Metrics for Given's Rotation SVD example

analyze385.0ms (2.9%)

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
50%	24.3%	24.3%	51.4%	0%	0%	0%	2
50%	24.3%	24.3%	51.4%	0%	0%	0%	3
62.5%	30.4%	18.2%	51.4%	0%	0%	0%	4
62.5%	30.4%	18.2%	51.4%	0%	0%	0%	5
68.8%	33.4%	15.2%	51.4%	0%	0%	0%	6
68.8%	33.4%	15.2%	51.4%	0%	0%	0%	7
71.1%	34.6%	14.1%	51.4%	0%	0%	0%	8
71.5%	34.8%	13.9%	51.4%	0%	0%	0%	9
72.9%	35.4%	13.2%	51.4%	0%	0%	0%	10
73.1%	35.6%	13.1%	51.4%	0%	0%	0%	11
73.9%	35.9%	12.7%	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: 217.0ms

Operation ival-mult, time spent: 81.0ms, 37.0% of total-time

Operation ival-sqrt, time spent: 42.0ms, 19.0% of total-time

Operation ival-add, time spent: 26.0ms, 12.0% of total-time

Operation ival-<, time spent: 21.0ms, 10.0% of total-time

Operation ival-div, time spent: 19.0ms, 9.0% of total-time

Operation ival-fabs, time spent: 17.0ms, 8.0% of total-time

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

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

sample2.6s (19.7%)

Results

1.4s	6408×	256	valid
476.0ms	840×	2048	valid
217.0ms	488×	1024	valid
82.0ms	267×	512	valid
184.0ms	252×	4096	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

Operation ival-mult, time spent: 425.0ms, 30.0% of total-time

Operation ival-<, time spent: 265.0ms, 19.0% of total-time

Operation ival-sqrt, time spent: 226.0ms, 16.0% of total-time

Operation ival-add, time spent: 204.0ms, 15.0% of total-time

Operation ival-div, time spent: 121.0ms, 9.0% of total-time

Operation ival-fabs, time spent: 97.0ms, 7.0% of total-time

Operation const, time spent: 40.0ms, 3.0% of total-time

Operation ival-and, time spent: 18.0ms, 1.0% of total-time

Bogosity

preprocess621.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1558×	`fma-define`
848×	`fma-neg`
254×	`distribute-lft-neg-in`
218×	`unsub-neg`
198×	`associate-l`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
71	-	-	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`
29	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
27	-	-	`(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	-	-	`x`
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`(*.f64 #s(literal 4 binary64) p)`
0	-	-	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
0	-	-	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`
0	-	-	`p`
0	-	-	`(*.f64 x x)`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
0	-	-	`#s(literal 1 binary64)`
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: 246.0ms

Operation ival-mult, time spent: 127.0ms, 52.0% of total-time

Operation ival-add, time spent: 45.0ms, 18.0% of total-time

Operation ival-sqrt, time spent: 41.0ms, 17.0% of total-time

Operation ival-div, time spent: 26.0ms, 11.0% 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
▶	79.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Compiler

Compiled 19 to 14 computations (26.3% saved)

localize210.0ms (1.6%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
✓	90.4%	(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)))))))
✓	89.6%	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
✓	74.2%	(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: 107.0ms

Operation ival-mult, time spent: 50.0ms, 47.0% of total-time

Operation ival-sqrt, time spent: 20.0ms, 19.0% of total-time

Operation ival-add, time spent: 19.0ms, 18.0% of total-time

Operation ival-div, time spent: 14.0ms, 13.0% of total-time

Operation const, time spent: 4.0ms, 4.0% of total-time

series26.0ms (0.2%)

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
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)))))))
1.0ms	x	@	inf	(+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))

rewrite251.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1332×	`log-prod`
968×	`fma-define`
802×	`log1p-expm1-u`
802×	`expm1-log1p-u`
458×	`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)))

simplify196.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

776×	`fma-define`
768×	`associate-r`
722×	`*-commutative`
628×	`associate-l`
522×	`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))

eval220.0ms (1.7%)

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

prune75.0ms (0.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	355	15	370
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	356	15	371

Accuracy

99.8%

Counts

371 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.1%	(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))
	20.0%	(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 x))
	25.3%	(.f64 p (neg.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
	77.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) x #s(literal 1 binary64))))
	13.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))
	11.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (+.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64)))))
	78.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))))))
▶	79.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)))))
▶	53.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 2 binary64) p)))))
	5.4%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
▶	79.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))))
	15.7%	(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))))))
	35.6%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
▶	57.5%	(sqrt.f64 #s(literal 1/2 binary64))
	25.1%	(neg.f64 (/.f64 (.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))

Compiler

Compiled 490 to 408 computations (16.7% saved)

localize695.0ms (5.2%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	100.0%	(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))
✓	99.2%	(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))
✓	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
✓	97.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 2 binary64) p)))))
✓	100.0%	(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))

Compiler

Compiled 220 to 155 computations (29.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 584.0ms

Operation ival-div, time spent: 173.0ms, 30.0% of total-time

Operation composed, time spent: 154.0ms, 26.0% of total-time

Operation ival-mult, time spent: 121.0ms, 21.0% of total-time

Operation ival-sqrt, time spent: 53.0ms, 9.0% of total-time

Operation ival-add, time spent: 47.0ms, 8.0% of total-time

Operation ival-pow, time spent: 27.0ms, 5.0% of total-time

Operation const, time spent: 9.0ms, 2.0% of total-time

series47.0ms (0.4%)

Counts

6 → 144

Calls

Call 1

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

Outputs
#<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)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))>
#<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 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<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 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<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 -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 #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 (.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))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x p)))))>
#<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 #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 #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 (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/128 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 x p)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 x p)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))>
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#<alt (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 x p))) (+.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/128 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))>
#<alt (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 x p))) (+.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/128 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/3072 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/24 binary64) (+.f64 (.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 p #s(literal 3 binary64)))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))>
#<alt (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 x p))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/128 binary64) (pow.f64 x #s(literal 2 binary64)))) p))) (.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) x))) p)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/3072 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/24 binary64) (+.f64 (.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))))))) p))) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/128 binary64) (pow.f64 x #s(literal 2 binary64)))))) p)) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) x))) p)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/32 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 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/32 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 #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/4 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 -1 binary64) (/.f64 (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 -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 -1/4 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 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 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 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 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 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 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 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 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 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 3 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 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 -10 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 x p))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 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 -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 x p)))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x)) p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 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 -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x))) p)))>

Calls

36 calls:

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

rewrite180.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1094×	`log1p-expm1-u`
260×	`associate-r`
196×	`expm1-log1p-u`
192×	`pow1`
189×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	223
1	439	217
2	6302	217

Stop Event

1×	node limit

Counts

6 → 193

Calls

Call 1

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

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

simplify230.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1352×	`fma-define`
992×	`associate-r`
864×	`associate-l`
606×	`distribute-rgt-in`
602×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	957	24116
1	2619	22868

Stop Event

1×	node limit

Counts

337 → 462

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -20 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x p))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x p)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) p)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) p)))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/128 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))
(*.f64 (sqrt.f64 (/.f64 x p)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 x p)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))))
(*.f64 (sqrt.f64 (/.f64 x p)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) x))) (.f64 (sqrt.f64 (*.f64 p x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) p)
(/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 p x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))))))) p)
(/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 p x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x)))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p (pow.f64 x #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))))))))) p)
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/128 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) p))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/128 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) p))) p)) (.f64 #s(literal -1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
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(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
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(-.f64 (exp.f64 (log1p.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 (+.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(.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 (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 3/4 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))) (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 (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 (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)))
(.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))) (.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)))) (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 (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)) (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 (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 3/4 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 (.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)))) (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 (+.f64 (pow.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) (/.f64 (.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) (/.f64 (.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #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 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 4 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 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 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 2 binary64)) #s(literal 1/2 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 binary64)) #s(literal 1/3 binary64))
(sqrt.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 2 binary64)))
(log.f64 (exp.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 (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 binary64)))
(expm1.f64 (log1p.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 (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 (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 binary64)))

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

eval394.0ms (3%)

Compiler: Compiled 14303 to 11563 computations (19.2% saved)

prune78.0ms (0.6%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	457	5	462
Fresh	7	3	10
Picked	1	4	5
Done	0	0	0
Total	465	12	477

Accuracy

100.0%

Counts

477 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.1%	(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) #s(literal 2 binary64))
	20.0%	(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 x))
	20.3%	(/.f64 (+.f64 p (/.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64))))) (neg.f64 x))
▶	25.5%	(/.f64 p (neg.f64 x))
▶	25.9%	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
▶	77.7%	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
▶	11.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (+.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64)))))
✓	79.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)))))
✓	53.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 2 binary64) p)))))
✓	79.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))))
	35.6%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
✓	57.5%	(sqrt.f64 #s(literal 1/2 binary64))

Compiler

Compiled 334 to 272 computations (18.6% saved)

localize1.7s (12.5%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
✓	81.0%	(/.f64 (+.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 4 binary64)))
✓	76.1%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (+.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64)))))
✓	67.6%	(fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (+.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -12 binary64)) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 4 binary64)))))
✓	64.4%	(+.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64)))
✓	99.1%	(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) #s(literal 2 binary64))
✓	96.9%	(pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64))
✓	90.8%	(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))
✓	77.8%	(fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓	100.0%	(*.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))
✓	89.8%	(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓	100.0%	(/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
✓	90.4%	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
✓	77.8%	(fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))

Compiler

Compiled 393 to 297 computations (24.4% saved)

Precisions

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

Operation ival-pow, time spent: 725.0ms, 49.0% of total-time

Operation composed, time spent: 248.0ms, 17.0% of total-time

Operation ival-mult, time spent: 243.0ms, 17.0% of total-time

Operation ival-div, time spent: 91.0ms, 6.0% of total-time

Operation ival-add, time spent: 72.0ms, 5.0% of total-time

Operation ival-sqrt, time spent: 46.0ms, 3.0% of total-time

Operation const, time spent: 30.0ms, 2.0% of total-time

Operation ival-cbrt, time spent: 10.0ms, 1.0% of total-time

Operation ival-neg, time spent: 2.0ms, 0.0% of total-time

series148.0ms (1.1%)

Counts

13 → 276

Calls

Call 1

Inputs
#<alt (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))>
#<alt (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64))))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))>
#<alt (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))>
#<alt (cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))>
#<alt (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64))>
#<alt (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) #s(literal 2 binary64))>
#<alt (+.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64)))>
#<alt (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (+.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -12 binary64)) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 4 binary64)))))>
#<alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (+.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 (+.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 4 binary64)))>

Outputs
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/32 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 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/32 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 #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/4 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 -1 binary64) (/.f64 (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 -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 -1/4 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 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 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 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 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 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 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 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 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 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 3 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 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 -10 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 x p))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 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 -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 x p)))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x)) p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 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 -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x))) p)))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 x (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/512 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 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 -1/2 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 -1/4 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 1/4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
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#<alt (.f64 (pow.f64 p #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 x (sqrt.f64 #s(literal 20 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 20 binary64)) #s(literal 2 binary64))))))) (.f64 (pow.f64 p #s(literal 4 binary64)) (sqrt.f64 #s(literal 20 binary64))))) (+.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 20 binary64)) #s(literal 2 binary64))))))) (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 20 binary64)) #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal 3 binary64)))))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 x (sqrt.f64 #s(literal 20 binary64)))))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal 3 binary64))))))>
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#<alt (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (+.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 6 binary64))) (*.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64))))))>
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#<alt (/.f64 (.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x)>
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#<alt (*.f64 #s(literal 20 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))>
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#<alt (*.f64 #s(literal 20 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))>
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#<alt (*.f64 #s(literal 20 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))>
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#<alt (/.f64 (+.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 6 binary64))) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))>

Calls

75 calls:

Time	Variable		Point	Expression
50.0ms	x	@	0	(cbrt (pow (+ (* x (/ 1/2 (sqrt (+ (* x x) (* (* p 2) (* p 2)))))) 1/2) 3/4))
10.0ms	p	@	0	(cbrt (pow (+ (* x (/ 1/2 (sqrt (+ (* x x) (* (* p 2) (* p 2)))))) 1/2) 3/4))
9.0ms	x	@	-inf	(pow (+ (* x (/ 1/2 (sqrt (+ (* x x) (* (* p 2) (* p 2)))))) 1/2) 3/4)
5.0ms	x	@	inf	(pow (+ (* x (/ 1/2 (sqrt (+ (* x x) (* (* p 2) (* p 2)))))) 1/2) 3/4)
4.0ms	p	@	0	(sqrt (+ (* x (/ 1/2 (sqrt (+ (* x x) (* (* p 2) (* p 2)))))) 1/2))

rewrite138.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

478×	`associate-r`
336×	`associate-l`
279×	`log1p-expm1-u`
279×	`expm1-log1p-u`
276×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	565
1	642	543

Stop Event

1×	node limit

Counts

13 → 347

Calls

Call 1

Inputs
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))
(pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) #s(literal 2 binary64))
(+.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (+.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -12 binary64)) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (+.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 4 binary64)))

Outputs
(+.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64))))) (.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64))))) (.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (sqrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 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 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))))
(.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64))))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64))))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))
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(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -12 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) (*.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))))) x)) #s(literal 2 binary64))
(fabs.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -12 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) (*.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))))) x))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -12 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) (*.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -12 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) (*.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))))) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -12 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) (*.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))))) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -12 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) (*.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))))) x)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -12 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) (*.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))))) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -12 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) (*.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))))) x)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -12 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -12 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))))) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))) #s(literal 1 binary64))
(.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))
(.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 20 binary64)) (pow.f64 x #s(literal -4 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) (*.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))) (cbrt.f64 (/.f64 (.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64)) (pow.f64 x #s(literal 8 binary64)))))
(.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64)) (pow.f64 x #s(literal 8 binary64)))) (cbrt.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64))) (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (cbrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal -4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal -4 binary64))))
(.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -20 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 20 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal 20 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (/.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 20 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (cbrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (cbrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64))) (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (cbrt.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))))
(.f64 (/.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 20 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 20 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(neg.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -20 binary64)) (pow.f64 x #s(literal 4 binary64))))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64)) (pow.f64 x #s(literal 8 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 p #s(literal 6 binary64))) #s(literal 20 binary64)) (pow.f64 x #s(literal -4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 20 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))))
(exp.f64 (log.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (*.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64)))

simplify377.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1194×	`distribute-rgt-in`
1190×	`distribute-lft-in`
1064×	`*-commutative`
772×	`times-frac`
516×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1565	4295012405
1	4475	4295010642

Stop Event

1×	node limit

Counts

623 → 714

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/32 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)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/4 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 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (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 -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 -1/4 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 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/4 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 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 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 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/4 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 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 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 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.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 -10 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 x p))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 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 -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 x p)))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x)) p)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 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 -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x))) p)))
(sqrt.f64 #s(literal 1/2 binary64))
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(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -12 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) (*.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))))) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -12 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) (*.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))))) x)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -12 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -12 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))))) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))) #s(literal 1 binary64))
(.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))
(.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 20 binary64)) (pow.f64 x #s(literal -4 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) (*.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))) (cbrt.f64 (/.f64 (.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64)) (pow.f64 x #s(literal 8 binary64)))))
(.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64)) (pow.f64 x #s(literal 8 binary64)))) (cbrt.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64))) (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (cbrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal -4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal -4 binary64))))
(.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -20 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 20 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal 20 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (/.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 20 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (cbrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (cbrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64))) (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (cbrt.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))))
(.f64 (/.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 20 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 20 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(neg.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -20 binary64)) (pow.f64 x #s(literal 4 binary64))))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64)) (pow.f64 x #s(literal 8 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 p #s(literal 6 binary64))) #s(literal 20 binary64)) (pow.f64 x #s(literal -4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 20 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))))
(exp.f64 (log.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (*.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64)))

Outputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) x) p))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal -1/32 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 1/2 binary64) (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/32 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)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 #s(literal 3/512 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal 1/32 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) p))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/32 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) p))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/4 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 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (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 -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 -1/4 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 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 #s(literal 1/4 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 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 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 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/4 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 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 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 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
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(.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64))) (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (cbrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal -4 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (cbrt.f64 #s(literal 20 binary64)) (pow.f64 x #s(literal -4 binary64)))))
(.f64 (/.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 20 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal -4 binary64))))
(.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))
(.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -20 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 p #s(literal 6 binary64)) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 20 binary64)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 p #s(literal 6 binary64)) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal 20 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (/.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 20 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal 20 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (cbrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64))) (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 (cbrt.f64 #s(literal 20 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (cbrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 (cbrt.f64 #s(literal 20 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64))) (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (cbrt.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64))) (cbrt.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))) (cbrt.f64 (pow.f64 x #s(literal 8 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))) (/.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64))) (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))))
(.f64 (/.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 p #s(literal 6 binary64)) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 20 binary64)) (cbrt.f64 (pow.f64 x #s(literal 8 binary64))))) (*.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 20 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))))
(.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 20 binary64)) (cbrt.f64 (pow.f64 x #s(literal 8 binary64))))) (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64))
(.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))) #s(literal 3 binary64))
(.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))
(pow.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))
(pow.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 20 binary64))) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 20 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 20 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 6 binary64))) #s(literal 20 binary64)))
(neg.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 20 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 p #s(literal 6 binary64)) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -20 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 p #s(literal 6 binary64)) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 4 binary64))))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 12 binary64)) #s(literal 400 binary64)) (pow.f64 x #s(literal 8 binary64))))
(sqrt.f64 (*.f64 (pow.f64 p #s(literal 12 binary64)) (/.f64 #s(literal 400 binary64) (pow.f64 x #s(literal 8 binary64)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 p #s(literal 6 binary64))) #s(literal 20 binary64)) (pow.f64 x #s(literal -4 binary64))))
(.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))))))
(.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 20 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 8000 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))))
(.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))
(exp.f64 (log.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))))
(.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (*.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal 20 binary64) (pow.f64 x #s(literal -4 binary64))))

eval757.0ms (5.7%)

Compiler: Compiled 33097 to 27213 computations (17.8% saved)

prune161.0ms (1.2%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	865	7	872
Fresh	2	1	3
Picked	3	2	5
Done	1	3	4
Total	871	13	884

Accuracy

100.0%

Counts

884 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.3%	(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))
▶	20.3%	(/.f64 (+.f64 p (/.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64))))) (neg.f64 x))
✓	25.5%	(/.f64 p (neg.f64 x))
▶	25.9%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64)))
	24.6%	(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x))
✓	77.7%	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
▶	53.3%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) x) p)))
▶	14.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 20 binary64)) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 2 binary64)))))
✓	79.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)))))
✓	79.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))))
	35.6%	(sqrt.f64 #s(literal 1 binary64))
✓	57.5%	(sqrt.f64 #s(literal 1/2 binary64))
▶	77.6%	(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))

Compiler

Compiled 325 to 260 computations (20% saved)

localize739.0ms (5.6%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	94.8%	(/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 20 binary64)) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 2 binary64)))
✓	93.6%	(.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 20 binary64)) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓	85.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 20 binary64)) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 2 binary64)))))
✓	83.6%	(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))
✓	99.9%	(*.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 4 binary64)))
✓	99.7%	(*.f64 p (pow.f64 x #s(literal 2 binary64)))
✓	97.8%	(/.f64 (+.f64 p (/.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64))))) (neg.f64 x))
✓	77.5%	(/.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64))))
✓	97.0%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) x) p)))
✓	100.0%	(.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64))
✓	99.7%	(*.f64 (/.f64 p x) (/.f64 p x))
	100.0%	(/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
✓	100.0%	(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
✓	100.0%	(pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))

Compiler

Compiled 391 to 277 computations (29.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 489.0ms

Operation ival-pow, time spent: 190.0ms, 39.0% of total-time

Operation ival-mult, time spent: 101.0ms, 21.0% of total-time

Operation ival-div, time spent: 74.0ms, 15.0% of total-time

Operation composed, time spent: 53.0ms, 11.0% of total-time

Operation ival-add, time spent: 25.0ms, 5.0% of total-time

Operation const, time spent: 17.0ms, 3.0% of total-time

Operation ival-sqrt, time spent: 15.0ms, 3.0% of total-time

Operation ival-sub, time spent: 9.0ms, 2.0% of total-time

Operation ival-cbrt, time spent: 2.0ms, 0.0% of total-time

Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

series81.0ms (0.6%)

Counts

13 → 240

Calls

Call 1

Inputs
#<alt (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))>
#<alt (cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))>
#<alt (*.f64 (/.f64 p x) (/.f64 p x))>
#<alt (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) x) p)))>
#<alt (/.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 p (/.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64))))) (neg.f64 x))>
#<alt (*.f64 p (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))>
#<alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 20 binary64)) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 20 binary64)) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 20 binary64)) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 2 binary64)))>

Outputs
#<alt (sqrt.f64 #s(literal 1/8 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal 3/32 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 9/1024 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 1/8 binary64)))) (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))))))>
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#<alt (*.f64 #s(literal 20 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))>
#<alt (.f64 (pow.f64 p #s(literal 6 binary64)) (-.f64 (.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) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))))>
#<alt (.f64 (pow.f64 p #s(literal 6 binary64)) (-.f64 (+.f64 (.f64 #s(literal 20 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 6 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 p #s(literal 6 binary64)) (-.f64 (+.f64 (.f64 #s(literal 20 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 6 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 20 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -6 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 20 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 20 binary64) (pow.f64 p #s(literal 6 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 6 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 20 binary64) (pow.f64 p #s(literal 6 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 6 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 -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 20 binary64) (/.f64 (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 -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 20 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (pow.f64 x #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 (+.f64 (.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 20 binary64) (/.f64 (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 -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 20 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>

Calls

75 calls:

Time	Variable		Point	Expression
21.0ms	x	@	-inf	(pow (+ (* x (/ 1/2 (sqrt (+ (* x x) (* (* p 2) (* p 2)))))) 1/2) 3/2)
5.0ms	p	@	0	(/ (* -3/2 (pow p 4)) (* p (pow x 2)))
2.0ms	x	@	inf	(pow (+ (* x (/ 1/2 (sqrt (+ (* x x) (* (* p 2) (* p 2)))))) 1/2) 3/2)
2.0ms	x	@	inf	(sqrt (* 1/2 (/ (* (pow p 2) (+ 2 (* (pow p 2) (- (* (/ (pow p 2) (pow x 4)) 20) (/ 6 (pow x 2)))))) (pow x 2))))
1.0ms	x	@	0	(sqrt (+ 1/2 (/ (* 1/4 x) p)))

rewrite144.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

384×	`log1p-expm1-u`
384×	`expm1-log1p-u`
373×	`add-exp-log`
373×	`add-cube-cbrt`
372×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	606
1	851	582

Stop Event

1×	node limit

Counts

13 → 219

Calls

Call 1

Inputs
(pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (/.f64 p x) (/.f64 p x))
(.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) x) p)))
(/.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 p (/.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64))))) (neg.f64 x))
(*.f64 p (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 4 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 20 binary64)) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 20 binary64)) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 20 binary64)) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 2 binary64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(exp.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 p x) p) x)
(/.f64 (*.f64 p (/.f64 p x)) x)
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 p x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 p x) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
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(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 p (sqrt.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 p (sqrt.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
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(pow.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (.f64 p (sqrt.f64 (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 p #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64))))))))
(cbrt.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(exp.f64 (log.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(.f64 (.f64 p (sqrt.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (.f64 p (sqrt.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 p (sqrt.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 p #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))

simplify254.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1492×	`associate-r`
1408×	`fma-define`
824×	`times-frac`
774×	`*-commutative`
754×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1177	30821
1	3227	28653

Stop Event

1×	node limit

Counts

459 → 548

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 1/8 binary64))
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(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 p (sqrt.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 p (sqrt.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 p (sqrt.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 p (sqrt.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (.f64 p (sqrt.f64 (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 p #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64))))))))
(cbrt.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(exp.f64 (log.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(.f64 (.f64 p (sqrt.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (.f64 p (sqrt.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 p (sqrt.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 p #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))

Outputs
(sqrt.f64 #s(literal 1/8 binary64))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal 3/32 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal 3/32 binary64) (/.f64 x (.f64 (sqrt.f64 #s(literal 1/8 binary64)) p))))
(fma.f64 #s(literal 3/32 binary64) (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) p)) (sqrt.f64 #s(literal 1/8 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 9/1024 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 1/8 binary64)))) (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))))))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 p #s(literal 2 binary64))) (/.f64 #s(literal 9/1024 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/8 binary64)))) (/.f64 #s(literal 3/32 binary64) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) p)))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 p #s(literal 2 binary64))) (/.f64 #s(literal -9/1024 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/8 binary64)))) (/.f64 #s(literal 3/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) p))) (sqrt.f64 #s(literal 1/8 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 3/32 binary64) (/.f64 (-.f64 (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 9/1024 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64)))))) (.f64 p (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 1/8 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 9/1024 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/8 binary64)))))) (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))))))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 (fma.f64 #s(literal 3/32 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 p #s(literal 2 binary64))) (/.f64 #s(literal 9/1024 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (.f64 p (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/128 binary64) (pow.f64 p #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 p #s(literal 2 binary64))) (/.f64 #s(literal 9/1024 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 #s(literal 3/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) p)))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 p #s(literal 2 binary64))) (/.f64 #s(literal -9/1024 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 2 binary64))))) p)) (/.f64 #s(literal 1/128 binary64) (pow.f64 p #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 p #s(literal 2 binary64))) (/.f64 #s(literal -9/1024 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/8 binary64))))) (/.f64 #s(literal 3/32 binary64) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) p))) (sqrt.f64 #s(literal 1/8 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
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(.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64) (neg.f64 (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (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 (pow.f64 x #s(literal -4 binary64)) #s(literal 20 binary64)) (.f64 #s(literal -6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 20 binary64) (neg.f64 (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (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 (pow.f64 x #s(literal -4 binary64)) #s(literal 20 binary64)) (.f64 #s(literal -6 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))

eval531.0ms (4%)

Compiler: Compiled 20624 to 16682 computations (19.1% saved)

prune129.0ms (1%)

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	619	5	624
Fresh	1	2	3
Picked	1	4	5
Done	0	5	5
Total	621	16	637

Accuracy

100.0%

Counts

637 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.3%	(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))
	25.0%	(/.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) p) x)
✓	25.5%	(/.f64 p (neg.f64 x))
	4.8%	(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) p) x)) #s(literal -1 binary64))
✓	25.9%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64)))
	23.3%	(.f64 p (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))
	5.0%	(*.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
✓	77.7%	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
✓	53.3%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) x) p)))
✓	14.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 20 binary64)) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 2 binary64)))))
✓	79.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)))))
✓	79.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))))
	35.6%	(sqrt.f64 #s(literal 1 binary64))
✓	57.5%	(sqrt.f64 #s(literal 1/2 binary64))
✓	77.6%	(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
	12.5%	(cbrt.f64 (neg.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64))))

Compiler

Compiled 667 to 515 computations (22.8% saved)

regimes72.0ms (0.5%)

Counts

33 → 2

Calls

Call 1

Inputs
(/.f64 p (neg.f64 x))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) x) p)))
(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)))))
(cbrt.f64 (neg.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64))))
(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 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(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 (-.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) p) x)
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))))
(.f64 p (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 p (/.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64))))) (neg.f64 x))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(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))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) x #s(literal 1 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))) p) x)) #s(literal -1 binary64))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 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))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))))))
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal -12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 x))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 20 binary64)) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (/.f64 (+.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -12 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64)))))

Outputs

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

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

Calls

7 calls:

26.0ms	p
17.0ms	x
8.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
6.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
5.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Results

Accuracy	Segments	Branch
81.7%	3	`p`
85.0%	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))))`
79.9%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`

Compiler

Compiled 80 to 56 computations (30% saved)

regimes15.0ms (0.1%)

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

regimes11.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

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

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

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
85.0%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes36.0ms (0.3%)

Counts

14 → 4

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	x
9.0ms	p

Results

Accuracy	Segments	Branch
75.3%	4	`p`
74.9%	7	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
75.2%	4	`p`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	p
2.0ms	x

Results

Accuracy	Segments	Branch
49.1%	2	`x`
31.4%	4	`p`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x
1.0ms	p

Results

Accuracy	Segments	Branch
25.5%	1	`p`
25.5%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999986039398141	-0.9631951629002676

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999986039398141	-0.9631951629002676

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch62.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
62.0ms	-1.4960829780639083e+28	-2.1765883256794392e+26

Results

10.0ms	65×	256	valid
33.0ms	21×	2048	valid
10.0ms	10×	4096	valid
3.0ms	8×	1024	valid
2.0ms	7×	512	valid
0.0ms	1×	256	valid

Compiler

Compiled 178 to 137 computations (23% 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, 12.0% of total-time

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

bsearch109.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
40.0ms	1.0727774932843452e-71	6.992472798356505e-69
36.0ms	1.491447548658124e-134	1.626447397676582e-133
33.0ms	4.080980218196148e-210	1.484273778633126e-209

Results

33.0ms	167×	256	valid
33.0ms	58×	2048	valid
18.0ms	46×	1024	valid
5.0ms	19×	512	valid
7.0ms	13×	4096	valid
0.0ms	1×	256	valid

Compiler

Compiled 281 to 228 computations (18.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

Operation ival-mult, time spent: 25.0ms, 48.0% of total-time

Operation ival-sqrt, time spent: 13.0ms, 25.0% of total-time

Operation ival-add, time spent: 7.0ms, 13.0% of total-time

Operation ival-div, time spent: 6.0ms, 11.0% of total-time

Operation const, time spent: 2.0ms, 4.0% of total-time

bsearch238.0ms (1.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
35.0ms	1.0727774932843452e-71	6.992472798356505e-69
173.0ms	1.491447548658124e-134	1.626447397676582e-133
29.0ms	4.080980218196148e-210	1.484273778633126e-209

Results

31.0ms	182×	256	valid
169.0ms	53×	2048	valid
15.0ms	42×	1024	valid
5.0ms	19×	512	valid
4.0ms	7×	4096	valid
0.0ms	1×	256	valid

Compiler

Compiled 407 to 284 computations (30.2% 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: 10.0ms, 23.0% of total-time

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

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

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

bsearch24.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.5189874833334118e-150	1.365016135866757e-148

Results

21.0ms	111×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 171 to 116 computations (32.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

Operation ival-mult, time spent: 7.0ms, 60.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 17.0% of total-time

Operation ival-div, time spent: 1.0ms, 9.0% of total-time

Operation ival-add, time spent: 1.0ms, 9.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative`
18×	`+-commutative`
8×	`sub-neg`
6×	`neg-sub0`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	712
1	107	712
2	115	712
3	120	712
4	122	712

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 -2206763817411543/2251799813685248 binary64)) (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) p) x) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -2206763817411543/2251799813685248 binary64)) (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) p) x) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))))
(if (<=.f64 x #s(literal -1249999999999999947889967104 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 3701491575958035/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64))) (if (<=.f64 p #s(literal 7927742878498469/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 1212225388748855/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(if (<=.f64 p #s(literal 4589849554187963/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64))) (if (<=.f64 p #s(literal 8183476519740355/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 8081502591659033/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 5712540779759169/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) (/.f64 p (neg.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64))))
(/.f64 p (neg.f64 x))

Outputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -2206763817411543/2251799813685248 binary64)) (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) p) x) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -2206763817411543/2251799813685248 binary64)) (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) p) x) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -2206763817411543/2251799813685248 binary64)) (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) p) x) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 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 -2206763817411543/2251799813685248 binary64)) (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) p) x) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))))))
(if (<=.f64 x #s(literal -1249999999999999947889967104 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 x #s(literal -1249999999999999947889967104 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 3701491575958035/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64))) (if (<=.f64 p #s(literal 7927742878498469/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 1212225388748855/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(if (<=.f64 p #s(literal 3701491575958035/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64))) (if (<=.f64 p #s(literal 7927742878498469/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 1212225388748855/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(if (<=.f64 p #s(literal 4589849554187963/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64))) (if (<=.f64 p #s(literal 8183476519740355/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 8081502591659033/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 5712540779759169/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) (/.f64 p (neg.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64))))
(/.f64 p (neg.f64 x))

Compiler

Compiled 208 to 141 computations (32.2% saved)

soundness1.2s (8.9%)

Rules

1492×	`associate-r`
1408×	`fma-define`
1352×	`fma-define`
1332×	`log-prod`
1094×	`log1p-expm1-u`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	736	14172
1	1923	13430
2	6399	13223
0	43	565
1	642	543
0	957	24116
1	2619	22868
0	20	172
1	269	122
2	3576	118
0	29	223
1	439	217
2	6302	217
0	1177	30821
1	3227	28653

Stop Event

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

Compiler

Compiled 1054 to 776 computations (26.4% saved)

end0.0ms (0%)

preprocess156.0ms (1.2%)

Compiler: Compiled 626 to 402 computations (35.8% saved)

analyze385.0ms (2.9%)

sample2.6s (19.7%)

preprocess621.0ms (4.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize210.0ms (1.6%)

series26.0ms (0.2%)

rewrite251.0ms (1.9%)

simplify196.0ms (1.5%)

eval220.0ms (1.7%)

prune75.0ms (0.6%)

localize695.0ms (5.2%)

series47.0ms (0.4%)

rewrite180.0ms (1.4%)

simplify230.0ms (1.7%)

eval394.0ms (3%)

prune78.0ms (0.6%)

localize1.7s (12.5%)

series148.0ms (1.1%)

rewrite138.0ms (1%)

simplify377.0ms (2.8%)

eval757.0ms (5.7%)

prune161.0ms (1.2%)

localize739.0ms (5.6%)

series81.0ms (0.6%)

rewrite144.0ms (1.1%)

simplify254.0ms (1.9%)

eval531.0ms (4%)

prune129.0ms (1%)

regimes72.0ms (0.5%)

regimes15.0ms (0.1%)

regimes11.0ms (0.1%)

regimes36.0ms (0.3%)

regimes3.0ms (0%)

regimes6.0ms (0%)

regimes2.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch62.0ms (0.5%)

bsearch109.0ms (0.8%)

bsearch238.0ms (1.8%)

bsearch24.0ms (0.2%)

simplify17.0ms (0.1%)

soundness1.2s (8.9%)

end0.0ms (0%)

preprocess156.0ms (1.2%)

Profiling