%	(/.f64 p x)
	50.7%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
	15.1%	(sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x))) (.f64 p p)) (*.f64 x x)))
▶	17.5%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 p p)))
✓	54.6%	(sqrt.f64 #s(literal 1/2 binary64))
▶	34.3%	#s(literal 1 binary64)

Compiler

Compiled 202 to 128 computations (36.6% saved)

simplify400.0ms (3.8%)

Memory

-28.6MiB live, 325.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal -3 binary64)))
✓	cost-diff	0	(fma.f64 (/.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 (.f64 x x) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)) p)
✓	cost-diff	0	(/.f64 (fma.f64 (/.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 (.f64 x x) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)) p) (neg.f64 x))
✓	cost-diff	640	(/.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 (.f64 x x) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 p p))
✓	cost-diff	1152	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 p p)))
✓	cost-diff	0	(neg.f64 p)
✓	cost-diff	0	(/.f64 (neg.f64 p) x)
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
✓	cost-diff	640	(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))

Rules

6 008×	`/-lowering-/.f32`
6 008×	`/-lowering-/.f64`
5 034×	`-lowering-.f32`
5 034×	`-lowering-.f64`
5 002×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	179
1	79	175
2	312	151
3	2411	149
4	4071	147
5	7965	147
0	8034	145

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (sqrt 1/2))
1/4
(/ (* x (sqrt 1/2)) p)
(* x (sqrt 1/2))
x
(sqrt 1/2)
1/2
p
1
(/ (neg p) x)
(neg p)
p
x
(sqrt (* (/ 1 (* x x)) (* p p)))
(* (/ 1 (* x x)) (* p p))
(/ 1 (* x x))
1
(* x x)
x
(* p p)
p
(/ (+ (* (/ (* (* p p) (* (* p p) -3)) (* (* x x) (* p (sqrt 2)))) (sqrt 1/2)) p) (neg x))
(+ (* (/ (* (* p p) (* (* p p) -3)) (* (* x x) (* p (sqrt 2)))) (sqrt 1/2)) p)
(/ (* (* p p) (* (* p p) -3)) (* (* x x) (* p (sqrt 2))))
(* (* p p) (* (* p p) -3))
(* p p)
p
(* (* p p) -3)
-3
(* (* x x) (* p (sqrt 2)))
(* x x)
x
(* p (sqrt 2))
(sqrt 2)
2
(sqrt 1/2)
1/2
(neg x)

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

localize98.0ms (0.9%)

Memory

-13.2MiB live, 86.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 (.f64 x x) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.3%	(*.f64 p (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	98.5%	(/.f64 (fma.f64 (/.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 (.f64 x x) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)) p) (neg.f64 x))
✓	accuracy	70.3%	(/.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 (.f64 x x) (*.f64 p (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	100.0%	(*.f64 p p)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	87.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 p p))
✓	accuracy	64.3%	(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 p p)))
✓	accuracy	100.0%	(/.f64 (neg.f64 p) x)
✓	accuracy	100.0%	(neg.f64 p)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	99.6%	(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
✓	accuracy	99.4%	(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))

Samples

58.0ms

256×

valid

Compiler

Compiled 178 to 31 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 14.0ms (44% of total)

ival-div: 8.0ms (25.1% of total)

ival-sqrt: 5.0ms (15.7% of total)

ival-add: 2.0ms (6.3% of total)

ival-neg: 2.0ms (6.3% of total)

exact: 1.0ms (3.1% of total)

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

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

series23.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated

Counts

17 → 300

Calls

Call 1

Inputs
#<alt (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (sqrt 1/2))>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (* x (sqrt 1/2))>
#<alt (sqrt 1/2)>
#<alt (/ (neg p) x)>
#<alt (neg p)>
#<alt (sqrt (* (/ 1 (* x x)) (* p p)))>
#<alt (* (/ 1 (* x x)) (* p p))>
#<alt (/ 1 (* x x))>
#<alt (* x x)>
#<alt (/ (* (* p p) (* (* p p) -3)) (* (* x x) (* p (sqrt 2))))>
#<alt (/ (+ (* (/ (* (* p p) (* (* p p) -3)) (* (* x x) (* p (sqrt 2)))) (sqrt 1/2)) p) (neg x))>
#<alt (+ (* (/ (* (* p p) (* (* p p) -3)) (* (* x x) (* p (sqrt 2)))) (sqrt 1/2)) p)>
#<alt (* (* p p) (* (* p p) -3))>
#<alt (* p p)>
#<alt (* p (sqrt 2))>
#<alt (* (* x x) (* p (sqrt 2)))>

Outputs
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (* 1/4 (/ (* x (sqrt 1/2)) p))>
#<alt (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))>
#<alt (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))>
#<alt (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))>
#<alt (* 1/4 (/ (* x (sqrt 1/2)) p))>
#<alt (* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))>
#<alt (* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))>
#<alt (* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))>
#<alt (* 1/4 (/ (* x (sqrt 1/2)) p))>
#<alt (/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)>
#<alt (/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)>
#<alt (/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (/ (* x (sqrt 1/2)) p)>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))>
#<alt (* -1 (/ p x))>
#<alt (* p (- (* 3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2)))) (/ 1 x)))>
#<alt (* p (- (* 3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2)))) (/ 1 x)))>
#<alt (* p (- (* 3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2)))) (/ 1 x)))>
#<alt (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))>
#<alt (* (pow p 3) (- (* 3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ 1 (* (pow p 2) x))))>
#<alt (* (pow p 3) (- (* 3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ 1 (* (pow p 2) x))))>
#<alt (* (pow p 3) (- (* 3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ 1 (* (pow p 2) x))))>
#<alt (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))>
#<alt (* -1 (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ 1 (* (pow p 2) x)))))>
#<alt (* -1 (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ 1 (* (pow p 2) x)))))>
#<alt (* -1 (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ 1 (* (pow p 2) x)))))>
#<alt (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))>
#<alt (/ (+ (* -1 (* p (pow x 2))) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2)))) (pow x 3))>
#<alt (/ (+ (* -1 (* p (pow x 2))) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2)))) (pow x 3))>
#<alt (/ (+ (* -1 (* p (pow x 2))) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2)))) (pow x 3))>
#<alt (* -1 (/ p x))>
#<alt (/ (+ (* -1 p) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) x)>
#<alt (/ (+ (* -1 p) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) x)>
#<alt (/ (+ (* -1 p) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) x)>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ (+ p (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) x))>
#<alt (* -1 (/ (+ p (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) x))>
#<alt (* -1 (/ (+ p (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) x))>
#<alt p>
#<alt (* p (+ 1 (* -3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))))>
#<alt (* p (+ 1 (* -3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))))>
#<alt (* p (+ 1 (* -3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))))>
#<alt (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))>
#<alt (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow p 2))))>
#<alt (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow p 2))))>
#<alt (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow p 2))))>
#<alt (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))>
#<alt (* -1 (* (pow p 3) (- (* 3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow p 2)))))>
#<alt (* -1 (* (pow p 3) (- (* 3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow p 2)))))>
#<alt (* -1 (* (pow p 3) (- (* 3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow p 2)))))>
#<alt (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))>
#<alt (/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2))) (* p (pow x 2))) (pow x 2))>
#<alt (/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2))) (* p (pow x 2))) (pow x 2))>
#<alt (/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2))) (* p (pow x 2))) (pow x 2))>
#<alt p>
#<alt (+ p (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))))>
#<alt (+ p (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))))>
#<alt (+ p (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))))>
#<alt p>
#<alt (+ p (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))))>
#<alt (+ p (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))))>
#<alt (+ p (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* p (sqrt 2))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>
#<alt (* p (* (pow x 2) (sqrt 2)))>

Calls

75 calls:

Time	Variable		Point	Expression
7.0ms	p	@	-inf	(/ (* (* p p) (* (* p p) -3)) (* (* x x) (* p (sqrt 2))))
1.0ms	x	@	0	(/ (+ (* (/ (* (* p p) (* (* p p) -3)) (* (* x x) (* p (sqrt 2)))) (sqrt 1/2)) p) (neg x))
1.0ms	p	@	0	(/ (+ (* (/ (* (* p p) (* (* p p) -3)) (* (* x x) (* p (sqrt 2)))) (sqrt 1/2)) p) (neg x))
1.0ms	p	@	inf	(/ (+ (* (/ (* (* p p) (* (* p p) -3)) (* (* x x) (* p (sqrt 2)))) (sqrt 1/2)) p) (neg x))
1.0ms	x	@	inf	(/ (+ (* (/ (* (* p p) (* (* p p) -3)) (* (* x x) (* p (sqrt 2)))) (sqrt 1/2)) p) (neg x))

rewrite405.0ms (3.9%)

Memory

10.1MiB live, 482.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 692×	`-lowering-.f32`
6 692×	`-lowering-.f64`
5 716×	`accelerator-lowering-fma.f32`
5 716×	`accelerator-lowering-fma.f64`
4 322×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	147
1	143	124
2	1107	107
0	8774	105

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 789

Calls

Call 1

Inputs
(+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (sqrt 1/2))
(/ (* x (sqrt 1/2)) p)
(* x (sqrt 1/2))
(sqrt 1/2)
(/ (neg p) x)
(neg p)
(sqrt (* (/ 1 (* x x)) (* p p)))
(* (/ 1 (* x x)) (* p p))
(/ 1 (* x x))
(* x x)
(/ (* (* p p) (* (* p p) -3)) (* (* x x) (* p (sqrt 2))))
(/ (+ (* (/ (* (* p p) (* (* p p) -3)) (* (* x x) (* p (sqrt 2)))) (sqrt 1/2)) p) (neg x))
(+ (* (/ (* (* p p) (* (* p p) -3)) (* (* x x) (* p (sqrt 2)))) (sqrt 1/2)) p)
(* (* p p) (* (* p p) -3))
(* p p)
(* p (sqrt 2))
(* (* x x) (* p (sqrt 2)))

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

simplify416.0ms (4%)

Memory

-11.5MiB live, 442.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 964×	`accelerator-lowering-fma.f32`
8 964×	`accelerator-lowering-fma.f64`
6 512×	`-lowering-.f32`
6 512×	`-lowering-.f64`
2 462×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	2348
1	269	2306
2	926	2240
3	4078	2225
4	7135	2225
0	8102	2189

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(* 1/4 (/ (* x (sqrt 1/2)) p))
(* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))
(* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))
(* x (+ (* 1/4 (/ (sqrt 1/2) p)) (/ (sqrt 1/2) x)))
(* 1/4 (/ (* x (sqrt 1/2)) p))
(* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))
(* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))
(* -1 (* x (+ (* -1 (/ (sqrt 1/2) x)) (* -1/4 (/ (sqrt 1/2) p)))))
(* 1/4 (/ (* x (sqrt 1/2)) p))
(/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)
(/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)
(/ (+ (* 1/4 (* x (sqrt 1/2))) (* p (sqrt 1/2))) p)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(/ (* x (sqrt 1/2)) p)
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 p)
(* -1 p)
(* -1 p)
(* -1 p)
(* -1 p)
(* -1 p)
(* -1 p)
(* -1 p)
(* -1 p)
(* -1 p)
(* -1 p)
(* -1 p)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -3 (/ (pow p 3) (* (pow x 2) (sqrt 2))))
(* -1 (/ p x))
(* p (- (* 3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2)))) (/ 1 x)))
(* p (- (* 3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2)))) (/ 1 x)))
(* p (- (* 3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2)))) (/ 1 x)))
(* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))
(* (pow p 3) (- (* 3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ 1 (* (pow p 2) x))))
(* (pow p 3) (- (* 3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ 1 (* (pow p 2) x))))
(* (pow p 3) (- (* 3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ 1 (* (pow p 2) x))))
(* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))
(* -1 (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ 1 (* (pow p 2) x)))))
(* -1 (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ 1 (* (pow p 2) x)))))
(* -1 (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ 1 (* (pow p 2) x)))))
(* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))
(/ (+ (* -1 (* p (pow x 2))) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2)))) (pow x 3))
(/ (+ (* -1 (* p (pow x 2))) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2)))) (pow x 3))
(/ (+ (* -1 (* p (pow x 2))) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2)))) (pow x 3))
(* -1 (/ p x))
(/ (+ (* -1 p) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) x)
(/ (+ (* -1 p) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) x)
(/ (+ (* -1 p) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) x)
(* -1 (/ p x))
(* -1 (/ (+ p (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) x))
(* -1 (/ (+ p (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) x))
(* -1 (/ (+ p (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) x))
p
(* p (+ 1 (* -3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))))
(* p (+ 1 (* -3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))))
(* p (+ 1 (* -3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))))
(* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))
(* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow p 2))))
(* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow p 2))))
(* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow p 2))))
(* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))
(* -1 (* (pow p 3) (- (* 3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow p 2)))))
(* -1 (* (pow p 3) (- (* 3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow p 2)))))
(* -1 (* (pow p 3) (- (* 3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow p 2)))))
(* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))
(/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2))) (* p (pow x 2))) (pow x 2))
(/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2))) (* p (pow x 2))) (pow x 2))
(/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2))) (* p (pow x 2))) (pow x 2))
p
(+ p (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))))
(+ p (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))))
(+ p (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))))
p
(+ p (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))))
(+ p (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))))
(+ p (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))))
(* -3 (pow p 4))
(* -3 (pow p 4))
(* -3 (pow p 4))
(* -3 (pow p 4))
(* -3 (pow p 4))
(* -3 (pow p 4))
(* -3 (pow p 4))
(* -3 (pow p 4))
(* -3 (pow p 4))
(* -3 (pow p 4))
(* -3 (pow p 4))
(* -3 (pow p 4))
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(pow p 2)
(* p (sqrt 2))
(* p (sqrt 2))
(* p (sqrt 2))
(* p (sqrt 2))
(* p (sqrt 2))
(* p (sqrt 2))
(* p (sqrt 2))
(* p (sqrt 2))
(* p (sqrt 2))
(* p (sqrt 2))
(* p (sqrt 2))
(* p (sqrt 2))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))
(* p (* (pow x 2) (sqrt 2)))

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

eval161.0ms (1.5%)

Memory: -22.7MiB live, 333.3MiB allocated
Compiler: Compiled 29 536 to 2 813 computations (90.5% saved)

prune111.0ms (1.1%)

Memory

3.6MiB live, 322.9MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 198	2	1 200
Fresh	1	2	3
Picked	2	3	5
Done	0	1	1
Total	1 201	8	1 209

Accuracy

100.0%

Counts

1 209 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.7%	(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
▶	20.4%	(/.f64 (fma.f64 (/.f64 (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64)))) (.f64 p (.f64 x x))) #s(literal 1/2 binary64) p) (neg.f64 x))
▶	17.9%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 p (neg.f64 p))) p)
✓	29.7%	(/.f64 (neg.f64 p) x)
▶	7.9%	(/.f64 p x)
▶	50.7%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
✓	54.6%	(sqrt.f64 #s(literal 1/2 binary64))
✓	34.3%	#s(literal 1 binary64)

Compiler

Compiled 74 to 51 computations (31.1% saved)

simplify489.0ms (4.7%)

Memory

5.0MiB live, 1 165.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 p (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))))
✓	cost-diff	128	(/.f64 (fma.f64 (/.f64 (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64)))) (.f64 p (.f64 x x))) #s(literal 1/2 binary64) p) (neg.f64 x))
✓	cost-diff	320	(fma.f64 (/.f64 (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64)))) (.f64 p (.f64 x x))) #s(literal 1/2 binary64) p)
✓	cost-diff	640	(/.f64 (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64)))) (.f64 p (.f64 x x)))
✓	cost-diff	0	(*.f64 p (neg.f64 p))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 p (neg.f64 p)))
✓	cost-diff	1024	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 p (neg.f64 p))) p)
✓	cost-diff	0	(/.f64 p x)
✓	cost-diff	0	(/.f64 x p)
✓	cost-diff	0	(fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))

Rules

30 634×	`accelerator-lowering-fma.f32`
30 634×	`accelerator-lowering-fma.f64`
5 738×	`-lowering-.f32`
5 738×	`-lowering-.f64`
3 898×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	151
1	71	127
2	255	117
3	1138	115
4	3020	114
5	5670	114
0	8231	111

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(sqrt (+ (* 1/4 (/ x p)) 1/2))
(+ (* 1/4 (/ x p)) 1/2)
1/4
(/ x p)
x
p
1/2
(/ p x)
p
x
(/ (* (/ 1 x) (* p (neg p))) p)
(* (/ 1 x) (* p (neg p)))
(/ 1 x)
1
x
(* p (neg p))
p
(neg p)
(/ (+ (* (/ (* p (* p (* (* p p) -3))) (* p (* x x))) 1/2) p) (neg x))
(+ (* (/ (* p (* p (* (* p p) -3))) (* p (* x x))) 1/2) p)
(/ (* p (* p (* (* p p) -3))) (* p (* x x)))
(* p (* p (* (* p p) -3)))
p
(* p (* (* p p) -3))
(* (* p p) -3)
(* p p)
-3
(* p (* x x))
(* x x)
x
1/2
(neg x)

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

localize79.0ms (0.8%)

Memory

15.5MiB live, 213.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 p p) #s(literal -3 binary64))
✓	accuracy	99.8%	(.f64 p (.f64 x x))
✓	accuracy	98.5%	(/.f64 (fma.f64 (/.f64 (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64)))) (.f64 p (.f64 x x))) #s(literal 1/2 binary64) p) (neg.f64 x))
✓	accuracy	79.8%	(/.f64 (.f64 p (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64)))) (.f64 p (.f64 x x)))
✓	accuracy	100.0%	(*.f64 p (neg.f64 p))
✓	accuracy	100.0%	(neg.f64 p)
✓	accuracy	97.7%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 p (neg.f64 p)))
✓	accuracy	70.9%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 p (neg.f64 p))) p)
✓	accuracy	100.0%	(/.f64 p x)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 x p)
✓	accuracy	97.0%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))

Samples

36.0ms	185×	0	valid
13.0ms	71×	0	invalid

Compiler

Compiled 149 to 29 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 16.0ms (46.6% of total)

ival-div: 10.0ms (29.1% of total)

ival-neg: 3.0ms (8.7% of total)

ival-add: 2.0ms (5.8% of total)

ival-sqrt: 2.0ms (5.8% of total)

exact: 1.0ms (2.9% of total)

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

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

series24.0ms (0.2%)

Memory

-24.9MiB live, 55.5MiB allocated

Counts

15 → 300

Calls

Call 1

Inputs
#<alt (sqrt (+ (* 1/4 (/ x p)) 1/2))>
#<alt (+ (* 1/4 (/ x p)) 1/2)>
#<alt (/ x p)>
#<alt (/ p x)>
#<alt (/ (* (/ 1 x) (* p (neg p))) p)>
#<alt (* (/ 1 x) (* p (neg p)))>
#<alt (/ 1 x)>
#<alt (* p (neg p))>
#<alt (/ (* p (* p (* (* p p) -3))) (* p (* x x)))>
#<alt (+ (* (/ (* p (* p (* (* p p) -3))) (* p (* x x))) 1/2) p)>
#<alt (/ (+ (* (/ (* p (* p (* (* p p) -3))) (* p (* x x))) 1/2) p) (neg x))>
#<alt (* p (* p (* (* p p) -3)))>
#<alt (neg p)>
#<alt (* p (* x x))>
#<alt (* (* p p) -3)>

Outputs
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))>
#<alt (+ (sqrt 1/2) (* x (+ (* x (- (* 1/1024 (/ x (* (pow p 3) (pow (sqrt 1/2) 5)))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))>
#<alt (* 1/2 (sqrt (/ x p)))>
#<alt (* x (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3))))))>
#<alt (* x (+ (* -1/4 (sqrt (/ (pow p 3) (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3)))))))>
#<alt (* x (+ (* -1/4 (sqrt (/ (pow p 3) (pow x 5)))) (+ (* 1/4 (sqrt (/ (pow p 5) (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3))))))))>
#<alt (* -1 (* (sqrt (/ x p)) (* (sqrt -1) (sqrt -1/4))))>
#<alt (* -1 (* x (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4))))))>
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ (pow p 3) (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4)))))))>
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ (pow p 3) (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (pow p 5) (pow x 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4))))))))>
#<alt (* 1/2 (sqrt (/ x p)))>
#<alt (/ (+ (* 1/2 (sqrt (* p x))) (* 1/2 (sqrt (/ (pow p 3) x)))) p)>
#<alt (/ (+ (* 1/2 (sqrt (* p x))) (* (pow p 2) (+ (* -1/4 (sqrt (/ p (pow x 3)))) (* 1/2 (sqrt (/ 1 (* p x))))))) p)>
#<alt (/ (+ (* 1/2 (sqrt (* p x))) (* (pow p 2) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* (pow p 2) (+ (* -1/4 (sqrt (/ 1 (* (pow p 3) (pow x 3))))) (* 1/4 (sqrt (/ 1 (* p (pow x 5)))))))))) p)>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/1024 (/ (pow x 3) (* (pow p 3) (pow (sqrt 1/2) 5)))) (* 1/8 (/ x (* p (sqrt 1/2)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3))))) p)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3))) (* 1/1024 (/ (pow x 3) (* p (pow (sqrt 1/2) 5))))) p)) (* -1/8 (/ x (sqrt 1/2)))) p)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (* 1/4 (/ x p))>
#<alt (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (/ x p))>
#<alt (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (/ x p))>
#<alt (/ (+ (* 1/4 x) (* 1/2 p)) p)>
#<alt (/ (+ (* 1/4 x) (* 1/2 p)) p)>
#<alt (/ (+ (* 1/4 x) (* 1/2 p)) p)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ x p)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (/ p x)>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (* -1 (/ (pow p 2) x))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* -1 (pow p 2))>
#<alt (* -1 (pow p 2))>
#<alt (* -1 (pow p 2))>
#<alt (* -1 (pow p 2))>
#<alt (* -1 (pow p 2))>
#<alt (* -1 (pow p 2))>
#<alt (* -1 (pow p 2))>
#<alt (* -1 (pow p 2))>
#<alt (* -1 (pow p 2))>
#<alt (* -1 (pow p 2))>
#<alt (* -1 (pow p 2))>
#<alt (* -1 (pow p 2))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt (* -3 (/ (pow p 3) (pow x 2)))>
#<alt p>
#<alt (* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))>
#<alt (* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))>
#<alt (* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))>
#<alt (* -3/2 (/ (pow p 3) (pow x 2)))>
#<alt (* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))>
#<alt (* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))>
#<alt (* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))>
#<alt (* -3/2 (/ (pow p 3) (pow x 2)))>
#<alt (* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))>
#<alt (* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))>
#<alt (* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))>
#<alt (* -3/2 (/ (pow p 3) (pow x 2)))>
#<alt (/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))>
#<alt (/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))>
#<alt (/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))>
#<alt p>
#<alt (+ p (* -3/2 (/ (pow p 3) (pow x 2))))>
#<alt (+ p (* -3/2 (/ (pow p 3) (pow x 2))))>
#<alt (+ p (* -3/2 (/ (pow p 3) (pow x 2))))>
#<alt p>
#<alt (+ p (* -3/2 (/ (pow p 3) (pow x 2))))>
#<alt (+ p (* -3/2 (/ (pow p 3) (pow x 2))))>
#<alt (+ p (* -3/2 (/ (pow p 3) (pow x 2))))>
#<alt (* -1 (/ p x))>
#<alt (* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))>
#<alt (* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))>
#<alt (* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))>
#<alt (* 3/2 (/ (pow p 3) (pow x 3)))>
#<alt (* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))>
#<alt (* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))>
#<alt (* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))>
#<alt (* 3/2 (/ (pow p 3) (pow x 3)))>
#<alt (* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))>
#<alt (* 3/2 (/ (pow p 3) (pow x 3)))>
#<alt (/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))>
#<alt (/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))>
#<alt (/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))>
#<alt (* -1 (/ p x))>
#<alt (/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)>
#<alt (/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)>
#<alt (/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))>
#<alt (* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))>
#<alt (* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (* -3 (pow p 4))>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (* -1 p)>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* p (pow x 2))>
#<alt (* -3 (pow p 2))>
#<alt (* -3 (pow p 2))>
#<alt (* -3 (pow p 2))>
#<alt (* -3 (pow p 2))>
#<alt (* -3 (pow p 2))>
#<alt (* -3 (pow p 2))>
#<alt (* -3 (pow p 2))>
#<alt (* -3 (pow p 2))>
#<alt (* -3 (pow p 2))>
#<alt (* -3 (pow p 2))>
#<alt (* -3 (pow p 2))>
#<alt (* -3 (pow p 2))>

Calls

75 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/ x p)
1.0ms	x	@	-inf	(sqrt (+ (* 1/4 (/ x p)) 1/2))
1.0ms	x	@	inf	(sqrt (+ (* 1/4 (/ x p)) 1/2))
1.0ms	p	@	inf	(/ (* p (* p (* (* p p) -3))) (* p (* x x)))
1.0ms	x	@	0	(/ (* p (* p (* (* p p) -3))) (* p (* x x)))

rewrite316.0ms (3%)

Memory

37.9MiB live, 757.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 986×	`accelerator-lowering-fma.f32`
6 986×	`accelerator-lowering-fma.f64`
6 788×	`-lowering-.f32`
6 788×	`-lowering-.f64`
3 366×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	123
1	132	99
2	967	89
0	8521	85

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 907

Calls

Call 1

Inputs
(sqrt (+ (* 1/4 (/ x p)) 1/2))
(+ (* 1/4 (/ x p)) 1/2)
(/ x p)
(/ p x)
(/ (* (/ 1 x) (* p (neg p))) p)
(* (/ 1 x) (* p (neg p)))
(/ 1 x)
(* p (neg p))
(/ (* p (* p (* (* p p) -3))) (* p (* x x)))
(+ (* (/ (* p (* p (* (* p p) -3))) (* p (* x x))) 1/2) p)
(/ (+ (* (/ (* p (* p (* (* p p) -3))) (* p (* x x))) 1/2) p) (neg x))
(* p (* p (* (* p p) -3)))
(neg p)
(* p (* x x))
(* (* p p) -3)

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

simplify345.0ms (3.3%)

Memory

-27.4MiB live, 525.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 514×	`accelerator-lowering-fma.f32`
11 514×	`accelerator-lowering-fma.f64`
6 904×	`-lowering-.f32`
6 904×	`-lowering-.f64`
1 870×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	2253
1	583	2215
2	1815	2133
3	6059	2130
0	8092	2067

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (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 (- (* 1/1024 (/ x (* (pow p 3) (pow (sqrt 1/2) 5)))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(* 1/2 (sqrt (/ x p)))
(* x (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3))))))
(* x (+ (* -1/4 (sqrt (/ (pow p 3) (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3)))))))
(* x (+ (* -1/4 (sqrt (/ (pow p 3) (pow x 5)))) (+ (* 1/4 (sqrt (/ (pow p 5) (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3))))))))
(* -1 (* (sqrt (/ x p)) (* (sqrt -1) (sqrt -1/4))))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ (pow p 3) (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4)))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ (pow p 3) (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (pow p 5) (pow x 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4))))))))
(* 1/2 (sqrt (/ x p)))
(/ (+ (* 1/2 (sqrt (* p x))) (* 1/2 (sqrt (/ (pow p 3) x)))) p)
(/ (+ (* 1/2 (sqrt (* p x))) (* (pow p 2) (+ (* -1/4 (sqrt (/ p (pow x 3)))) (* 1/2 (sqrt (/ 1 (* p x))))))) p)
(/ (+ (* 1/2 (sqrt (* p x))) (* (pow p 2) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* (pow p 2) (+ (* -1/4 (sqrt (/ 1 (* (pow p 3) (pow x 3))))) (* 1/4 (sqrt (/ 1 (* p (pow x 5)))))))))) p)
(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)))) (+ (* 1/1024 (/ (pow x 3) (* (pow p 3) (pow (sqrt 1/2) 5)))) (* 1/8 (/ x (* p (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3))))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3))) (* 1/1024 (/ (pow x 3) (* p (pow (sqrt 1/2) 5))))) p)) (* -1/8 (/ x (sqrt 1/2)))) p)))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
(* 1/4 (/ x p))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* 1/4 (/ x p))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(* 1/4 (/ x p))
(/ (+ (* 1/4 x) (* 1/2 p)) p)
(/ (+ (* 1/4 x) (* 1/2 p)) p)
(/ (+ (* 1/4 x) (* 1/2 p)) p)
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* 1/4 (/ x p)))
(/ x p)
(/ x p)
(/ x p)
(/ x p)
(/ x p)
(/ x p)
(/ x p)
(/ x p)
(/ x p)
(/ x p)
(/ x p)
(/ x p)
(/ x p)
(/ x p)
(/ x p)
(/ x p)
(/ x p)
(/ x p)
(/ x p)
(/ x p)
(/ x p)
(/ x p)
(/ x p)
(/ x p)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(/ p x)
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(* -1 (/ (pow p 2) x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 (pow p 2))
(* -1 (pow p 2))
(* -1 (pow p 2))
(* -1 (pow p 2))
(* -1 (pow p 2))
(* -1 (pow p 2))
(* -1 (pow p 2))
(* -1 (pow p 2))
(* -1 (pow p 2))
(* -1 (pow p 2))
(* -1 (pow p 2))
(* -1 (pow p 2))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
(* -3 (/ (pow p 3) (pow x 2)))
p
(* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))
(* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))
(* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(* -3/2 (/ (pow p 3) (pow x 2)))
(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))
(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))
(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))
(* -3/2 (/ (pow p 3) (pow x 2)))
(/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))
(/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))
(/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))
p
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
p
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(* -1 (/ p x))
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))
(* 3/2 (/ (pow p 3) (pow x 3)))
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))
(* 3/2 (/ (pow p 3) (pow x 3)))
(* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))
(* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))
(* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))
(* 3/2 (/ (pow p 3) (pow x 3)))
(/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))
(/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))
(/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))
(* -1 (/ p x))
(/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)
(/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)
(/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)
(* -1 (/ p x))
(* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))
(* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))
(* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))
(* -3 (pow p 4))
(* -3 (pow p 4))
(* -3 (pow p 4))
(* -3 (pow p 4))
(* -3 (pow p 4))
(* -3 (pow p 4))
(* -3 (pow p 4))
(* -3 (pow p 4))
(* -3 (pow p 4))
(* -3 (pow p 4))
(* -3 (pow p 4))
(* -3 (pow p 4))
(* -1 p)
(* -1 p)
(* -1 p)
(* -1 p)
(* -1 p)
(* -1 p)
(* -1 p)
(* -1 p)
(* -1 p)
(* -1 p)
(* -1 p)
(* -1 p)
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* p (pow x 2))
(* -3 (pow p 2))
(* -3 (pow p 2))
(* -3 (pow p 2))
(* -3 (pow p 2))
(* -3 (pow p 2))
(* -3 (pow p 2))
(* -3 (pow p 2))
(* -3 (pow p 2))
(* -3 (pow p 2))
(* -3 (pow p 2))
(* -3 (pow p 2))
(* -3 (pow p 2))

Outputs
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (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) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(fma.f64 x (fma.f64 x (/.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 p p))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/1024 (/ x (* (pow p 3) (pow (sqrt 1/2) 5)))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 p (.f64 p p)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 p p)))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1/2 (sqrt (/ x p)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x p)))
(* x (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3))))))
(.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p))) (sqrt.f64 (/.f64 p (.f64 x (*.f64 x x)))))))
(* x (+ (* -1/4 (sqrt (/ (pow p 3) (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3)))))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p))) (sqrt.f64 (/.f64 p (.f64 x (.f64 x x))))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (.f64 p (*.f64 p p)) (pow.f64 x #s(literal 5 binary64)))))))
(* x (+ (* -1/4 (sqrt (/ (pow p 3) (pow x 5)))) (+ (* 1/4 (sqrt (/ (pow p 5) (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* 1/2 (sqrt (/ p (pow x 3))))))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p))) (sqrt.f64 (/.f64 p (.f64 x (.f64 x x))))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (.f64 p (*.f64 p p)) (pow.f64 x #s(literal 5 binary64))))))))
(* -1 (* (sqrt (/ x p)) (* (sqrt -1) (sqrt -1/4))))
(.f64 (sqrt.f64 (/.f64 x p)) (neg.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (/.f64 (.f64 (sqrt.f64 (/.f64 p (.f64 x (.f64 x x)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1/4 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ (pow p 3) (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4)))))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 p (.f64 p p)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (/.f64 (.f64 (sqrt.f64 (/.f64 p (.f64 x (.f64 x x)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1/4 binary64))))) (neg.f64 x))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ (pow p 3) (pow x 5))) (/ (sqrt -1) (pow (sqrt -1/4) 3)))) (+ (* 1/128 (* (sqrt (/ (pow p 5) (pow x 7))) (/ (sqrt -1) (pow (sqrt -1/4) 5)))) (+ (* 1/4 (* (sqrt (/ p (pow x 3))) (/ (sqrt -1) (sqrt -1/4)))) (* (sqrt (/ 1 (* p x))) (* (sqrt -1) (sqrt -1/4))))))))
(.f64 x (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 p (.f64 p p)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (fma.f64 (sqrt.f64 (/.f64 p (.f64 x (.f64 x x)))) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (.f64 #s(literal 1/128 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))))))
(* 1/2 (sqrt (/ x p)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x p)))
(/ (+ (* 1/2 (sqrt (* p x))) (* 1/2 (sqrt (/ (pow p 3) x)))) p)
(.f64 (+.f64 (sqrt.f64 (.f64 x p)) (sqrt.f64 (/.f64 (.f64 p (.f64 p p)) x))) (/.f64 #s(literal 1/2 binary64) p))
(/ (+ (* 1/2 (sqrt (* p x))) (* (pow p 2) (+ (* -1/4 (sqrt (/ p (pow x 3)))) (* 1/2 (sqrt (/ 1 (* p x))))))) p)
(/.f64 (fma.f64 (.f64 p p) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p))) (.f64 (sqrt.f64 (/.f64 p (.f64 x (.f64 x x)))) #s(literal -1/4 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x p)))) p)
(/ (+ (* 1/2 (sqrt (* p x))) (* (pow p 2) (+ (* 1/2 (sqrt (/ 1 (* p x)))) (* (pow p 2) (+ (* -1/4 (sqrt (/ 1 (* (pow p 3) (pow x 3))))) (* 1/4 (sqrt (/ 1 (* p (pow x 5)))))))))) p)
(/.f64 (fma.f64 (.f64 p p) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p))) (.f64 (.f64 p p) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 p p) (.f64 p (.f64 x (.f64 x x)))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p (pow.f64 x #s(literal 5 binary64))))))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x p)))) p)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (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) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(fma.f64 x (fma.f64 x (/.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 p p))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/1024 (/ (pow x 3) (* (pow p 3) (pow (sqrt 1/2) 5)))) (* 1/8 (/ x (* p (sqrt 1/2)))))))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 p (.f64 p p)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 p p)))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (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 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3))))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (*.f64 x (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) p))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3))) (* 1/1024 (/ (pow x 3) (* p (pow (sqrt 1/2) 5))))) p)) (* -1/8 (/ x (sqrt 1/2)))) p)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 p (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) #s(literal -1/1024 binary64) (.f64 (*.f64 x x) (/.f64 #s(literal 1/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) p)) p))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(* 1/4 (/ x p))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(* 1/4 (/ x p))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(* 1/4 (/ x p))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
(/ (+ (* 1/4 x) (* 1/2 p)) p)
(/.f64 (fma.f64 #s(literal 1/2 binary64) p (*.f64 x #s(literal 1/4 binary64))) p)
(/ (+ (* 1/4 x) (* 1/2 p)) p)
(/.f64 (fma.f64 #s(literal 1/2 binary64) p (*.f64 x #s(literal 1/4 binary64))) p)
(/ (+ (* 1/4 x) (* 1/2 p)) p)
(/.f64 (fma.f64 #s(literal 1/2 binary64) p (*.f64 x #s(literal 1/4 binary64))) p)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ x p)
(/.f64 x p)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(/ p x)
(/.f64 p x)
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(* -1 (/ (pow p 2) x))
(*.f64 p (/.f64 p (neg.f64 x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (pow p 2))
(neg.f64 (*.f64 p p))
(* -1 (pow p 2))
(neg.f64 (*.f64 p p))
(* -1 (pow p 2))
(neg.f64 (*.f64 p p))
(* -1 (pow p 2))
(neg.f64 (*.f64 p p))
(* -1 (pow p 2))
(neg.f64 (*.f64 p p))
(* -1 (pow p 2))
(neg.f64 (*.f64 p p))
(* -1 (pow p 2))
(neg.f64 (*.f64 p p))
(* -1 (pow p 2))
(neg.f64 (*.f64 p p))
(* -1 (pow p 2))
(neg.f64 (*.f64 p p))
(* -1 (pow p 2))
(neg.f64 (*.f64 p p))
(* -1 (pow p 2))
(neg.f64 (*.f64 p p))
(* -1 (pow p 2))
(neg.f64 (*.f64 p p))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
(* -3 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal -3 binary64))) (.f64 x x))
p
(* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))
(fma.f64 (.f64 p (.f64 p #s(literal -3/2 binary64))) (/.f64 p (*.f64 x x)) p)
(* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))
(fma.f64 (.f64 p (.f64 p #s(literal -3/2 binary64))) (/.f64 p (*.f64 x x)) p)
(* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))
(fma.f64 (.f64 p (.f64 p #s(literal -3/2 binary64))) (/.f64 p (*.f64 x x)) p)
(* -3/2 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 p (.f64 p #s(literal -3/2 binary64)))) (.f64 x x))
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(fma.f64 (.f64 p (.f64 p #s(literal -3/2 binary64))) (/.f64 p (*.f64 x x)) p)
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(fma.f64 (.f64 p (.f64 p #s(literal -3/2 binary64))) (/.f64 p (*.f64 x x)) p)
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))
(fma.f64 (.f64 p (.f64 p #s(literal -3/2 binary64))) (/.f64 p (*.f64 x x)) p)
(* -3/2 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 p (.f64 p #s(literal -3/2 binary64)))) (.f64 x x))
(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))
(fma.f64 (.f64 p (.f64 p #s(literal -3/2 binary64))) (/.f64 p (*.f64 x x)) p)
(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))
(fma.f64 (.f64 p (.f64 p #s(literal -3/2 binary64))) (/.f64 p (*.f64 x x)) p)
(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))
(fma.f64 (.f64 p (.f64 p #s(literal -3/2 binary64))) (/.f64 p (*.f64 x x)) p)
(* -3/2 (/ (pow p 3) (pow x 2)))
(/.f64 (.f64 p (.f64 p (.f64 p #s(literal -3/2 binary64)))) (.f64 x x))
(/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))
(/.f64 (.f64 p (fma.f64 p (.f64 p #s(literal -3/2 binary64)) (.f64 x x))) (.f64 x x))
(/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))
(/.f64 (.f64 p (fma.f64 p (.f64 p #s(literal -3/2 binary64)) (.f64 x x))) (.f64 x x))
(/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))
(/.f64 (.f64 p (fma.f64 p (.f64 p #s(literal -3/2 binary64)) (.f64 x x))) (.f64 x x))
p
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(fma.f64 (.f64 p (.f64 p #s(literal -3/2 binary64))) (/.f64 p (*.f64 x x)) p)
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(fma.f64 (.f64 p (.f64 p #s(literal -3/2 binary64))) (/.f64 p (*.f64 x x)) p)
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(fma.f64 (.f64 p (.f64 p #s(literal -3/2 binary64))) (/.f64 p (*.f64 x x)) p)
p
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(fma.f64 (.f64 p (.f64 p #s(literal -3/2 binary64))) (/.f64 p (*.f64 x x)) p)
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(fma.f64 (.f64 p (.f64 p #s(literal -3/2 binary64))) (/.f64 p (*.f64 x x)) p)
(+ p (* -3/2 (/ (pow p 3) (pow x 2))))
(fma.f64 (.f64 p (.f64 p #s(literal -3/2 binary64))) (/.f64 p (*.f64 x x)) p)
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))
(/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))
(/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))
(/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
(* 3/2 (/ (pow p 3) (pow x 3)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal 3/2 binary64))) (.f64 x (*.f64 x x)))
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))
(/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))
(/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))
(/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
(* 3/2 (/ (pow p 3) (pow x 3)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal 3/2 binary64))) (.f64 x (*.f64 x x)))
(* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))
(/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
(* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))
(/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
(* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))
(/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
(* 3/2 (/ (pow p 3) (pow x 3)))
(/.f64 (.f64 p (.f64 (.f64 p p) #s(literal 3/2 binary64))) (.f64 x (*.f64 x x)))
(/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))
(/.f64 (.f64 p (fma.f64 x (neg.f64 x) (.f64 (.f64 p p) #s(literal 3/2 binary64)))) (.f64 x (*.f64 x x)))
(/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))
(/.f64 (.f64 p (fma.f64 x (neg.f64 x) (.f64 (.f64 p p) #s(literal 3/2 binary64)))) (.f64 x (*.f64 x x)))
(/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))
(/.f64 (.f64 p (fma.f64 x (neg.f64 x) (.f64 (.f64 p p) #s(literal 3/2 binary64)))) (.f64 x (*.f64 x x)))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)
(/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
(/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)
(/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
(/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)
(/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))
(/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
(* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))
(/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
(* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))
(/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
(* -3 (pow p 4))
(.f64 #s(literal -3 binary64) (.f64 p (.f64 p (.f64 p p))))
(* -3 (pow p 4))
(.f64 #s(literal -3 binary64) (.f64 p (.f64 p (.f64 p p))))
(* -3 (pow p 4))
(.f64 #s(literal -3 binary64) (.f64 p (.f64 p (.f64 p p))))
(* -3 (pow p 4))
(.f64 #s(literal -3 binary64) (.f64 p (.f64 p (.f64 p p))))
(* -3 (pow p 4))
(.f64 #s(literal -3 binary64) (.f64 p (.f64 p (.f64 p p))))
(* -3 (pow p 4))
(.f64 #s(literal -3 binary64) (.f64 p (.f64 p (.f64 p p))))
(* -3 (pow p 4))
(.f64 #s(literal -3 binary64) (.f64 p (.f64 p (.f64 p p))))
(* -3 (pow p 4))
(.f64 #s(literal -3 binary64) (.f64 p (.f64 p (.f64 p p))))
(* -3 (pow p 4))
(.f64 #s(literal -3 binary64) (.f64 p (.f64 p (.f64 p p))))
(* -3 (pow p 4))
(.f64 #s(literal -3 binary64) (.f64 p (.f64 p (.f64 p p))))
(* -3 (pow p 4))
(.f64 #s(literal -3 binary64) (.f64 p (.f64 p (.f64 p p))))
(* -3 (pow p 4))
(.f64 #s(literal -3 binary64) (.f64 p (.f64 p (.f64 p p))))
(* -1 p)
(neg.f64 p)
(* -1 p)
(neg.f64 p)
(* -1 p)
(neg.f64 p)
(* -1 p)
(neg.f64 p)
(* -1 p)
(neg.f64 p)
(* -1 p)
(neg.f64 p)
(* -1 p)
(neg.f64 p)
(* -1 p)
(neg.f64 p)
(* -1 p)
(neg.f64 p)
(* -1 p)
(neg.f64 p)
(* -1 p)
(neg.f64 p)
(* -1 p)
(neg.f64 p)
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* p (pow x 2))
(.f64 x (.f64 x p))
(* -3 (pow p 2))
(.f64 (.f64 p p) #s(literal -3 binary64))
(* -3 (pow p 2))
(.f64 (.f64 p p) #s(literal -3 binary64))
(* -3 (pow p 2))
(.f64 (.f64 p p) #s(literal -3 binary64))
(* -3 (pow p 2))
(.f64 (.f64 p p) #s(literal -3 binary64))
(* -3 (pow p 2))
(.f64 (.f64 p p) #s(literal -3 binary64))
(* -3 (pow p 2))
(.f64 (.f64 p p) #s(literal -3 binary64))
(* -3 (pow p 2))
(.f64 (.f64 p p) #s(literal -3 binary64))
(* -3 (pow p 2))
(.f64 (.f64 p p) #s(literal -3 binary64))
(* -3 (pow p 2))
(.f64 (.f64 p p) #s(literal -3 binary64))
(* -3 (pow p 2))
(.f64 (.f64 p p) #s(literal -3 binary64))
(* -3 (pow p 2))
(.f64 (.f64 p p) #s(literal -3 binary64))
(* -3 (pow p 2))
(.f64 (.f64 p p) #s(literal -3 binary64))

eval160.0ms (1.5%)

Memory: 12.8MiB live, 240.5MiB allocated
Compiler: Compiled 23 857 to 2 601 computations (89.1% saved)

prune126.0ms (1.2%)

Memory

29.8MiB live, 228.9MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 205	2	1 207
Fresh	0	0	0
Picked	2	2	4
Done	0	4	4
Total	1 207	8	1 215

Accuracy

100.0%

Counts

1 215 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.7%	(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
	29.4%	(/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
✓	29.7%	(/.f64 (neg.f64 p) x)
✓	7.9%	(/.f64 p x)
	18.9%	(.f64 (.f64 p p) (/.f64 #s(literal 1 binary64) (*.f64 p (neg.f64 x))))
✓	50.7%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
✓	54.6%	(sqrt.f64 #s(literal 1/2 binary64))
✓	34.3%	#s(literal 1 binary64)

Compiler

Compiled 276 to 125 computations (54.7% saved)

regimes41.0ms (0.4%)

Memory

-24.0MiB live, 55.1MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

Calls

7 calls:

8.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
8.0ms	p
6.0ms	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 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))

Results

Accuracy	Segments	Branch
77.9%	1	`p`
82.6%	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))))`
77.9%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`

Compiler

Compiled 80 to 56 computations (30% saved)

regimes15.0ms (0.1%)

Memory

23.8MiB live, 23.8MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Results

Accuracy	Segments	Branch
100.0%	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)))))))`
100.0%	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))))))`
100.0%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
100.0%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes16.0ms (0.2%)

Memory

-16.2MiB live, 21.6MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
3.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
3.0ms	(.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
100.0%	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)))))))`
100.0%	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))))))`
100.0%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
100.0%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes8.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 p) x)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1 binary64)

Calls

4 calls:

2.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
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	(+.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
99.3%	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)))))))`
99.3%	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))))))`
99.3%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.3%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes16.0ms (0.2%)

Memory

-13.9MiB live, 24.0MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs
(/.f64 p x)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1 binary64)

Calls

7 calls:

5.0ms	x
2.0ms	p
2.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
2.0ms	(/.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)))))))

Results

Accuracy	Segments	Branch
67.0%	2	`p`
67.0%	2	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
63.1%	3	`x`
76.8%	3	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
76.8%	3	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
76.8%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
76.8%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 80 to 56 computations (30% saved)

regimes7.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1 binary64))

Outputs
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1 binary64)

Calls

4 calls:

2.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
2.0ms	(/.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	(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
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 67 to 47 computations (29.9% saved)

regimes13.0ms (0.1%)

Memory

-23.2MiB live, 18.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

7 calls:

5.0ms	x
1.0ms	p
1.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
1.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
1.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))

Results

Accuracy	Segments	Branch
34.3%	1	`x`
34.3%	1	`p`
34.3%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
34.3%	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)))))))`
34.3%	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))))))`
34.3%	1	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
34.3%	1	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 80 to 56 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999988	-7.467478990420993e-7

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3637756495554227e-7	1.0
0.0ms	-0.9999999999999988	-7.467478990420993e-7

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3637756495554227e-7	1.0
0.0ms	-0.9999999999999988	-7.467478990420993e-7

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3637756495554227e-7	1.0
0.0ms	-0.9999999999999988	-7.467478990420993e-7

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3637756495554227e-7	1.0
0.0ms	-1.0	-0.9999999999999988

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch11.0ms (0.1%)

Memory

23.0MiB live, 23.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.3637756495554227e-7	1.0

Samples

6.0ms

144×

valid

Compiler

Compiled 103 to 100 computations (2.9% saved)

Precisions

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

ival-add: 1.0ms (35.2% of total)

ival-mult: 1.0ms (35.2% of total)

ival-sqrt: 1.0ms (35.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify13.0ms (0.1%)

Memory

-18.1MiB live, 19.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	232
1	56	232
2	62	232
3	67	232
4	70	232
5	71	232

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)) (/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (.f64 x x)) #s(literal -1 binary64))) 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))))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (.f64 x x)) #s(literal -1 binary64))) x) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal 944473296573929/4722366482869645213696 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #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)) (/.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 944473296573929/4722366482869645213696 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #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)) (/.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 944473296573929/4722366482869645213696 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #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 binary64)) (/.f64 p x) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 944473296573929/4722366482869645213696 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal 8106479329266893/18014398509481984 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (.f64 x x)) #s(literal -1 binary64))) 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))))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (.f64 x x)) #s(literal -1 binary64))) x) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #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)) (/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (.f64 x x)) #s(literal -1 binary64))) x) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal 944473296573929/4722366482869645213696 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 (.f64 p (fma.f64 (.f64 p p) (/.f64 #s(literal 3/2 binary64) (.f64 x x)) #s(literal -1 binary64))) x) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (*.f64 x x)))) #s(literal 944473296573929/4722366482869645213696 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #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)) (/.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 944473296573929/4722366482869645213696 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 p x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal 944473296573929/4722366482869645213696 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #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)) (/.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 944473296573929/4722366482869645213696 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 p x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal 944473296573929/4722366482869645213696 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #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 binary64)) (/.f64 p x) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 944473296573929/4722366482869645213696 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p x) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal 944473296573929/4722366482869645213696 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal 8106479329266893/18014398509481984 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (*.f64 x x)))) #s(literal 8106479329266893/18014398509481984 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness841.0ms (8.1%)

Memory

14.6MiB live, 612.5MiB allocated

Rules

11 514×	`accelerator-lowering-fma.f32`
11 514×	`accelerator-lowering-fma.f64`
9 590×	`accelerator-lowering-fma.f32`
9 590×	`accelerator-lowering-fma.f64`
7 856×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	2482
1	1325	2377
2	4606	2304
0	8075	2141
0	224	2253
1	583	2215
2	1815	2133
3	6059	2130
0	8092	2067
0	29	147
1	143	124
2	1107	107
0	8774	105
0	26	141
1	126	110
2	970	101
0	8425	99

Stop Event

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

Compiler

Compiled 369 to 160 computations (56.6% saved)

preprocess57.0ms (0.5%)

Memory: 11.9MiB live, 125.2MiB allocated
Compiler: Compiled 634 to 186 computations (70.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze829.0ms (7.9%)

sample2.4s (22.7%)

preprocess63.0ms (0.6%)

explain272.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize61.0ms (0.6%)

series20.0ms (0.2%)

rewrite345.0ms (3.3%)

simplify414.0ms (4%)

eval86.0ms (0.8%)

prune67.0ms (0.6%)

simplify307.0ms (2.9%)

localize128.0ms (1.2%)

series26.0ms (0.3%)

rewrite391.0ms (3.7%)

simplify323.0ms (3.1%)

eval267.0ms (2.6%)

prune267.0ms (2.6%)

simplify400.0ms (3.8%)

localize98.0ms (0.9%)

series23.0ms (0.2%)

rewrite405.0ms (3.9%)

simplify416.0ms (4%)

eval161.0ms (1.5%)

prune111.0ms (1.1%)

simplify489.0ms (4.7%)

localize79.0ms (0.8%)

series24.0ms (0.2%)

rewrite316.0ms (3%)

simplify345.0ms (3.3%)

eval160.0ms (1.5%)

prune126.0ms (1.2%)

regimes41.0ms (0.4%)

regimes15.0ms (0.1%)

regimes16.0ms (0.2%)

regimes8.0ms (0.1%)

regimes16.0ms (0.2%)

regimes7.0ms (0.1%)

regimes13.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch11.0ms (0.1%)

simplify13.0ms (0.1%)

soundness841.0ms (8.1%)

preprocess57.0ms (0.5%)

end0.0ms (0%)

Profiling