Metrics for Given's Rotation SVD example

analyze767.0ms (3.4%)

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: 406.0ms

Operation ival-add, time spent: 119.0ms, 29.0% of total-time

Operation ival-sqrt, time spent: 100.0ms, 25.0% of total-time

Operation ival-mult, time spent: 98.0ms, 24.0% of total-time

Operation ival-div, time spent: 26.0ms, 6.0% of total-time

Operation ival-<, time spent: 26.0ms, 6.0% of total-time

Operation ival-fabs, time spent: 23.0ms, 6.0% of total-time

Operation const, time spent: 10.0ms, 2.0% of total-time

Operation ival-and, time spent: 4.0ms, 1.0% of total-time

sample2.4s (10.8%)

Results

1.2s	6440×	256	valid
485.0ms	763×	2048	valid
266.0ms	501×	1024	valid
190.0ms	289×	4096	valid
89.0ms	262×	512	valid
0.0ms	1×	256	valid

Precisions

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

Operation ival-mult, time spent: 385.0ms, 31.0% of total-time

Operation ival-sqrt, time spent: 247.0ms, 20.0% of total-time

Operation ival-add, time spent: 224.0ms, 18.0% of total-time

Operation ival-<, time spent: 130.0ms, 10.0% of total-time

Operation ival-div, time spent: 116.0ms, 9.0% of total-time

Operation ival-fabs, time spent: 106.0ms, 8.0% of total-time

Operation const, time spent: 38.0ms, 3.0% of total-time

Operation ival-and, time spent: 17.0ms, 1.0% of total-time

Bogosity

preprocess561.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
58	-	0	-	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`
31	-	0	-	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
25	-	1	(6.668388767544275e-156 -10.129804449079185)	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
0	-	0	-	`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	-	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`

Iterations

Useful iterations: 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)

Compiler

Compiled 213 to 126 computations (40.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

Operation ival-mult, time spent: 93.0ms, 45.0% of total-time

Operation ival-sqrt, time spent: 39.0ms, 19.0% of total-time

Operation ival-add, time spent: 39.0ms, 19.0% of total-time

Operation ival-div, time spent: 26.0ms, 13.0% of total-time

Operation const, time spent: 7.0ms, 3.0% of total-time

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
▶	80.0%	(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 19 to 14 computations (26.3% saved)

localize183.0ms (0.8%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
✓	91.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
✓	89.0%	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
✓	78.9%	(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))

Compiler

Compiled 97 to 56 computations (42.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

Operation ival-mult, time spent: 49.0ms, 48.0% of total-time

Operation ival-sqrt, time spent: 19.0ms, 19.0% of total-time

Operation ival-add, time spent: 18.0ms, 18.0% of total-time

Operation ival-div, time spent: 13.0ms, 13.0% of total-time

Operation const, time spent: 3.0ms, 3.0% of total-time

series26.0ms (0.1%)

Counts

4 → 96

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 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))>

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

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))
3.0ms	x	@	-inf	(sqrt (* 1/2 (+ 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)))))
1.0ms	p	@	0	(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))

rewrite236.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`log1p-expm1-u`
802×	`expm1-log1p-u`
666×	`log-prod`
484×	`fma-define`
229×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	172
1	269	122
2	3576	118

Stop Event

1×	node limit

Counts

4 → 172

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

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

simplify184.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

388×	`fma-define`
384×	`associate-r`
361×	`*-commutative`
314×	`associate-l`
261×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	736	14172
1	1923	13430
2	6399	13223

Stop Event

1×	node limit

Counts

268 → 370

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

eval213.0ms (0.9%)

Compiler: Compiled 10386 to 8404 computations (19.1% saved)

prune71.0ms (0.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	359	11	370
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	360	11	371

Accuracy

99.7%

Counts

371 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.6%	(.f64 p (neg.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
▶	80.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (fma.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)) #s(literal 1 binary64)))))
▶	80.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)))))
	51.4%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 2 binary64) p)))))
▶	5.9%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
	15.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
	80.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))))
	80.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (log1p.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))))
	37.1%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
▶	55.4%	(sqrt.f64 #s(literal 1/2 binary64))
▶	25.5%	(neg.f64 (/.f64 (.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))

Compiler

Compiled 300 to 244 computations (18.7% saved)

localize1.2s (5.5%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))
✓	91.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)))))
✓	89.0%	(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
✓	98.4%	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	99.8%	(pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))
✓	91.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (fma.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)) #s(literal 1 binary64)))))
✓	89.0%	(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))
✓	88.2%	(-.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))

Compiler

Compiled 292 to 201 computations (31.2% saved)

Precisions

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

Operation composed, time spent: 386.0ms, 34.0% of total-time

Operation ival-mult, time spent: 296.0ms, 26.0% of total-time

Operation ival-sqrt, time spent: 154.0ms, 13.0% of total-time

Operation ival-div, time spent: 105.0ms, 9.0% of total-time

Operation ival-add, time spent: 97.0ms, 8.0% of total-time

Operation ival-pow, time spent: 70.0ms, 6.0% of total-time

Operation const, time spent: 21.0ms, 2.0% of total-time

Operation ival-sub, time spent: 16.0ms, 1.0% of total-time

Operation ival-neg, time spent: 5.0ms, 0.0% of total-time

series77.0ms (0.3%)

Counts

8 → 168

Calls

Call 1

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

Outputs
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 1 binary64))>
#<alt (-.f64 (.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)))) #s(literal 1 binary64))>
#<alt (-.f64 (.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 1 binary64))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (pow.f64 p #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 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (pow.f64 p #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 2 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 4 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64))) (+.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 #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))))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal -2 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 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 2 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 2 binary64))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.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 (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 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 70 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)))) (.f64 #s(literal 20 binary64) (/.f64 #s(literal 1 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 #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 1 binary64))>
#<alt (-.f64 (+.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))>
#<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 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))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x p)) #s(literal 1 binary64))>
#<alt (-.f64 (.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)) #s(literal 1 binary64))>
#<alt (-.f64 (.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)) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (pow.f64 p #s(literal 9 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -4 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/262144 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 p #s(literal 18 binary64)))) (+.f64 (.f64 #s(literal 1/1048576 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 p #s(literal 18 binary64)))) (.f64 #s(literal 1/4096 binary64) (/.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 12 binary64))))))))) (.f64 #s(literal -1/1024 binary64) (/.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 p #s(literal 9 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 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 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))>
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#<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

42 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	(sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 3)) (+ (* (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) (- (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 1)) 1))))
6.0ms	x	@	-inf	(+ 1 (pow (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 3))
5.0ms	x	@	inf	(sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 3)) (+ (* (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) (- (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 1)) 1))))
3.0ms	p	@	inf	(+ 1 (pow (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 3))
3.0ms	x	@	0	(/ x (sqrt (+ (* (* 2 p) (* 2 p)) (* x x))))

rewrite180.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`log1p-expm1-u`
209×	`add-cube-cbrt`
206×	`expm1-log1p-u`
204×	`pow1`
203×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	419
1	490	259
2	6684	259

Stop Event

1×	node limit

Counts

8 → 260

Calls

Call 1

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

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

simplify301.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

722×	`distribute-rgt-in`
722×	`distribute-lft-in`
409×	`*-commutative`
376×	`times-frac`
229×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1259	40392
1	3761	39252

Stop Event

1×	node limit

Counts

428 → 627

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 1 binary64))
(-.f64 (.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)))) #s(literal 1 binary64))
(-.f64 (.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 1 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 -2 binary64) (pow.f64 p #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 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -2 binary64) (pow.f64 p #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 2 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 4 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64))) (+.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 #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))))))) (pow.f64 x #s(literal 2 binary64)))
#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)))) #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 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #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 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 2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #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 (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))))))
(.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 70 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)))) (.f64 #s(literal 20 binary64) (/.f64 #s(literal 1 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 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)) #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 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x p))) #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 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))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x p)) #s(literal 1 binary64))
(-.f64 (.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)) #s(literal 1 binary64))
(-.f64 (.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)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (pow.f64 p #s(literal 9 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -4 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/262144 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 p #s(literal 18 binary64)))) (+.f64 (.f64 #s(literal 1/1048576 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 p #s(literal 18 binary64)))) (.f64 #s(literal 1/4096 binary64) (/.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 12 binary64))))))))) (.f64 #s(literal -1/1024 binary64) (/.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 p #s(literal 9 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 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 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))
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(/.f64 (/.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 (fma.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)) #s(literal 1 binary64)))) (sqrt.f64 (fma.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)) #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 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.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)) #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 6 binary64)) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.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)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 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))) #s(literal 1 binary64)) (fma.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)) #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))) (pow.f64 (cbrt.f64 (fma.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)) #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.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)) #s(literal 1 binary64))))
(pow.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 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 #s(literal 2 binary64) p))))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (neg.f64 (fma.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)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) (fma.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)) #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.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)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))))
(exp.f64 (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 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))
(fma.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)))) #s(literal 1 binary64))
(fma.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)))) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))
(.f64 (cbrt.f64 #s(literal 1/2 binary64)) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))) (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))))
(.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))))
(.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))) (sqrt.f64 #s(literal 1/2 binary64)))
(.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)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) 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 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))) (sqrt.f64 (fma.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)) #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (log1p.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) (log.f64 #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (+.f64 (log1p.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) (log.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (log.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 #s(literal 2 binary64) p))))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (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 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))
(.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 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64)))
(.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 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) (.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64)))
(.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 #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)) #s(literal 1 binary64)) (/.f64 (cbrt.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) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.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 (sqrt.f64 x) (pow.f64 (cbrt.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 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 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)))

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

eval721.0ms (3.2%)

Compiler: Compiled 36553 to 29564 computations (19.1% saved)

prune119.0ms (0.5%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	620	7	627
Fresh	2	4	6
Picked	1	4	5
Done	0	0	0
Total	623	15	638

Accuracy

99.8%

Counts

638 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.1%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 12 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64))) (pow.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 12 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 12 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 6 binary64))) #s(literal 1/18 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 12 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64)))) (.f64 (sqrt.f64 #s(literal 1/6 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 12 binary64)))))) (neg.f64 x))
	25.6%	(/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
▶	25.6%	(.f64 p (neg.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
✓	80.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (fma.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)) #s(literal 1 binary64)))))
	79.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))))) (pow.f64 (cbrt.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))) #s(literal 2 binary64)))))
▶	80.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) (fma.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)) #s(literal 1 binary64)))))
	51.4%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 1 binary64))))
✓	80.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)))))
✓	5.9%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
▶	15.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
	80.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))))))
▶	80.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (log1p.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))))
▶	37.1%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
✓	55.4%	(sqrt.f64 #s(literal 1/2 binary64))
	79.9%	(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))

Compiler

Compiled 592 to 484 computations (18.2% saved)

localize2.8s (12.4%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
✓	98.9%	(exp.f64 (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
✓	91.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (log1p.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))))
✓	77.2%	(log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
✓	88.2%	(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓	64.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
✓	99.6%	(.f64 p (neg.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
✓	99.4%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
✓	98.9%	(exp.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))
✓	91.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) (fma.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)) #s(literal 1 binary64)))))
	88.2%	(-.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))
✓	77.2%	(log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))

Compiler

Compiled 330 to 238 computations (27.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.1s

Operation composed, time spent: 1.1s, 36.0% of total-time

Operation ival-mult, time spent: 535.0ms, 17.0% of total-time

Operation ival-log, time spent: 395.0ms, 13.0% of total-time

Operation ival-sqrt, time spent: 244.0ms, 8.0% of total-time

Operation ival-pow, time spent: 215.0ms, 7.0% of total-time

Operation ival-div, time spent: 213.0ms, 7.0% of total-time

Operation ival-add, time spent: 162.0ms, 5.0% of total-time

Operation ival-exp, time spent: 129.0ms, 4.0% of total-time

Operation const, time spent: 42.0ms, 1.0% of total-time

Operation ival-sub, time spent: 37.0ms, 1.0% of total-time

Operation ival-neg, time spent: 9.0ms, 0.0% of total-time

series80.0ms (0.4%)

Counts

12 → 228

Calls

Call 1

Inputs
#<alt (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))>
#<alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) (fma.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)) #s(literal 1 binary64)))))>
#<alt (exp.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))>
#<alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)>
#<alt (.f64 p (neg.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))>
#<alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))>
#<alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (log1p.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))))>
#<alt (exp.f64 (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))>
#<alt (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))>

Outputs
#<alt (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))>
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#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1024 binary64) (/.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 p #s(literal 9 binary64)))) (.f64 x (-.f64 (.f64 #s(literal -4 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/262144 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 p #s(literal 18 binary64)))) (+.f64 (.f64 #s(literal 1/1048576 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 p #s(literal 18 binary64)))) (.f64 #s(literal 1/4096 binary64) (/.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 12 binary64))))))))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64))))))>
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#<alt (+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))))) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (.f64 #s(literal 16 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64))))))) (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64))))))))))))>
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#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (.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))))>
#<alt (.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))))>
#<alt (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/2048 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 7 binary64)))) (.f64 #s(literal 3/256 binary64) (/.f64 #s(literal 1 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))))>
#<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 (.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))))))>
#<alt (+.f64 #s(literal 1 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)))))))>
#<alt #s(literal -1 binary64)>
#<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

66 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(sqrt (* 1/2 (/ (exp (log (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 3)))) (+ (* (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) (- (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 1)) 1))))
6.0ms	x	@	-inf	(log (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 3)))
5.0ms	x	@	inf	(/ (sqrt 2) x)
5.0ms	x	@	-inf	(sqrt (* 1/2 (/ (exp (log (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 3)))) (+ (* (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) (- (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 1)) 1))))
3.0ms	x	@	inf	(sqrt (* 1/2 (exp (log (+ 1 (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))))))))

rewrite123.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

273×	`log1p-expm1-u`
273×	`expm1-log1p-u`
270×	`add-cube-cbrt`
268×	`add-exp-log`
268×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	485
1	653	409

Stop Event

1×	node limit

Counts

12 → 390

Calls

Call 1

Inputs
(log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) (fma.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)) #s(literal 1 binary64)))))
(exp.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 p (neg.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (log1p.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))))
(exp.f64 (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))

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

simplify353.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

794×	`distribute-lft-in`
550×	`*-commutative`
335×	`times-frac`
283×	`+-commutative`
223×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1688	44426
1	4737	42288

Stop Event

1×	node limit

Counts

618 → 835

Calls

Call 1

Inputs
(*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (pow.f64 p #s(literal 9 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 x (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal -1/1024 binary64) (/.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 p #s(literal 9 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1024 binary64) (/.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 p #s(literal 9 binary64)))) (.f64 x (-.f64 (.f64 #s(literal -4 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/262144 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 p #s(literal 18 binary64)))) (+.f64 (.f64 #s(literal 1/1048576 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 p #s(literal 18 binary64)))) (.f64 #s(literal 1/4096 binary64) (/.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 12 binary64))))))))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64))))))
(log.f64 #s(literal 2 binary64))
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(/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (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))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)))
(/.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)))))
(pow.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64)))) (cbrt.f64 (log1p.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))) (sqrt.f64 (log1p.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))
(fma.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)))) #s(literal 1 binary64))
(fma.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)))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 #s(literal 2 binary64) p))))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (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 1 binary64))
(.f64 #s(literal 1 binary64) (/.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 (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 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64)))
(.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 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) (.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64)))
(.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 #s(literal 1 binary64) (pow.f64 (cbrt.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)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.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) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.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 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 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)))

Outputs
(*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 p #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (pow.f64 p #s(literal 9 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/1024 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) (pow.f64 p #s(literal 9 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 3 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 x (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal -1/1024 binary64) (/.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 p #s(literal 9 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 x (pow.f64 p #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -1/1024 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64))) (pow.f64 p #s(literal 9 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 3 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 x (pow.f64 p #s(literal 6 binary64))) (.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) (pow.f64 p #s(literal 9 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 3 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1024 binary64) (/.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 p #s(literal 9 binary64)))) (.f64 x (-.f64 (.f64 #s(literal -4 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/262144 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 p #s(literal 18 binary64)))) (+.f64 (.f64 #s(literal 1/1048576 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 p #s(literal 18 binary64)))) (.f64 #s(literal 1/4096 binary64) (/.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 12 binary64))))))))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) (pow.f64 p #s(literal 9 binary64))) (.f64 x (fma.f64 #s(literal -4 binary64) (.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) x) (fma.f64 #s(literal -1/262144 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) #s(literal 2 binary64)) (pow.f64 p #s(literal 18 binary64))) (fma.f64 #s(literal 1/1048576 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) #s(literal 2 binary64)) (pow.f64 p #s(literal 18 binary64))) (.f64 #s(literal 1/4096 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 12 binary64)) (pow.f64 p #s(literal 12 binary64))))))) (neg.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 p #s(literal 6 binary64))))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 3 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) (pow.f64 p #s(literal 9 binary64))) (.f64 x (fma.f64 #s(literal -4 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 x (fma.f64 #s(literal -1/262144 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) #s(literal 2 binary64)) (pow.f64 p #s(literal 18 binary64))) (fma.f64 #s(literal 1/1048576 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) #s(literal 2 binary64)) (pow.f64 p #s(literal 18 binary64))) (.f64 #s(literal 1/4096 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 12 binary64)) (pow.f64 p #s(literal 12 binary64)))))))) (/.f64 #s(literal -1/128 binary64) (pow.f64 p #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 3 binary64)))))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 12 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (.f64 #s(literal -6 binary64) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))))) (.f64 #s(literal -3/4 binary64) (pow.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
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#s(literal 1 binary64)
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(.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 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) (.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64)))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) x)
(+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.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) (pow.f64 (cbrt.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 x (cbrt.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.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 #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 (/.f64 x (sqrt.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64))))) (sqrt.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64)))))
(.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 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.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)) (cbrt.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))
(.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 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64))))) (cbrt.f64 x)) (sqrt.f64 (hypot.f64 x (*.f64 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 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.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)))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.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 #s(literal 2 binary64) p))) #s(literal 1 binary64))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 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))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 3 binary64))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(pow.f64 (/.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) x))
(neg.f64 (/.f64 x (neg.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))
(log.f64 (exp.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.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 #s(literal 2 binary64) p))))))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(exp.f64 (log.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64)))
(+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))

eval1.1s (4.9%)

Compiler: Compiled 56716 to 45044 computations (20.6% saved)

prune293.0ms (1.3%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1218	9	1227
Fresh	2	4	6
Picked	4	1	5
Done	1	3	4
Total	1225	17	1242

Accuracy

99.9%

Counts

1242 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.0%	(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
	25.9%	(/.f64 p (neg.f64 x))
▶	6.3%	(/.f64 p x)
	6.3%	(*.f64 (/.f64 #s(literal 1 binary64) x) p)
▶	25.8%	(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
	79.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (E.f64) (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))) (fma.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)) #s(literal 1 binary64)))))
✓	80.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (fma.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)) #s(literal 1 binary64)))))
	79.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))))) (pow.f64 (cbrt.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))) #s(literal 2 binary64)))))
▶	80.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 3 binary64)))) (fma.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)) #s(literal 1 binary64)))))
	51.4%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 1 binary64))))
✓	80.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)))))
	17.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 p (/.f64 p x))))))
	6.2%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))))))
	80.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))))))
✓	37.1%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
✓	55.4%	(sqrt.f64 #s(literal 1/2 binary64))
▶	79.9%	(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))

Compiler

Compiled 587 to 453 computations (22.8% saved)

localize5.4s (24%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
	99.8%	(pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))
✓	89.0%	(+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))
✓	88.2%	(+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))
✓	86.9%	(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
	100.0%	(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
✓	99.9%	(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))
✓	89.0%	(+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))
✓	87.4%	(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
✓	99.6%	(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
✓	91.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 3 binary64)))) (fma.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)) #s(literal 1 binary64)))))
✓	88.3%	(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 3 binary64)))
	88.2%	(-.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))
	77.2%	(log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))

Compiler

Compiled 502 to 353 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.3s

Operation composed, time spent: 2.1s, 34.0% of total-time

Operation ival-pow, time spent: 1.3s, 20.0% of total-time

Operation ival-mult, time spent: 1.2s, 20.0% of total-time

Operation ival-add, time spent: 444.0ms, 7.0% of total-time

Operation ival-div, time spent: 341.0ms, 5.0% of total-time

Operation ival-log, time spent: 327.0ms, 5.0% of total-time

Operation ival-sqrt, time spent: 320.0ms, 5.0% of total-time

Operation ival-exp, time spent: 67.0ms, 1.0% of total-time

Operation const, time spent: 63.0ms, 1.0% of total-time

Operation ival-cbrt, time spent: 46.0ms, 1.0% of total-time

Operation ival-sub, time spent: 22.0ms, 0.0% of total-time

Operation ival-neg, time spent: 4.0ms, 0.0% of total-time

series105.0ms (0.5%)

Counts

9 → 216

Calls

Call 1

Inputs
#<alt (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 3 binary64)))>
#<alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 3 binary64)))) (fma.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)) #s(literal 1 binary64)))))>
#<alt (*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))>
#<alt (cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))>
#<alt (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))>
#<alt (pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))>
#<alt (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))>
#<alt (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))>

Outputs
#<alt (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (pow.f64 p #s(literal 9 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64))))))>
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#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -64 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 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#s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))))) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))))) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (.f64 #s(literal -12 binary64) (/.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 14 binary64)))) (.f64 #s(literal 84 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 10 binary64)))))))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.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 -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (.f64 #s(literal -12 binary64) (/.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 14 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 (.f64 #s(literal -12 binary64) (/.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 14 binary64)))) (.f64 #s(literal 48 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 10 binary64))))) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal 6 binary64) (/.f64 (+.f64 (.f64 #s(literal -12 binary64) (/.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 14 binary64)))) (.f64 #s(literal 84 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 10 binary64))))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (.f64 #s(literal -12 binary64) (/.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 14 binary64)))) (.f64 #s(literal 84 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 10 binary64))))))))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/262144 binary64) (pow.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/1048576 binary64) (pow.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (.f64 #s(literal 1/4096 binary64) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 7 binary64)))) (+.f64 (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 p #s(literal 3 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/262144 binary64) (pow.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/1048576 binary64) (pow.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (.f64 #s(literal 1/4096 binary64) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 p #s(literal 3 binary64)))))>

Calls

54 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	(pow (pow (* 1/2 (/ (+ (pow (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 3) 1) (+ (* (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) (+ (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) -1)) 1))) 3/2) 1/3)
5.0ms	p	@	0	(pow (pow (* 1/2 (/ (+ (pow (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 3) 1) (+ (* (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) (+ (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) -1)) 1))) 3/2) 1/3)
5.0ms	x	@	-inf	(pow (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 1/2)) 3/2)
5.0ms	x	@	-inf	(sqrt (* 1/2 (/ (exp (cbrt (pow (log (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 3))) 3))) (+ (* (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) (- (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 1)) 1))))
4.0ms	x	@	-inf	(+ (pow (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 3) 1)

rewrite230.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

867×	`prod-diff`
242×	`log1p-expm1-u`
242×	`expm1-log1p-u`
237×	`pow1`
237×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	513
1	706	491
2	7462	491

Stop Event

1×	node limit

Counts

9 → 269

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3/2 binary64)))) (log.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 9 binary64)))) (log.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) #s(literal -1 binary64))) (log.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal -1 binary64))))
(.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))
(.f64 (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) (pow.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(.f64 (sqrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) (sqrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(.f64 (pow.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))
(.f64 (pow.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64))))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64)))))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64))))))
(.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64))))) (cbrt.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64)))))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3/2 binary64))) (sqrt.f64 (fma.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)) #s(literal 1 binary64)))))
(.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3/2 binary64))) (sqrt.f64 (fma.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)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64))))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64)))) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64)))) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64))) #s(literal 3/2 binary64))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64))))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64)))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))) (sqrt.f64 (fma.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)) #s(literal 1 binary64))))
(pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64))))))
(log.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64))))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64)))) #s(literal 3/2 binary64)))
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(-.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #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 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #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 #s(literal 1 binary64) (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)))
(.f64 (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #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 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)))))
(.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #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 #s(literal 1 binary64) (.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))))))
(.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) 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 (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) 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 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))) (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) 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 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #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 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) 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 (neg.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))))
(/.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)))))
(pow.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))
(fma.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)))) #s(literal -1 binary64))
(fma.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)))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #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 3 binary64)) #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 3 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3/2 binary64))) (hypot.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3/2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) #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 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) #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) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 9 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 9 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))
(pow.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))) (sqrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))
(fma.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.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 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3/2 binary64)) #s(literal 1 binary64))

simplify426.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

593×	`*-commutative`
479×	`associate-+r+`
421×	`times-frac`
336×	`+-commutative`
227×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1719	4295025237
1	5154	4295020802

Stop Event

1×	node limit

Counts

485 → 755

Calls

Call 1

Inputs
(*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (pow.f64 p #s(literal 9 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 x (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal -1/1024 binary64) (/.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 p #s(literal 9 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) 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 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #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 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) 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 (neg.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))))
(/.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)))))
(pow.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64))
(fma.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)))) #s(literal -1 binary64))
(fma.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)))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #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 3 binary64)) #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 3 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3/2 binary64))) (hypot.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3/2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) #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 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) #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) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 9 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 9 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))
(pow.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))) (sqrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))
(fma.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.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 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3/2 binary64)) #s(literal 1 binary64))

Outputs
(*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 p #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (pow.f64 p #s(literal 9 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/1024 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) (pow.f64 p #s(literal 9 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 3 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 x (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal -1/1024 binary64) (/.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 p #s(literal 9 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 x (pow.f64 p #s(literal 6 binary64))) (.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) (pow.f64 p #s(literal 9 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 3 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1024 binary64) (/.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 p #s(literal 9 binary64)))) (.f64 x (-.f64 (.f64 #s(literal -4 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/262144 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 p #s(literal 18 binary64)))) (+.f64 (.f64 #s(literal 1/1048576 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 p #s(literal 18 binary64)))) (.f64 #s(literal 1/4096 binary64) (/.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 12 binary64))))))))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) (pow.f64 p #s(literal 9 binary64))) (.f64 x (fma.f64 #s(literal -4 binary64) (.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) x) (fma.f64 #s(literal -1/262144 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) #s(literal 2 binary64)) (pow.f64 p #s(literal 18 binary64))) (fma.f64 #s(literal 1/1048576 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) #s(literal 2 binary64)) (pow.f64 p #s(literal 18 binary64))) (/.f64 (.f64 #s(literal 1/4096 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 12 binary64))) (pow.f64 p #s(literal 12 binary64)))))) (neg.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 p #s(literal 6 binary64))))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 3 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) (pow.f64 p #s(literal 9 binary64))) (.f64 x (fma.f64 #s(literal -4 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 x (+.f64 (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64)) #s(literal 2 binary64)) (pow.f64 p #s(literal 18 binary64))) #s(literal -3/1048576 binary64)) (/.f64 (.f64 #s(literal 1/4096 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 12 binary64))) (pow.f64 p #s(literal 12 binary64)))))) (/.f64 #s(literal -1/128 binary64) (pow.f64 p #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 3 binary64)))))
(log.f64 #s(literal 2 binary64))
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(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 9 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 9 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 6 binary64)) (-.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 9 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 6 binary64)) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 6 binary64))) #s(literal 1 binary64)) (neg.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 6 binary64))) (-.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 #s(literal 2 binary64) p))) #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 6 binary64))) #s(literal 1 binary64)) (neg.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 6 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))
(pow.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3/2 binary64))) #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)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))) (sqrt.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 2 binary64)))
(fabs.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))
(log.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(expm1.f64 (log1p.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 2 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))
(fma.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))
(fma.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 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))

eval2.3s (10.4%)

Compiler: Compiled 112581 to 90365 computations (19.7% saved)

prune486.0ms (2.2%)

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	1827	1	1828
Fresh	1	7	8
Picked	1	4	5
Done	1	3	4
Total	1830	15	1845

Accuracy

99.9%

Counts

1845 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.0%	(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
	25.9%	(/.f64 p (neg.f64 x))
✓	6.3%	(/.f64 p x)
	79.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (E.f64) (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))) (fma.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)) #s(literal 1 binary64)))))
✓	80.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (fma.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)) #s(literal 1 binary64)))))
	79.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))))) (pow.f64 (cbrt.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))) #s(literal 2 binary64)))))
✓	80.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 3 binary64)))) (fma.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)) #s(literal 1 binary64)))))
	51.4%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 1 binary64))))
✓	80.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)))))
	17.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 p (/.f64 p x))))))
	6.2%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))))))
	80.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))))))
✓	55.4%	(sqrt.f64 #s(literal 1/2 binary64))
✓	79.9%	(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
	37.1%	#s(literal 1 binary64)

Compiler

Compiled 807 to 619 computations (23.3% saved)

regimes72.0ms (0.3%)

Counts

29 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 p x)
(/.f64 p (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) x) p)
(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 2 binary64) p)))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 1 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 p (/.f64 p x))))))
(neg.f64 (/.f64 (.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(.f64 p (neg.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) 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 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (log1p.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.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) (log.f64 (exp.f64 (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (fma.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)) #s(literal 1 binary64)))))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) (fma.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)) #s(literal 1 binary64)))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (E.f64) (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))) (fma.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)) #s(literal 1 binary64)))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 3 binary64)))) (fma.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)) #s(literal 1 binary64)))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))))) (pow.f64 (cbrt.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))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 12 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 48 binary64))) (pow.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 12 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 12 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 6 binary64))) #s(literal 1/18 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 12 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64)))) (.f64 (sqrt.f64 #s(literal 1/6 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 12 binary64)))))) (neg.f64 x))

Outputs

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

(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 3 binary64)))) (fma.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)) #s(literal 1 binary64)))))

Calls

7 calls:

27.0ms	p
19.0ms	x
7.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
7.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
3.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))

Results

Accuracy	Segments	Branch
83.8%	3	`p`
85.2%	2	`x`
99.9%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
99.9%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.9%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
80.0%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`

Compiler

Compiled 80 to 56 computations (30% saved)

regimes17.0ms (0.1%)

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.9%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
99.9%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.9%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes15.0ms (0.1%)

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

6.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
3.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
2.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
2.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))

Results

Accuracy	Segments	Branch
99.9%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
99.9%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.9%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes15.0ms (0.1%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
3.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
2.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
2.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))

Results

Accuracy	Segments	Branch
99.9%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
99.9%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.9%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes14.0ms (0.1%)

Counts

20 → 2

Calls

Call 1

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

Outputs
(/.f64 p (neg.f64 x))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (log1p.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))))

Calls

4 calls:

5.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
2.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
2.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
2.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))

Results

Accuracy	Segments	Branch
99.9%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
99.9%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.9%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes12.0ms (0.1%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
2.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
2.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
2.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))

Results

Accuracy	Segments	Branch
99.9%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
99.9%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.9%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes38.0ms (0.2%)

Counts

14 → 4

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	x
18.0ms	p

Results

Accuracy	Segments	Branch
78.6%	4	`p`
72.0%	7	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

8 → 4

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
78.4%	4	`p`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	p
4.0ms	x

Results

Accuracy	Segments	Branch
56.0%	2	`x`
44.5%	5	`p`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -21.3b remaining (-53%)

Threshold costs -21.3b (-53%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	p
2.0ms	x

Results

Accuracy	Segments	Branch
37.1%	1	`p`
37.1%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9999999954847358

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9999999954847358

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9999999954847358

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9999999954847358

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9999999954847358

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9999999954847358

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch93.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
25.0ms	3.9336186475796203e-22	1.4803861170080357e-20
33.0ms	9.475700651893735e-178	8.047590482022128e-176
35.0ms	8.415706124900467e-266	9.427837795656242e-265

Results

29.0ms	196×	256	valid
23.0ms	55×	2048	valid
10.0ms	29×	1024	valid
14.0ms	25×	4096	valid
3.0ms	14×	512	valid
0.0ms	1×	256	valid

Compiler

Compiled 286 to 240 computations (16.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

Operation ival-mult, time spent: 18.0ms, 42.0% of total-time

Operation ival-sqrt, time spent: 11.0ms, 26.0% of total-time

Operation ival-add, time spent: 7.0ms, 16.0% of total-time

Operation ival-div, time spent: 5.0ms, 12.0% of total-time

Operation const, time spent: 2.0ms, 5.0% of total-time

bsearch86.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
23.0ms	3.9336186475796203e-22	1.4803861170080357e-20
32.0ms	9.475700651893735e-178	8.047590482022128e-176
32.0ms	8.415706124900467e-266	9.427837795656242e-265

Results

32.0ms	211×	256	valid
17.0ms	40×	2048	valid
12.0ms	38×	1024	valid
10.0ms	17×	4096	valid
3.0ms	13×	512	valid
0.0ms	1×	256	valid

Compiler

Compiled 230 to 198 computations (13.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

Operation ival-mult, time spent: 16.0ms, 42.0% of total-time

Operation ival-sqrt, time spent: 10.0ms, 26.0% of total-time

Operation ival-add, time spent: 6.0ms, 16.0% of total-time

Operation ival-div, time spent: 5.0ms, 13.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

bsearch42.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	-1.4103023952884188e-149	3.64221911014526e-144

Results

33.0ms	226×	256	valid
3.0ms	13×	512	valid
0.0ms	1×	256	valid

Compiler

Compiled 189 to 153 computations (19% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

Operation ival-mult, time spent: 7.0ms, 44.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 25.0% of total-time

Operation ival-add, time spent: 3.0ms, 19.0% of total-time

Operation ival-div, time spent: 2.0ms, 13.0% of total-time

Operation const, time spent: 1.0ms, 6.0% of total-time

simplify26.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
10×	`+-commutative`
5×	`sub-neg`
4×	`neg-sub0`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	4294968253
1	126	4294968253
2	135	4294968253
3	144	4294968253
4	147	4294968253
5	148	4294968253

Stop Event

1×	fuel
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 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 3 binary64)))) (fma.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)) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (fma.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)) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))))
(if (<=.f64 p #s(literal 8422556708174943/72608247484266751113186645417475613287659189534150120071082610318161164900410369802010171606257634306142515810068016262229227795192622349013224149467890362587059123068723626657357734855190319183117148231560128769827526792328021488679545846696711820459572514914753120743347917422592 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 2965586401454427/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 4187068186722485/1329227995784915872903807060280344576 binary64)) #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 2 binary64) p))))))))
(if (<=.f64 p #s(literal 2087487115172669/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 1939037262489433/1140610154405548804660292901425072831223307126812139982644798129474818791802169346626478202829342849944660577393398601827672176180343859499563165329930553547062998668590066237520718548061650944 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 8772904772180445/1329227995784915872903807060280344576 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal -3279425240378259/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 binary64)) (/.f64 p (neg.f64 x)) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 3 binary64)))) (fma.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)) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 3 binary64)))) (fma.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)) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 3 binary64)))) (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))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (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)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (fma.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)) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (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))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (+.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1 binary64)))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (log1p.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 p #s(literal 2 binary64)) x))))))
(if (<=.f64 p #s(literal 8422556708174943/72608247484266751113186645417475613287659189534150120071082610318161164900410369802010171606257634306142515810068016262229227795192622349013224149467890362587059123068723626657357734855190319183117148231560128769827526792328021488679545846696711820459572514914753120743347917422592 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 2965586401454427/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 4187068186722485/1329227995784915872903807060280344576 binary64)) #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 2 binary64) p))))))))
(if (<=.f64 p #s(literal 8422556708174943/72608247484266751113186645417475613287659189534150120071082610318161164900410369802010171606257634306142515810068016262229227795192622349013224149467890362587059123068723626657357734855190319183117148231560128769827526792328021488679545846696711820459572514914753120743347917422592 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 2965586401454427/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 4187068186722485/1329227995784915872903807060280344576 binary64)) #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 p #s(literal 2 binary64)))))))))
(if (<=.f64 p #s(literal 2087487115172669/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 1939037262489433/1140610154405548804660292901425072831223307126812139982644798129474818791802169346626478202829342849944660577393398601827672176180343859499563165329930553547062998668590066237520718548061650944 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 8772904772180445/1329227995784915872903807060280344576 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal -3279425240378259/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 binary64)) (/.f64 p (neg.f64 x)) #s(literal 1 binary64))
#s(literal 1 binary64)

Compiler

Compiled 335 to 242 computations (27.8% saved)

soundness827.0ms (3.7%)

Rules

908×	`log1p-expm1-u`
802×	`log1p-expm1-u`
802×	`expm1-log1p-u`
794×	`distribute-lft-in`
666×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1688	44426
1	4737	42288
0	40	485
1	653	409
0	20	172
1	269	122
2	3576	118
0	31	419
1	490	259
2	6684	259

Stop Event

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

Compiler

Compiled 1110 to 789 computations (28.9% saved)

end0.0ms (0%)

preprocess168.0ms (0.7%)

Compiler: Compiled 932 to 624 computations (33% saved)

analyze767.0ms (3.4%)

sample2.4s (10.8%)

preprocess561.0ms (2.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize183.0ms (0.8%)

series26.0ms (0.1%)

rewrite236.0ms (1%)

simplify184.0ms (0.8%)

eval213.0ms (0.9%)

prune71.0ms (0.3%)

localize1.2s (5.5%)

series77.0ms (0.3%)

rewrite180.0ms (0.8%)

simplify301.0ms (1.3%)

eval721.0ms (3.2%)

prune119.0ms (0.5%)

localize2.8s (12.4%)

series80.0ms (0.4%)

rewrite123.0ms (0.5%)

simplify353.0ms (1.6%)

eval1.1s (4.9%)

prune293.0ms (1.3%)

localize5.4s (24%)

series105.0ms (0.5%)

rewrite230.0ms (1%)

simplify426.0ms (1.9%)

eval2.3s (10.4%)

prune486.0ms (2.2%)

regimes72.0ms (0.3%)

regimes17.0ms (0.1%)

regimes15.0ms (0.1%)

regimes15.0ms (0.1%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes38.0ms (0.2%)

regimes12.0ms (0.1%)

regimes14.0ms (0.1%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch93.0ms (0.4%)

bsearch86.0ms (0.4%)

bsearch42.0ms (0.2%)

simplify26.0ms (0.1%)

soundness827.0ms (3.7%)

end0.0ms (0%)

preprocess168.0ms (0.7%)

Profiling