Metrics for Given's Rotation SVD example

analyze677.0ms (8.3%)

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 28 to 20 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 482.0ms

ival-add: 172.0ms (35.7% of total)

ival-mult: 122.0ms (25.3% of total)

ival-sqrt: 98.0ms (20.3% of total)

ival-fabs: 29.0ms (6% of total)

ival-<: 24.0ms (5% of total)

ival-div: 21.0ms (4.4% of total)

backward-pass: 7.0ms (1.5% of total)

const: 6.0ms (1.2% of total)

ival-and: 3.0ms (0.6% of total)

sample2.0s (25%)

Results

1.4s	8058×	0	valid
40.0ms	157×	1	valid
57.0ms	41×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult: 382.0ms (31.9% of total)

ival-sqrt: 252.0ms (21.1% of total)

ival-add: 233.0ms (19.5% of total)

ival-<: 113.0ms (9.4% of total)

ival-div: 85.0ms (7.1% of total)

ival-fabs: 69.0ms (5.8% of total)

backward-pass: 32.0ms (2.7% of total)

const: 21.0ms (1.8% of total)

ival-and: 10.0ms (0.8% of total)

Bogosity

preprocess194.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

779×	`fma-define`
424×	`fma-neg`
127×	`distribute-lft-neg-in`
109×	`unsub-neg`
99×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	458
1	116	442
2	225	422
3	463	414
4	812	414
5	1330	414
6	1995	414
7	2498	414
8	2755	414
9	3060	414
10	3178	414
11	3242	414
12	3248	414
13	3249	414

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs p)

explain619.0ms (7.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
50	-	0	-	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`
37	-	0	-	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
27	-	3	(1.1748104474004881e-244 -8.656017551105179e-90)	`(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	-	0	-	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
0	-	0	-	`x`
0	-	0	-	`#s(literal 1/2 binary64)`
0	-	0	-	`(*.f64 #s(literal 4 binary64) p)`
0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
0	-	0	-	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`
0	-	0	-	`p`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`#s(literal 1 binary64)`
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))))))`

Results

283.0ms	388×	0	valid
116.0ms	74×	1	valid
122.0ms	50×	2	valid

Compiler

Compiled 213 to 126 computations (40.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 368.0ms

ival-mult: 111.0ms (30.1% of total)

ival-add: 107.0ms (29.1% of total)

backward-pass: 91.0ms (24.7% of total)

ival-sqrt: 32.0ms (8.7% of total)

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

const: 5.0ms (1.4% of total)

eval1.0ms (0%)

Compiler: Compiled 49 to 33 computations (32.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.0%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 p p))))))))
▶	78.0%	(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)))))))

Status

Accuracy

Program

▶

78.0%

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

▶

78.0%

(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)))))))

Compiler

Compiled 37 to 27 computations (27% saved)

localize471.0ms (5.8%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.7%	(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))))
✓	91.2%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 p p))))))))
✓	87.2%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 p p)))))))
✓	81.8%	(sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))))
✓	99.7%	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
✓	91.2%	(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)))))))
✓	87.2%	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
✓	81.8%	(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))

Results

279.0ms	194×	0	valid
71.0ms	37×	1	valid
51.0ms	25×	2	valid

Compiler

Compiled 181 to 99 computations (45.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-mult: 82.0ms (38.4% of total)

ival-sqrt: 45.0ms (21.1% of total)

ival-fma: 23.0ms (10.8% of total)

ival-div: 21.0ms (9.8% of total)

backward-pass: 20.0ms (9.4% of total)

ival-add: 19.0ms (8.9% of total)

const: 4.0ms (1.9% of total)

series48.0ms (0.6%)

Counts

8 → 192

Calls

Call 1

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

Outputs
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) x)))>
#<alt (+.f64 x (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 x (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) p)>
#<alt (.f64 p (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))>
#<alt (.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))>
#<alt (.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -2 binary64) p)>
#<alt (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 2 binary64) p)>
#<alt (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) p)) (.f64 #s(literal 2 binary64) p))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) p) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) p) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))>
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#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -20 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x)) p)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x))) p)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)))) p)>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 x p))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) p))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) p))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x)))) p))>

Calls

48 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
2.0ms	x	@	-inf	(sqrt (+ 1/2 (* 1/2 (/ x (sqrt (+ (* x x) (* 4 (* p p))))))))
2.0ms	x	@	0	(+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))
2.0ms	x	@	inf	(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
1.0ms	x	@	-inf	(+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))

rewrite298.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

981×	`log1p-expm1-u`
981×	`expm1-log1p-u`
290×	`fma-neg`
141×	`add-exp-log`
141×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	376
1	455	244
2	4431	244

Stop Event

1×	node limit

Counts

8 → 277

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64))))
(.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64)))) (sqrt.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 x (.f64 p #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (.f64 p #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (.f64 p #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 p #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(pow.f64 (pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))
(fabs.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(log.f64 (exp.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))
(hypot.f64 x (*.f64 p #s(literal 2 binary64)))
(hypot.f64 (*.f64 p #s(literal 2 binary64)) x)
(log1p.f64 (expm1.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))
(exp.f64 (log.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))
(.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))
(exp.f64 (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(exp.f64 (.f64 (log1p.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))) (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (cbrt.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (fma.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))))
(.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fma.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
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(cbrt.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) #s(literal -1 binary64))

simplify232.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

624×	`fma-define`
512×	`associate-r`
437×	`associate-l`
304×	`*-commutative`
283×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	961	27722
1	2656	26624

Stop Event

1×	node limit

Counts

469 → 550

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) x)))
(+.f64 x (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 x (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) p)
(.f64 p (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))
(.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
(.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) p)
(.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
(*.f64 #s(literal 2 binary64) p)
(+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) p)) (.f64 #s(literal 2 binary64) p))
(+.f64 (.f64 #s(literal 2 binary64) p) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 (.f64 #s(literal 2 binary64) p) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -20 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x p))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x p)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) p)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) p)))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal -3/128 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 p (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x))
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#s(literal -1 binary64)
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#s(literal 1 binary64)
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(.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (hypot.f64 x (.f64 p #s(literal 2 binary64)))))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(neg.f64 (/.f64 (neg.f64 x) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) #s(literal -1 binary64))

Outputs
x
(+.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) x) x)
(+.f64 x (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x))))
(fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) x)
(+.f64 x (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 x (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) x))))
(fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) x)) x)
(*.f64 #s(literal 2 binary64) p)
(.f64 p (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))
(*.f64 p (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
(.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
(.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))))))
(.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
(.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
(.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64)))))))
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
(neg.f64 (.f64 p (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
(*.f64 p (neg.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
(neg.f64 (.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
(.f64 p (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
(neg.f64 (.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
(.f64 p (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) p)
(+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) p)) (.f64 #s(literal 2 binary64) p))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) p) (*.f64 #s(literal 2 binary64) p))
(fma.f64 #s(literal 2 binary64) p (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) p))
(+.f64 (.f64 #s(literal 2 binary64) p) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
(fma.f64 #s(literal 2 binary64) p (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) p))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) p)) (*.f64 #s(literal 2 binary64) p))
(+.f64 (.f64 #s(literal 2 binary64) p) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
(fma.f64 #s(literal 2 binary64) p (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (/.f64 #s(literal 1/64 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) p))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/64 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) p)) (*.f64 #s(literal 2 binary64) p))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
(.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))))))
(.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))) (neg.f64 x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) p))))
(fma.f64 x (fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 #s(literal 3/256 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) p))))
(fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64))) #s(literal 3/256 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
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#s(literal 1 binary64)
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#s(literal 1/2 binary64)
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(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64))))))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) x)
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 x (cbrt.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)))) (/.f64 x (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(/.f64 (/.f64 x (cbrt.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64))))) (/.f64 x (sqrt.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (hypot.f64 x (.f64 p #s(literal 2 binary64)))))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (hypot.f64 x (.f64 p #s(literal 2 binary64)))))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)))) (/.f64 x (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(/.f64 (/.f64 x (cbrt.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64))))
(pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 3 binary64))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(pow.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(pow.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(pow.f64 (/.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) x))
(neg.f64 (/.f64 x (neg.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(neg.f64 (/.f64 (neg.f64 x) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(sqrt.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(log.f64 (exp.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(cbrt.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(expm1.f64 (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(exp.f64 (log.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(exp.f64 (.f64 (log.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 1 binary64) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 0 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) #s(literal -1 binary64))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))) #s(literal -1 binary64))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))) #s(literal -1 binary64))

eval227.0ms (2.8%)

Compiler: Compiled 15772 to 12663 computations (19.7% saved)

prune106.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	543	7	550
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	545	7	552

Accuracy

100.0%

Counts

552 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.9%	(/.f64 p (neg.f64 x))
	48.2%	(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
▶	77.6%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))
▶	48.2%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
▶	37.3%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
▶	52.8%	(sqrt.f64 #s(literal 1/2 binary64))
	23.1%	(neg.f64 (/.f64 (+.f64 p (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))) x))

Compiler

Compiled 148 to 120 computations (18.9% saved)

localize154.0ms (1.9%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	95.5%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
✓	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
✓	99.7%	(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
✓	99.6%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))

Results

81.0ms	187×	0	valid
29.0ms	69×	0	invalid

Compiler

Compiled 104 to 68 computations (34.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 20.0ms (25.6% of total)

ival-hypot: 20.0ms (25.6% of total)

ival-sqrt: 13.0ms (16.6% of total)

ival-div: 12.0ms (15.4% of total)

ival-add: 6.0ms (7.7% of total)

const: 3.0ms (3.8% of total)

backward-pass: 2.0ms (2.6% of total)

ival-neg: 1.0ms (1.3% of total)

series23.0ms (0.3%)

Counts

4 → 96

Calls

Call 1

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

Outputs
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal -3/128 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 p (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 p (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (.f64 p (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) x))>
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#<alt (sqrt.f64 #s(literal 2 binary64))>
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#<alt #s(literal 1 binary64)>
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#<alt #s(literal 1 binary64)>
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#<alt (sqrt.f64 #s(literal 1/2 binary64))>
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#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x p)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))))))>
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#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x p)))>
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#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
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#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 p (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))))) p)) (.f64 #s(literal -1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))>

Calls

24 calls:

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

rewrite141.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

969×	`log1p-expm1-u`
675×	`expm1-log1p-u`
562×	`prod-diff`
134×	`add-exp-log`
134×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	139
1	311	135
2	4100	135

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))
(.f64 x (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 #s(literal 2 binary64) p))))
(.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))))
(.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)))) (/.f64 x (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) (/.f64 x (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(neg.f64 (/.f64 (neg.f64 x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(sqrt.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(cbrt.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(log1p.f64 (expm1.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(exp.f64 (log.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(exp.f64 (.f64 (log.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) (-.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))
(exp.f64 (.f64 (log1p.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) (cbrt.f64 (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 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 x p)))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/8 binary64))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x p))))))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 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))
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(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)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

simplify193.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

518×	`fma-define`
444×	`*-commutative`
405×	`associate-r`
338×	`associate-l`
257×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	756	13389
1	2094	12637
2	7147	12605

Stop Event

1×	node limit

Counts

198 → 343

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal -3/128 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
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(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))
(.f64 x (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 #s(literal 2 binary64) p))))
(.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))))
(.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)))) (/.f64 x (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) (/.f64 x (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(neg.f64 (/.f64 (neg.f64 x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(sqrt.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(cbrt.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(log1p.f64 (expm1.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(exp.f64 (log.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(exp.f64 (.f64 (log.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) (-.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))
(exp.f64 (.f64 (log1p.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) (cbrt.f64 (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 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 x p)))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/8 binary64))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x p))))))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 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))
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(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)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

Outputs
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) 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)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (pow.f64 p #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) p))))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64))) (.f64 x #s(literal -1/32 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal -3/128 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal -3/128 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (pow.f64 p #s(literal 3 binary64)))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -3/128 binary64)) (pow.f64 p #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
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(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))))
(.f64 (fabs.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))))) (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))))
(.f64 (fabs.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))))) (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) (-.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) (+.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 1 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 1 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) #s(literal 3 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(exp.f64 (.f64 (log1p.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) (cbrt.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)))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 x p)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/8 binary64))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x p))))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 2 binary64))) (.f64 (/.f64 x p) #s(literal 1/8 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 2 binary64)) (+.f64 (.f64 (/.f64 x p) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 2 binary64)) (fma.f64 (/.f64 x p) #s(literal 1/8 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 1/2 binary64))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #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 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 3/2 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))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(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)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))

eval147.0ms (1.8%)

Compiler: Compiled 10794 to 8777 computations (18.7% saved)

prune51.0ms (0.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	342	1	343
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	343	7	350

Accuracy

100.0%

Counts

350 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.9%	(/.f64 p (neg.f64 x))
▶	48.2%	(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
▶	48.2%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x p)))))
✓	48.2%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
✓	37.3%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
✓	52.8%	(sqrt.f64 #s(literal 1/2 binary64))
▶	23.1%	(neg.f64 (/.f64 (+.f64 p (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))) x))

Compiler

Compiled 72 to 59 computations (18.1% saved)

localize245.0ms (3%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))
✓	100.0%	(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
✓	99.7%	(/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)
✓	99.6%	(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
✓	100.0%	(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
✓	99.8%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x p)))))
✓	95.5%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p))))
✓	99.9%	(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))
✓	99.8%	(*.f64 p (pow.f64 x #s(literal 2 binary64)))
✓	98.9%	(/.f64 (+.f64 p (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))) x)
✓	79.0%	(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p (pow.f64 x #s(literal 2 binary64))))

Results

137.0ms	187×	0	valid
48.0ms	69×	0	invalid

Compiler

Compiled 174 to 122 computations (29.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-pow: 50.0ms (33.6% of total)

ival-mult: 44.0ms (29.6% of total)

ival-div: 18.0ms (12.1% of total)

ival-sqrt: 17.0ms (11.4% of total)

ival-add: 10.0ms (6.7% of total)

const: 5.0ms (3.4% of total)

backward-pass: 4.0ms (2.7% of total)

ival-neg: 1.0ms (0.7% of total)

series47.0ms (0.6%)

Counts

11 → 123

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 p (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (*.f64 p (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p))))>
#<alt (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x p)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))>

Outputs
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 p x)>
#<alt (.f64 p (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 p (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 p (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 p x)>
#<alt (/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 p x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 x (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal 1/128 binary64) (/.f64 x (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt (*.f64 (sqrt.f64 (/.f64 x p)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 x p)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 x p)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (.f64 p x)) (sqrt.f64 #s(literal 1/2 binary64)))) p)>
#<alt (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 p x)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) p)>
#<alt (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 p x)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p (pow.f64 x #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))))))))) p)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 x p))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) x) (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) p))) p)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) p))) p)) (*.f64 #s(literal -1/4 binary64) x)) p)))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/128 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 x p)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 x p)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 x p)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) x))) (.f64 (sqrt.f64 (*.f64 p x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) p)>
#<alt (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 p x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))))))) p)>
#<alt (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 p x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x)))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p (pow.f64 x #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))))))))) p)>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/128 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) p))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/128 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) p))) p)) (.f64 #s(literal -1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))>
#<alt (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))>
#<alt (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) p)>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) p)>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) p)>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>

Calls

60 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(/ (* x (sqrt 1/2)) p)
3.0ms	x	@	inf	(* (sqrt 1/2) (sqrt (+ 1 (* 1/2 (/ x p)))))
2.0ms	x	@	inf	(sqrt (+ 1 (* 1/2 (/ x p))))
1.0ms	x	@	-inf	(sqrt (+ 1 (* 1/2 (/ x p))))
1.0ms	p	@	0	(/ (* (pow p 4) -12) (* p (pow x 2)))

rewrite235.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`log1p-expm1-u`
224×	`expm1-log1p-u`
215×	`add-exp-log`
215×	`add-log-exp`
215×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	327
1	491	293
2	7376	293

Stop Event

1×	node limit

Counts

11 → 307

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (.f64 p (pow.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 p (pow.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal -12 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 p (pow.f64 x #s(literal 2 binary64))))))
(.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (pow.f64 p #s(literal 8 binary64))) (.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) (/.f64 #s(literal -12 binary64) (*.f64 p (pow.f64 x #s(literal 2 binary64))))))
(.f64 (.f64 p (cbrt.f64 (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 (*.f64 p (cbrt.f64 (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 p (cbrt.f64 (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 p (cbrt.f64 (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 144 binary64))) (/.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 144 binary64))) (.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 p (pow.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) x) (/.f64 (sqrt.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) x))
(.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal -12 binary64))) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal -12 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal -12 binary64))) (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal -12 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 p (pow.f64 x #s(literal 2 binary64))))))
(.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 12 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 p (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) p) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))
(.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 #s(literal -12 binary64) (*.f64 p (pow.f64 x #s(literal 2 binary64))))))
(.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal -12 binary64) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 p #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -12 binary64) p))
(*.f64 (/.f64 #s(literal -12 binary64) p) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -12 binary64) (.f64 p (pow.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (.f64 p (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal -12 binary64) (cbrt.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x (sqrt.f64 p))) (/.f64 #s(literal -12 binary64) (*.f64 x (sqrt.f64 p))))
(.f64 (/.f64 #s(literal -12 binary64) (.f64 x (sqrt.f64 p))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 x (sqrt.f64 p))))
(.f64 (/.f64 #s(literal -12 binary64) (pow.f64 (cbrt.f64 (.f64 p (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (cbrt.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 p (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (cbrt.f64 (.f64 p (pow.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 p))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x (sqrt.f64 p))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 144 binary64))) p) (/.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (pow.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 144 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) p))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 144 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 144 binary64))) (pow.f64 (cbrt.f64 (.f64 p (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (.f64 p (cbrt.f64 (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 144 binary64))) (.f64 x (sqrt.f64 p))) (/.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (*.f64 x (sqrt.f64 p))))
(.f64 (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal -12 binary64))) p) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal -12 binary64))) (pow.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal -12 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal -12 binary64))) p))
(.f64 (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal -12 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal -12 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal -12 binary64))) (pow.f64 (cbrt.f64 (.f64 p (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal -12 binary64))) (cbrt.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 p (cbrt.f64 (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(neg.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(neg.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 12 binary64)) (.f64 p (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
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(exp.f64 (log.f64 (fma.f64 (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))) (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 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))))
(fma.f64 (sqrt.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))) (sqrt.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 p (.f64 (.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 p x) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))) p)
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 p))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x))) (neg.f64 p))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/4 binary64)) (neg.f64 p))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) p)
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 p #s(literal 2 binary64)))) (cbrt.f64 p))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 p)) (sqrt.f64 p))
(pow.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))))
(exp.f64 (log.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))

simplify156.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

528×	`associate-r`
479×	`associate-l`
477×	`*-commutative`
376×	`associate-*r/`
367×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	962	18434
1	2360	17624

Stop Event

1×	node limit

Counts

430 → 511

Calls

Call 1

Inputs
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 p x)
(.f64 p (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(.f64 p (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(.f64 p (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 p x)
(/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 p x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 x (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal 1/128 binary64) (/.f64 x (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
(*.f64 (sqrt.f64 (/.f64 x p)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (sqrt.f64 #s(literal 1/2 binary64))))))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 x p)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))))
(*.f64 (sqrt.f64 (/.f64 x p)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (.f64 p x)) (sqrt.f64 #s(literal 1/2 binary64)))) p)
(/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 p x)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) p)
(/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 p x)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p (pow.f64 x #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))))))))) p)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 x p))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))
#s(literal 1 binary64)
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))) (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 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))))
(fma.f64 (sqrt.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))) (sqrt.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 p (.f64 (.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 p x) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))) p)
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 p))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x))) (neg.f64 p))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/4 binary64)) (neg.f64 p))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) p)
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 p #s(literal 2 binary64)))) (cbrt.f64 p))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 p)) (sqrt.f64 p))
(pow.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))))
(exp.f64 (log.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 p x)
(.f64 p (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 p (fma.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))
(.f64 p (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 p (fma.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))
(.f64 p (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 p (fma.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
(.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 p #s(literal 2 binary64)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 p #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 p #s(literal 2 binary64)))) (/.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 p #s(literal 2 binary64)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 p #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 p #s(literal 2 binary64)))) (/.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 p #s(literal 2 binary64)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 p #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 p #s(literal 2 binary64)))) (/.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))
(neg.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 p #s(literal 2 binary64)))))))
(.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x (pow.f64 p #s(literal 2 binary64))))) (neg.f64 (pow.f64 p #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))
(neg.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 p #s(literal 2 binary64)))))))
(.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x (pow.f64 p #s(literal 2 binary64))))) (neg.f64 (pow.f64 p #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))
(neg.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 p #s(literal 2 binary64)))))))
(.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x (pow.f64 p #s(literal 2 binary64))))) (neg.f64 (pow.f64 p #s(literal 3 binary64))))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 p (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal -3/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 p (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal -3/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 p (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal -3/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 p x)
(/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 p (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -3/2 binary64))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -3/2 binary64) p) x)
(/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 p (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -3/2 binary64))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -3/2 binary64) p) x)
(/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 p (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -3/2 binary64))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -3/2 binary64) p) x)
(/.f64 p x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) p (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64))) x))
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 2 binary64))) p) (neg.f64 x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) p (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64))) x))
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 2 binary64))) p) (neg.f64 x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) p (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64))) x))
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 2 binary64))) p) (neg.f64 x))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
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(fma.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 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 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 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 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))
(+.f64 (.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))) (sqrt.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p)))))
(/.f64 #s(literal 1 binary64) (/.f64 p (.f64 (.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p)))
(/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 p x) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))) p)
(.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 p))
(.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x))) (neg.f64 p))
(.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p)))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/4 binary64)) (neg.f64 p))
(.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p)))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) p)
(.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p)))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 p #s(literal 2 binary64)))) (cbrt.f64 p))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (cbrt.f64 p) (cbrt.f64 (pow.f64 p #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 p)) (/.f64 #s(literal 1/4 binary64) (cbrt.f64 (pow.f64 p #s(literal 2 binary64)))))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 p)) (sqrt.f64 p))
(.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p)))
(pow.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p)))
(pow.f64 (cbrt.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p)))
(pow.f64 (pow.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p)))
(pow.f64 (sqrt.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p)))
(sqrt.f64 (pow.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 2 binary64)))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/4 binary64)))
(.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))))))
(.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))))
(expm1.f64 (log1p.f64 (.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))))
(.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p)))
(exp.f64 (log.f64 (.f64 x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))))
(.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p)))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) p)))

eval164.0ms (2%)

Compiler: Compiled 10918 to 8565 computations (21.6% saved)

prune76.0ms (0.9%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	509	2	511
Fresh	0	0	0
Picked	2	1	3
Done	0	4	4
Total	511	7	518

Accuracy

100.0%

Counts

518 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 p (.f64 x #s(literal 1/4 binary64)))) p)
✓	28.9%	(/.f64 p (neg.f64 x))
✓	48.2%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x p)))))
✓	48.2%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
✓	37.3%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
✓	52.8%	(sqrt.f64 #s(literal 1/2 binary64))
▶	28.7%	(neg.f64 (+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))

Compiler

Compiled 65 to 51 computations (21.5% saved)

localize102.0ms (1.3%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 p (.f64 x #s(literal 1/4 binary64)))) p)
✓	99.3%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 p (.f64 x #s(literal 1/4 binary64))))
✓	99.8%	(*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
✓	99.7%	(pow.f64 (/.f64 p x) #s(literal 3 binary64))
✓	97.0%	(+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))

Results

77.0ms

256×

valid

Compiler

Compiled 77 to 45 computations (41.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-pow: 23.0ms (40.5% of total)

ival-mult: 14.0ms (24.7% of total)

ival-add: 6.0ms (10.6% of total)

ival-sqrt: 5.0ms (8.8% of total)

ival-div: 4.0ms (7% of total)

const: 2.0ms (3.5% of total)

backward-pass: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

series18.0ms (0.2%)

Counts

5 → 120

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+ (/ p x) (* -3/2 (pow (/ p x) 3)))
1.0ms	p	@	0	(+ (/ p x) (* -3/2 (pow (/ p x) 3)))
1.0ms	p	@	inf	(+ (/ p x) (* -3/2 (pow (/ p x) 3)))
1.0ms	p	@	-inf	(/ (* (sqrt 1/2) (+ p (* x 1/4))) p)
0.0ms	p	@	-inf	(* -3/2 (pow (/ p x) 3))

rewrite159.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

973×	`log1p-expm1-u`
973×	`expm1-log1p-u`
625×	`fma-define`
288×	`fma-neg`
129×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	154
1	276	142
2	4236	142

Stop Event

1×	node limit

Counts

5 → 219

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) (-.f64 (/.f64 p x) (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))) (/.f64 (.f64 (pow.f64 (/.f64 p x) #s(literal 6 binary64)) #s(literal 9/4 binary64)) (-.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))))
(*.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x))) (sqrt.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x))))
(.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -27/8 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (/.f64 p x)) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 p x) #s(literal 6 binary64)) #s(literal 9/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (-.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (/.f64 p x)) (pow.f64 (/.f64 p x) #s(literal 2 binary64))) (fma.f64 (pow.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -27/8 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 p x) (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 p x) #s(literal 6 binary64)) #s(literal 9/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -27/8 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (-.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (/.f64 p x)) (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -27/8 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 6 binary64)) #s(literal 9/4 binary64) (-.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) (.f64 (/.f64 p x) (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 p x) #s(literal 6 binary64)) #s(literal 9/4 binary64))) (-.f64 (/.f64 p x) (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -27/8 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (-.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (/.f64 p x)) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 p x) #s(literal 6 binary64)) #s(literal 9/4 binary64)))) (neg.f64 (-.f64 (/.f64 p x) (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 6 binary64)) #s(literal 9/4 binary64) (neg.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (/.f64 p x)))
(pow.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x))))
(exp.f64 (log.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x))) #s(literal 1 binary64)))
(fma.f64 p (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))
(fma.f64 (/.f64 p x) #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))
(fma.f64 (/.f64 p x) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -3/2 binary64)) (/.f64 p x))
(fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x))
(fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal -3/2 binary64) (/.f64 p x))
(fma.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) #s(literal 1 binary64) (/.f64 p x))
(fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) (*.f64 (/.f64 p x) #s(literal -3/2 binary64)) (/.f64 p x))
(fma.f64 #s(literal 1 binary64) (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (/.f64 p x))
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(fma.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 p x)) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))
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(fma.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 p #s(literal 2 binary64)))) (cbrt.f64 p) (.f64 x (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 p)) (sqrt.f64 p) (.f64 x (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (.f64 p (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (.f64 p (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 x (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (.f64 x #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 x #s(literal 1/4 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 p (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/4 binary64) (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) x (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))
(*.f64 (fma.f64 x #s(literal 1/4 binary64) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 (fma.f64 x #s(literal 1/4 binary64) p) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) p)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) (/.f64 #s(literal 1 binary64) p))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)))
(.f64 (cbrt.f64 #s(literal 1/2 binary64)) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))))
(.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) p))
(.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 2 binary64)))) (.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) (/.f64 #s(literal 1 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)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) p))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) (.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) (/.f64 #s(literal 1 binary64) p)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (fma.f64 x #s(literal 1/4 binary64) p))) (/.f64 #s(literal 1 binary64) (neg.f64 p)))
(.f64 (/.f64 #s(literal 1 binary64) p) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 p #s(literal 2 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) (cbrt.f64 p)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 p)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) (sqrt.f64 p)))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) (sqrt.f64 p)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 p)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 p #s(literal 2 binary64)))) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) (cbrt.f64 p)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 p)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) (sqrt.f64 p)))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) (cbrt.f64 (pow.f64 p #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 p)))
(.f64 (/.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) p))
(.f64 (/.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 p #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))))
(.f64 (/.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 2 binary64)))) (sqrt.f64 p)) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) (sqrt.f64 p)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) p))
(.f64 (/.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) (cbrt.f64 (pow.f64 p #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) (cbrt.f64 p)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 p (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 x #s(literal 1/4 binary64) p)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) (neg.f64 p)))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (fma.f64 x #s(literal 1/4 binary64) p))) p))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))) #s(literal 1 binary64)))

simplify166.0ms (2%)

Algorithm

1×	egg-herbie

Rules

483×	`distribute-lft-neg-in`
453×	`distribute-rgt-neg-in`
435×	`cancel-sign-sub-inv`
365×	`associate-r`
308×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	552	14034
1	1288	12443
2	4286	12297

Stop Event

1×	node limit

Counts

339 → 303

Calls

Call 1

Inputs
(/.f64 p x)
(.f64 p (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(.f64 p (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(.f64 p (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 p x)
(/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 p x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))
(*.f64 (fma.f64 x #s(literal 1/4 binary64) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(.f64 (fma.f64 x #s(literal 1/4 binary64) p) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) p)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) (/.f64 #s(literal 1 binary64) p))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)))
(.f64 (cbrt.f64 #s(literal 1/2 binary64)) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))))
(.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) p))
(.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 2 binary64)))) (.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) (/.f64 #s(literal 1 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)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) p))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) (.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) (/.f64 #s(literal 1 binary64) p)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (fma.f64 x #s(literal 1/4 binary64) p))) (/.f64 #s(literal 1 binary64) (neg.f64 p)))
(.f64 (/.f64 #s(literal 1 binary64) p) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 p #s(literal 2 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) (cbrt.f64 p)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 p)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) (sqrt.f64 p)))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) (sqrt.f64 p)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 p)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 p #s(literal 2 binary64)))) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) (cbrt.f64 p)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 p)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) (sqrt.f64 p)))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) (cbrt.f64 (pow.f64 p #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 p)))
(.f64 (/.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) p))
(.f64 (/.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 p #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))))
(.f64 (/.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 2 binary64)))) (sqrt.f64 p)) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) (sqrt.f64 p)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) p))
(.f64 (/.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) (cbrt.f64 (pow.f64 p #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) (cbrt.f64 p)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 p (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 x #s(literal 1/4 binary64) p)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) (neg.f64 p)))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (fma.f64 x #s(literal 1/4 binary64) p))) p))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))) #s(literal 1 binary64)))

Outputs
(/.f64 p x)
(.f64 p (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 p (fma.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x))
(.f64 p (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 p (fma.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x))
(.f64 p (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 p (fma.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
(.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64))) x) (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 p #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 p #s(literal 2 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64))) x) (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 p #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 p #s(literal 2 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64))) x) (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 p #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 p #s(literal 2 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))
(*.f64 (pow.f64 (neg.f64 p) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64))) x)))
(*.f64 (pow.f64 p #s(literal 3 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 p #s(literal 2 binary64))))))
(.f64 (pow.f64 p #s(literal 3 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x (pow.f64 p #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))
(*.f64 (pow.f64 (neg.f64 p) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64))) x)))
(*.f64 (pow.f64 p #s(literal 3 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 p #s(literal 2 binary64))))))
(.f64 (pow.f64 p #s(literal 3 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x (pow.f64 p #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))
(*.f64 (pow.f64 (neg.f64 p) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64))) x)))
(*.f64 (pow.f64 p #s(literal 3 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 p #s(literal 2 binary64))))))
(.f64 (pow.f64 p #s(literal 3 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x (pow.f64 p #s(literal 2 binary64)))))))
(*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 p x)
(/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) p) x)
(/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) p) x)
(/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) p) x)
(/.f64 p x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))
(/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) p) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))
(/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) p) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))
(/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) p) x)
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (/.f64 p x) #s(literal 3 binary64))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (/.f64 p x) #s(literal 3 binary64))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (/.f64 p x) #s(literal 3 binary64))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (/.f64 p x) #s(literal 3 binary64))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (/.f64 p x) #s(literal 3 binary64))
(/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
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(.f64 (/.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 p #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 p #s(literal 2 binary64)))))
(.f64 (/.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 2 binary64)))) (sqrt.f64 p)) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) (sqrt.f64 p)))
(.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) p) #s(literal 2 binary64)))) (/.f64 (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) (sqrt.f64 p)) (sqrt.f64 p)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) p))
(/.f64 (fma.f64 p (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) p)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))
(.f64 (/.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) (cbrt.f64 (pow.f64 p #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p))) (cbrt.f64 p)))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 p #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) (cbrt.f64 p))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) (cbrt.f64 p)) (cbrt.f64 (pow.f64 p #s(literal 2 binary64)))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)) #s(literal 1 binary64))
(/.f64 (fma.f64 p (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) p)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))) #s(literal 3 binary64))
(/.f64 (fma.f64 p (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) p)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (fma.f64 p (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) p)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))) #s(literal 2 binary64))
(/.f64 (fma.f64 p (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) p)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))
(pow.f64 (/.f64 (/.f64 p (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 x #s(literal 1/4 binary64) p)) #s(literal -1 binary64))
(/.f64 (fma.f64 p (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) p)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) (neg.f64 p)))
(/.f64 (fma.f64 p (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) p)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (fma.f64 x #s(literal 1/4 binary64) p))) p))
(/.f64 (fma.f64 p (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) p)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)) #s(literal 2 binary64)))
(/.f64 (fma.f64 p (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) p)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)))
(/.f64 (fma.f64 p (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) p)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)))))
(/.f64 (fma.f64 p (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) p)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p)) #s(literal 3 binary64)))
(/.f64 (fma.f64 p (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) p)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) p)) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(/.f64 (fma.f64 p (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) p)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))))
(/.f64 (fma.f64 p (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) p)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))))
(/.f64 (fma.f64 p (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) p)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))) #s(literal 1 binary64)))
(/.f64 (fma.f64 p (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) p)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal 1/4 binary64) p) p))

eval75.0ms (0.9%)

Compiler: Compiled 5206 to 3401 computations (34.7% saved)

prune45.0ms (0.6%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	302	1	303
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	302	8	310

Accuracy

100.0%

Counts

310 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 p (.f64 x #s(literal 1/4 binary64)))) p)
	52.8%	(/.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) p)
✓	28.9%	(/.f64 p (neg.f64 x))
✓	48.2%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x p)))))
✓	48.2%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
✓	37.3%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
✓	52.8%	(sqrt.f64 #s(literal 1/2 binary64))
✓	28.7%	(neg.f64 (+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))

Compiler

Compiled 207 to 154 computations (25.6% saved)

regimes35.0ms (0.4%)

Counts

13 → 2

Calls

Call 1

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

Outputs

(neg.f64 (+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))

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

Calls

7 calls:

10.0ms	x
10.0ms	p
6.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
3.0ms	(/.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))))))

Results

Accuracy	Segments	Branch
83.4%	5	`p`
87.6%	4	`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))))`
81.8%	3	`(.f64 (.f64 #s(literal 4 binary64) p) p)`

Compiler

Compiled 80 to 56 computations (30% saved)

regimes24.0ms (0.3%)

Counts

9 → 6

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	p
10.0ms	x

Results

Accuracy	Segments	Branch
75.2%	6	`p`
71.8%	5	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

6 → 6

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
75.2%	6	`p`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

2 → 4

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	p
2.0ms	x

Results

Accuracy	Segments	Branch
63.6%	2	`x`
69.3%	4	`p`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 p (neg.f64 x))

Outputs
(/.f64 p (neg.f64 x))

Calls

2 calls:

0.0ms	x
0.0ms	p

Results

Accuracy	Segments	Branch
28.9%	1	`x`
28.9%	1	`p`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999988007	-3.184606320702571e-9

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch111.0ms (1.4%)

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.4984122355050976e-38	1.2988636828584075e-37
19.0ms	2.1841428729622135e-60	8.931845688670806e-57
20.0ms	7.794240257640844e-82	6.260392580020486e-80
24.0ms	3.4170330977768126e-130	1.4297523843105009e-127
24.0ms	5.965707073287179e-257	2.057881084560434e-255

Results

36.0ms	375×	0	valid
27.0ms	132×	1	valid
16.0ms	53×	2	valid

Compiler

Compiled 624 to 503 computations (19.4% saved)

Precisions

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

ival-mult: 21.0ms (37.3% of total)

ival-sqrt: 12.0ms (21.3% of total)

ival-add: 8.0ms (14.2% of total)

ival-div: 6.0ms (10.7% of total)

backward-pass: 6.0ms (10.7% of total)

const: 1.0ms (1.8% of total)

bsearch108.0ms (1.3%)

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.4984122355050976e-38	1.2988636828584075e-37
19.0ms	2.1841428729622135e-60	8.931845688670806e-57
18.0ms	7.794240257640844e-82	6.260392580020486e-80
23.0ms	3.4170330977768126e-130	1.4297523843105009e-127
26.0ms	5.965707073287179e-257	2.057881084560434e-255

Results

37.0ms	388×	0	valid
23.0ms	110×	1	valid
19.0ms	62×	2	valid

Compiler

Compiled 504 to 428 computations (15.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 21.0ms (38% of total)

ival-sqrt: 12.0ms (21.7% of total)

ival-add: 8.0ms (14.5% of total)

backward-pass: 7.0ms (12.7% of total)

ival-div: 6.0ms (10.9% of total)

const: 1.0ms (1.8% of total)

bsearch60.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.4984122355050976e-38	1.2988636828584075e-37
21.0ms	2.660897637201717e-68	8.402363234441659e-66
20.0ms	7.794240257640844e-82	6.260392580020486e-80

Results

19.0ms	214×	0	valid
19.0ms	96×	1	valid
5.0ms	10×	2	valid

Compiler

Compiled 264 to 218 computations (17.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 11.0ms (35.3% of total)

ival-sqrt: 6.0ms (19.3% of total)

ival-add: 6.0ms (19.3% of total)

ival-div: 3.0ms (9.6% of total)

backward-pass: 3.0ms (9.6% of total)

const: 1.0ms (3.2% of total)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative`
10×	`+-commutative`
7×	`sub-neg`
7×	`neg-sub0`
7×	`neg-mul-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	534
1	101	526
2	122	526
3	138	522
4	147	522
5	151	522

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)) (neg.f64 (+.f64 (/.f64 p x) (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))))
(if (<=.f64 p #s(literal 8520334198156009/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 548744862360233/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (if (<=.f64 p #s(literal 5606965969292389/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (neg.f64 (+.f64 (/.f64 p x) (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))) (if (<=.f64 p #s(literal 1015937062247571/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (if (<=.f64 p #s(literal 8620287417370625/191561942608236107294793378393788647952342390272950272 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(if (<=.f64 p #s(literal 2113178124542661/16905424996341287883274873117328531408603114433155888708094742688853564881815195503181352188405030012629580639784228117724235121904085937192017247310814066461068373887968162693399408565645646113696775453062758028932736905368049975642828700760545167247665234588727615946752 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 7121488880408357/97554642197374757230674913431036447054643691958280348464348654988292866838117675628759565720734124098744591597543956965482749239977758915821568 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (if (<=.f64 p #s(literal 4485572775433911/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 7463162001623895/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (if (<=.f64 p #s(literal 8620287417370625/191561942608236107294793378393788647952342390272950272 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(if (<=.f64 p #s(literal 3203980553881365/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 493255773416689/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (if (<=.f64 p #s(literal 1915619426082361/23945242826029513411849172299223580994042798784118784 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 p (neg.f64 x))

Outputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) (neg.f64 (+.f64 (/.f64 p x) (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))))
(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 (/.f64 p x) (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))) (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 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1/2 binary64)) (-.f64 (/.f64 p (neg.f64 x)) (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))) (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 p #s(literal 8520334198156009/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 548744862360233/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (if (<=.f64 p #s(literal 5606965969292389/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (neg.f64 (+.f64 (/.f64 p x) (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))) (if (<=.f64 p #s(literal 1015937062247571/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (if (<=.f64 p #s(literal 8620287417370625/191561942608236107294793378393788647952342390272950272 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(if (<=.f64 p #s(literal 8520334198156009/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 548744862360233/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 5606965969292389/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (neg.f64 (+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))) (if (<=.f64 p #s(literal 1015937062247571/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 8620287417370625/191561942608236107294793378393788647952342390272950272 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(if (<=.f64 p #s(literal 8520334198156009/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 548744862360233/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 5606965969292389/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (-.f64 (/.f64 p (neg.f64 x)) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))) (if (<=.f64 p #s(literal 1015937062247571/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 8620287417370625/191561942608236107294793378393788647952342390272950272 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(if (<=.f64 p #s(literal 2113178124542661/16905424996341287883274873117328531408603114433155888708094742688853564881815195503181352188405030012629580639784228117724235121904085937192017247310814066461068373887968162693399408565645646113696775453062758028932736905368049975642828700760545167247665234588727615946752 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 7121488880408357/97554642197374757230674913431036447054643691958280348464348654988292866838117675628759565720734124098744591597543956965482749239977758915821568 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (if (<=.f64 p #s(literal 4485572775433911/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 7463162001623895/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (if (<=.f64 p #s(literal 8620287417370625/191561942608236107294793378393788647952342390272950272 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(if (<=.f64 p #s(literal 2113178124542661/16905424996341287883274873117328531408603114433155888708094742688853564881815195503181352188405030012629580639784228117724235121904085937192017247310814066461068373887968162693399408565645646113696775453062758028932736905368049975642828700760545167247665234588727615946752 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 7121488880408357/97554642197374757230674913431036447054643691958280348464348654988292866838117675628759565720734124098744591597543956965482749239977758915821568 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 4485572775433911/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 7463162001623895/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 8620287417370625/191561942608236107294793378393788647952342390272950272 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(if (<=.f64 p #s(literal 3203980553881365/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 493255773416689/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (if (<=.f64 p #s(literal 1915619426082361/23945242826029513411849172299223580994042798784118784 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))))
(if (or (<=.f64 p #s(literal 3203980553881365/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (not (or (<=.f64 p #s(literal 493255773416689/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) (not (<=.f64 p #s(literal 1915619426082361/23945242826029513411849172299223580994042798784118784 binary64)))))) (/.f64 p (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))
(if (or (<=.f64 p #s(literal 3203980553881365/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (and (not (<=.f64 p #s(literal 493255773416689/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64))) (<=.f64 p #s(literal 1915619426082361/23945242826029513411849172299223580994042798784118784 binary64)))) (/.f64 p (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 p (neg.f64 x))

soundness595.0ms (7.3%)

Rules

779×	`fma-define`
624×	`fma-define`
528×	`associate-r`
512×	`associate-r`
479×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	961	27722
1	2656	26624
0	48	458
1	116	442
2	225	422
3	463	414
4	812	414
5	1330	414
6	1995	414
7	2498	414
8	2755	414
9	3060	414
10	3178	414
11	3242	414
12	3248	414
13	3249	414
0	962	18434
1	2360	17624

Stop Event

1×	fuel
1×	node limit
1×	saturated
1×	node limit

Compiler

Compiled 625 to 398 computations (36.3% saved)

preprocess57.0ms (0.7%)

Compiler: Compiled 460 to 288 computations (37.4% saved)

analyze677.0ms (8.3%)

sample2.0s (25%)

preprocess194.0ms (2.4%)

explain619.0ms (7.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize471.0ms (5.8%)

series48.0ms (0.6%)

rewrite298.0ms (3.7%)

simplify232.0ms (2.9%)

eval227.0ms (2.8%)

prune106.0ms (1.3%)

localize154.0ms (1.9%)

series23.0ms (0.3%)

rewrite141.0ms (1.7%)

simplify193.0ms (2.4%)

eval147.0ms (1.8%)

prune51.0ms (0.6%)

localize245.0ms (3%)

series47.0ms (0.6%)

rewrite235.0ms (2.9%)

simplify156.0ms (1.9%)

eval164.0ms (2%)

prune76.0ms (0.9%)

localize102.0ms (1.3%)

series18.0ms (0.2%)

rewrite159.0ms (2%)

simplify166.0ms (2%)

eval75.0ms (0.9%)

prune45.0ms (0.6%)

regimes35.0ms (0.4%)

regimes24.0ms (0.3%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes1.0ms (0%)

bsearch0.0ms (0%)

bsearch111.0ms (1.4%)

bsearch108.0ms (1.3%)

bsearch60.0ms (0.7%)

simplify13.0ms (0.2%)

soundness595.0ms (7.3%)

preprocess57.0ms (0.7%)

end0.0ms (0%)

Profiling