Metrics for Given's Rotation SVD example

analyze700.0ms (5.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	48.6%	51.4%	0%	0%	0%	0
0%	0%	48.6%	51.4%	0%	0%	0%	1
0%	0%	48.6%	51.4%	0%	0%	0%	2
0%	0%	48.6%	51.4%	0%	0%	0%	3
0%	0%	48.6%	51.4%	0%	0%	0%	4
31.3%	15.2%	33.4%	51.4%	0%	0%	0%	5
34.4%	16.7%	31.9%	51.4%	0%	0%	0%	6
51.6%	25.1%	23.6%	51.4%	0%	0%	0%	7
53.1%	25.8%	22.8%	51.4%	0%	0%	0%	8
62.5%	30.4%	18.2%	51.4%	0%	0%	0%	9
63.7%	31%	17.7%	51.4%	0%	0%	0%	10
68.6%	33.3%	15.3%	51.4%	0%	0%	0%	11
69.2%	33.7%	15%	51.4%	0%	0%	0%	12

Compiler

Compiled 28 to 20 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 440.0ms

...c/correct-round.rkt:121:19: 122.0ms (27.7% of total)

ival-add: 104.0ms (23.6% of total)

ival-mult: 86.0ms (19.5% of total)

ival-sqrt: 52.0ms (11.8% of total)

ival-<: 25.0ms (5.7% of total)

ival-div: 24.0ms (5.4% of total)

ival-fabs: 19.0ms (4.3% of total)

ival-and: 4.0ms (0.9% of total)

const: 4.0ms (0.9% of total)

backward-pass: 1.0ms (0.2% of total)

sample3.3s (27%)

Results

1.6s	6235×	0	valid
799.0ms	1202×	2	valid
200.0ms	639×	1	valid
127.0ms	180×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-mult: 571.0ms (27.4% of total)

ival-div: 416.0ms (20% of total)

...c/correct-round.rkt:121:19: 343.0ms (16.5% of total)

ival-sqrt: 330.0ms (15.9% of total)

ival-add: 183.0ms (8.8% of total)

ival-<: 76.0ms (3.7% of total)

backward-pass: 71.0ms (3.4% of total)

ival-fabs: 65.0ms (3.1% of total)

const: 15.0ms (0.7% of total)

ival-and: 10.0ms (0.5% of total)

Bogosity

preprocess194.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs p)

explain198.0ms (1.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
61	-	0	-	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`
39	-	0	-	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
28	-	1	(5.260975842872351e-121 -1.911163267843245e+39)	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
0	-	0	-	`x`
0	-	0	-	`#s(literal 1/2 binary64)`
0	-	0	-	`(*.f64 #s(literal 4 binary64) p)`
0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
0	-	0	-	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`
0	-	0	-	`p`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`

Results

54.0ms	368×	0	valid
42.0ms	84×	2	valid
12.0ms	46×	1	valid
8.0ms	14×	3	valid

Compiler

Compiled 213 to 44 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 31.0ms (46.2% of total)

ival-sqrt: 13.0ms (19.4% of total)

ival-add: 8.0ms (11.9% of total)

backward-pass: 7.0ms (10.4% of total)

ival-div: 6.0ms (8.9% of total)

const: 2.0ms (3% of total)

eval1.0ms (0%)

Compiler: Compiled 49 to 22 computations (55.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Compiler

Compiled 19 to 14 computations (26.3% saved)

localize150.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(*.f64 #s(literal 4 binary64) p)
✓	cost-diff	0	(.f64 (.f64 #s(literal 4 binary64) p) p)
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
✓	accuracy	89.8%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
✓	accuracy	86.3%	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
✓	accuracy	77.8%	(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))

Rules

9×	`fma-define`
6×	`*-commutative`
3×	`1-exp`
2×	`distribute-rgt-in`
2×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	341
1	40	341
2	50	333
3	55	333
4	57	333
5	58	333

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

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

Results

52.0ms	184×	0	valid
17.0ms	42×	2	valid
6.0ms	23×	1	valid
4.0ms	7×	3	valid

Compiler

Compiled 97 to 15 computations (84.5% saved)

Precisions

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

ival-mult: 15.0ms (46.9% of total)

ival-sqrt: 6.0ms (18.8% of total)

backward-pass: 4.0ms (12.5% of total)

ival-add: 4.0ms (12.5% of total)

ival-div: 3.0ms (9.4% of total)

const: 1.0ms (3.1% of total)

series32.0ms (0.3%)

Counts

7 → 120

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))>
#<alt (.f64 (.f64 #s(literal 4 binary64) p) p)>
#<alt (*.f64 #s(literal 4 binary64) p)>
#<alt (*.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))))))>
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#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 p (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 p (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (.f64 p (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 p (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -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))))))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.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)))) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (.f64 p (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (.f64 p (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) x))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 20 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)) (.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))))) (pow.f64 p #s(literal 3 binary64)))))))>
#<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))))))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>

Calls

33 calls:

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

rewrite360.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	211
1	269	158
2	3576	154

Stop Event

1×	node limit

Counts

7 → 221

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))
(.f64 (.f64 #s(literal 4 binary64) p) p)
(*.f64 #s(literal 4 binary64) 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)))
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(.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)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) p))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 p) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 p) #s(literal 4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 p) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 p) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 p) #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) p))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) p) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) p)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) p) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 p)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 p) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) p))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) p) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) p)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) p)))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) p)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) p)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))

simplify271.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

412×	`associate-r`
406×	`fma-define`
365×	`*-commutative`
342×	`associate-l`
279×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	824	15520
1	2057	14745
2	7005	14707

Stop Event

1×	node limit

Counts

341 → 431

Calls

Call 1

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

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

eval79.0ms (0.6%)

Compiler: Compiled 11529 to 2760 computations (76.1% saved)

prune87.0ms (0.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	416	15	431
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	417	15	432

Accuracy

99.8%

Counts

432 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.0%	(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))
▶	75.6%	(.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)))
	30.1%	(.f64 (neg.f64 p) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
	72.7%	(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))))
	72.4%	(sqrt.f64 (.f64 #s(literal 1/2 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))))
	16.3%	(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)))))
	53.1%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)))))
▶	76.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)))))
▶	48.5%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 2 binary64) p)))))
	6.6%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
	19.2%	(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))))))
	76.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))))
	34.6%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
▶	52.4%	(sqrt.f64 #s(literal 1/2 binary64))
	30.0%	(neg.f64 (/.f64 (.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))

Compiler

Compiled 442 to 322 computations (27.1% saved)

localize167.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 34 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
✓	cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
✓	cost-diff	0	(.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)))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) p)
✓	cost-diff	0	(hypot.f64 (*.f64 #s(literal 2 binary64) p) x)
✓	cost-diff	0	(/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
✓	cost-diff	-6144	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 2 binary64) p)))))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) p)
✓	cost-diff	0	(/.f64 x (*.f64 #s(literal 2 binary64) p))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) p)))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
✓	cost-diff	0	(fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	cost-diff	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 3/2 binary64))
✓	cost-diff	64	(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))
✓	accuracy	100.0%	(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
✓	accuracy	99.6%	(.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)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x))))
✓	accuracy	100.0%	(/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
✓	accuracy	100.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) p)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) p)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 2 binary64) p))))
✓	accuracy	96.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 2 binary64) p)))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) p)
✓	accuracy	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))
✓	accuracy	100.0%	(/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
✓	accuracy	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 3/2 binary64))

Rules

19×	`fma-define`
12×	`*-commutative`
10×	`associate-*l/`
8×	`associate-r`
8×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	705
1	66	701
2	103	689
3	142	681
4	160	681
5	162	681

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

71.0ms	182×	0	valid
30.0ms	74×	0	invalid

Compiler

Compiled 208 to 27 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-pow: 16.0ms (26.6% of total)

ival-hypot: 9.0ms (15% of total)

ival-mult: 8.0ms (13.3% of total)

ival-sqrt: 7.0ms (11.7% of total)

ival-div: 6.0ms (10% of total)

ival-add: 5.0ms (8.3% of total)

...c/correct-round.rkt:121:19: 4.0ms (6.7% of total)

ival-fma: 3.0ms (5% of total)

const: 1.0ms (1.7% of total)

backward-pass: 0.0ms (0% of total)

series96.0ms (0.8%)

Counts

18 → 384

Calls

Call 1

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

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))))))))>
#<alt (+.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))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.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)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.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)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (+.f64 (.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 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64))) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 1/4 binary64) (pow.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)))) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.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)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 (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 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)))) (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (+.f64 (.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 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64))) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 1/4 binary64) (pow.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)))) #s(literal 2 binary64))))))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (+.f64 (.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 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64))) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 1/4 binary64) (pow.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)))) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 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 1/2 binary64) (.f64 (pow.f64 p #s(literal 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 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 p #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 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 1/2 binary64) (.f64 (pow.f64 p #s(literal 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 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 2 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 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/16 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 1/2 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)))))))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 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 1/2 binary64) (.f64 (pow.f64 p #s(literal 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))))))) #s(literal 2 binary64)) (pow.f64 p #s(literal 6 binary64))))) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 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 1/2 binary64) (.f64 (pow.f64 p #s(literal 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 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 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)))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal 1/16 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 1/2 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))))))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 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#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (+.f64 (.f64 #s(literal 1/8 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)))) (.f64 p (pow.f64 x #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.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))))))))) (.f64 #s(literal 1/8 binary64) (/.f64 (.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)))) (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (pow.f64 p #s(literal 2 binary64))))) (.f64 p (pow.f64 x #s(literal 6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (*.f64 p (pow.f64 x #s(literal 4 binary64)))))))) x))>
#<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 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 11/8 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -69/16 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 11/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<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 (.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #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 (.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<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 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 p (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/8 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 (.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) p)) (.f64 #s(literal 1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<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)))))))))>

Calls

99 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(pow (pow (+ (* (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 1/2) 1/2) 3/2) 1/3)
6.0ms	x	@	-inf	(pow (+ (* (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 1/2) 1/2) 3/2)
6.0ms	x	@	inf	(pow (+ (* (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 1/2) 1/2) 3/2)
4.0ms	p	@	0	(pow (+ (* (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 1/2) 1/2) 3/2)
3.0ms	x	@	inf	(sqrt (+ 1 (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p)))))))

rewrite318.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

959×	`prod-diff`
221×	`log1p-expm1-u`
221×	`expm1-log1p-u`
219×	`pow1`
216×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	552
1	506	528
2	7140	528

Stop Event

1×	node limit

Counts

18 → 536

Calls

Call 1

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

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

simplify631.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

564×	`*-commutative`
547×	`distribute-lft-in`
523×	`times-frac`
298×	`+-commutative`
237×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1729	8589989152
1	4774	8589986498

Stop Event

1×	node limit

Counts

920 → 919

Calls

Call 1

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

eval372.0ms (3.1%)

Compiler: Compiled 30919 to 4957 computations (84% saved)

prune200.0ms (1.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	1064	6	1070
Fresh	7	3	10
Picked	2	3	5
Done	0	0	0
Total	1073	12	1085

Accuracy

100.0%

Counts

1085 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.1%	(pow.f64 (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
	34.6%	(pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64))
▶	29.2%	(/.f64 (+.f64 p (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -12 binary64) p)))) (neg.f64 x))
▶	30.5%	(/.f64 p (neg.f64 x))
	25.8%	(+.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)))))
✓	75.6%	(.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)))
▶	48.4%	(sqrt.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal 1/2 binary64) x))))
▶	72.7%	(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))))
	72.4%	(sqrt.f64 (.f64 #s(literal 1/2 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))))
	53.1%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)))))
✓	76.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)))))
✓	52.4%	(sqrt.f64 #s(literal 1/2 binary64))

Compiler

Compiled 331 to 223 computations (32.6% saved)

localize370.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))
✓	cost-diff	7168	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
✓	cost-diff	7168	(pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 3/2 binary64))
✓	cost-diff	7232	(pow.f64 (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	0	(pow.f64 p #s(literal 4 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -12 binary64) p))
✓	cost-diff	128	(.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -12 binary64) p)))
✓	cost-diff	-6144	(sqrt.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal 1/2 binary64) x))))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1/4 binary64) p)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(/.f64 p (neg.f64 x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
✓	cost-diff	128	(.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)))
✓	cost-diff	128	(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))))
✓	cost-diff	6400	(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) x #s(literal 1 binary64))
✓	accuracy	99.8%	(pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))
✓	accuracy	89.1%	(-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
✓	accuracy	89.1%	(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))
✓	accuracy	89.0%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
✓	accuracy	100.0%	(+.f64 p (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -12 binary64) p))))
✓	accuracy	97.4%	(/.f64 (+.f64 p (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -12 binary64) p)))) (neg.f64 x))
✓	accuracy	97.1%	(*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -12 binary64) p))
✓	accuracy	94.4%	(/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1/4 binary64) p)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal 1/2 binary64) x))
✓	accuracy	99.8%	(*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal 1/2 binary64) x)))
✓	accuracy	96.3%	(sqrt.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal 1/2 binary64) x))))
✓	accuracy	100.0%	(/.f64 p (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
	accuracy	100.0%	(*.f64 #s(literal 2 binary64) p)
✓	accuracy	100.0%	(.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)))
✓	accuracy	100.0%	(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))))

Rules

801×	`fma-define`
558×	`fma-neg`
407×	`distribute-lft-neg-in`
383×	`div-sub`
337×	`times-frac`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	47	1085
1	94	1077
2	205	1039
3	433	1001
4	1126	1001
5	3136	1001
6	6310	911

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

70.0ms	123×	0	valid
37.0ms	74×	0	invalid
37.0ms	30×	1	valid
34.0ms	22×	2	valid
17.0ms	7×	3	valid

Compiler

Compiled 322 to 41 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-pow: 36.0ms (27.7% of total)

ival-div: 28.0ms (21.6% of total)

ival-mult: 17.0ms (13.1% of total)

ival-sqrt: 12.0ms (9.2% of total)

ival-hypot: 9.0ms (6.9% of total)

backward-pass: 8.0ms (6.2% of total)

...c/correct-round.rkt:121:19: 5.0ms (3.8% of total)

ival-fma: 4.0ms (3.1% of total)

ival-sub: 3.0ms (2.3% of total)

ival-add: 3.0ms (2.3% of total)

const: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

series159.0ms (1.3%)

Counts

23 → 444

Calls

Call 1

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

Outputs
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal -3/128 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 p (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x))>
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(pow.f64 p #s(literal 8 binary64))) (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 2 binary64))))))) (-.f64 (.f64 #s(literal 1/64 binary64) (+.f64 (.f64 #s(literal 4 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 256 binary64) (pow.f64 p #s(literal 8 binary64))) (.f64 #s(literal 512 binary64) (pow.f64 p #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal 1024 binary64) (pow.f64 p #s(literal 10 binary64))) (.f64 #s(literal 2048 binary64) (pow.f64 p #s(literal 10 binary64)))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/64 binary64) (+.f64 (.f64 #s(literal -512 binary64) (pow.f64 p #s(literal 8 binary64))) (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 2 binary64))))))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) (+.f64 (.f64 #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 (.f64 #s(literal 2 binary64) (+.f64 (.f64 #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 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (+.f64 (.f64 #s(literal -512 binary64) (pow.f64 p #s(literal 8 binary64))) (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 p #s(literal 6 binary64)))))))) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (+.f64 (.f64 #s(literal -512 binary64) (pow.f64 p #s(literal 8 binary64))) (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 2 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(.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 2 binary64))))))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) (+.f64 (.f64 #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 (.f64 #s(literal 2 binary64) (+.f64 (.f64 #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 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (+.f64 (.f64 #s(literal -512 binary64) (pow.f64 p #s(literal 8 binary64))) (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 p #s(literal 6 binary64))))))) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 39/8 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -275/16 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 39/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 #s(literal 1/8 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))))>
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#<alt (sqrt.f64 #s(literal 1/8 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))) (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))) (.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 #s(literal 1/8 binary64))))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) x)) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) x)) (-.f64 (.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))))) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))) (.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) x)) (-.f64 (.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))))))) (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))) (sqrt.f64 #s(literal 1/8 binary64))))) p)) (.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 #s(literal 1/8 binary64))))) p)))>

Calls

126 calls:

Time	Variable		Point	Expression
14.0ms	x	@	inf	(pow (/ (* (- 1 (pow (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 2)) 1/2) (- 1 (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))))) 3/2)
12.0ms	p	@	-inf	(pow (/ (* (- 1 (pow (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 2)) 1/2) (- 1 (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))))) 3/2)
12.0ms	x	@	-inf	(pow (/ (* (- 1 (pow (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 2)) 1/2) (- 1 (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))))) 3/2)
9.0ms	x	@	inf	(sqrt (* x (+ (/ 1/4 p) (/ 1/2 x))))
5.0ms	p	@	0	(/ p (neg x))

rewrite197.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

348×	`log1p-expm1-u`
348×	`expm1-log1p-u`
338×	`add-cube-cbrt`
337×	`add-exp-log`
334×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	910
1	776	888

Stop Event

1×	node limit

Counts

23 → 467

Calls

Call 1

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

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

simplify534.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

675×	`*-commutative`
378×	`+-commutative`
255×	`associate-*r/`
250×	`fma-define`
227×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	2216	4295024792
1	5979	4295023380

Stop Event

1×	node limit

Counts

911 → 1063

Calls

Call 1

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

Outputs
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal -1/32 binary64) (.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) p))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal -3/128 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal -3/128 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (pow.f64 p #s(literal 3 binary64)))))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (neg.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (neg.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (neg.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 #s(literal -1/2 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))))) (neg.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (neg.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (neg.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 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)))) (.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (neg.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(neg.f64 (.f64 p (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)))
(.f64 p (neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 p (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))) #s(literal 3/2 binary64))))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))) #s(literal 3/2 binary64)))
(pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))) #s(literal 3/2 binary64))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 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 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))))))
(pow.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))) #s(literal 3 binary64))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))) #s(literal 3/4 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) #s(literal 3/4 binary64)))
(pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))) #s(literal 3/2 binary64))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))) #s(literal 3/2 binary64)))
(pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))) #s(literal 3/2 binary64))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))) #s(literal 3/2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))))))
(pow.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) #s(literal 3/2 binary64))))
(pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))) #s(literal 3/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) #s(literal 3/2 binary64)))))
(pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))) #s(literal 3/2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))) #s(literal 3/2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) #s(literal 3/2 binary64))))
(pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))) #s(literal 3/2 binary64))
(exp.f64 (log.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) #s(literal 3/2 binary64))))
(pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))) #s(literal 3/2 binary64))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))))) #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))) #s(literal 3/2 binary64))

eval187.0ms (1.5%)

Compiler: Compiled 41516 to 5834 computations (85.9% saved)

prune171.0ms (1.4%)

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	1118	11	1129
Fresh	2	2	4
Picked	1	4	5
Done	0	3	3
Total	1121	20	1141

Accuracy

100.0%

Counts

1141 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.1%	(pow.f64 (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
	53.1%	(pow.f64 (pow.f64 (/.f64 (.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
	30.5%	(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) p) x)
✓	30.5%	(/.f64 p (neg.f64 x))
▶	6.9%	(/.f64 p x)
	6.9%	(/.f64 #s(literal 1 binary64) (/.f64 x p))
	25.8%	(+.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)))))
▶	72.4%	(.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) x #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
✓	75.6%	(.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)))
	6.9%	(*.f64 p (/.f64 #s(literal 1 binary64) x))
	48.5%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
	53.1%	(sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))))
▶	41.5%	(sqrt.f64 (.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) p) (.f64 x #s(literal 1/4 binary64))) (.f64 x p))))
	52.3%	(sqrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) x)))
✓	48.4%	(sqrt.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal 1/2 binary64) x))))
✓	72.7%	(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))))
▶	72.4%	(sqrt.f64 (.f64 #s(literal 1/2 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))))
✓	76.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)))))
▶	34.6%	(sqrt.f64 #s(literal 1 binary64))
✓	52.4%	(sqrt.f64 #s(literal 1/2 binary64))

Compiler

Compiled 457 to 310 computations (32.2% saved)

localize243.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 28 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
	cost-diff	6400	(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) x #s(literal 1 binary64))
✓	cost-diff	6400	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) x #s(literal 1 binary64)))
✓	cost-diff	6400	(.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) x #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	-5888	(sqrt.f64 (.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) p) (.f64 x #s(literal 1/4 binary64))) (.f64 x p))))
✓	cost-diff	0	(*.f64 x p)
✓	cost-diff	0	(*.f64 x #s(literal 1/4 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) p)
✓	cost-diff	6400	(sqrt.f64 #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 p x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
✓	cost-diff	19648	(.f64 #s(literal 1/2 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)))
✓	cost-diff	19648	(sqrt.f64 (.f64 #s(literal 1/2 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))))
✓	cost-diff	25920	(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))
	accuracy	100.0%	(*.f64 #s(literal 2 binary64) p)
	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) x #s(literal 1 binary64)))
✓	accuracy	99.6%	(.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) x #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) p)
✓	accuracy	99.8%	(.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) p) (.f64 x #s(literal 1/4 binary64))) (.f64 x p)))
✓	accuracy	96.3%	(sqrt.f64 (.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) p) (.f64 x #s(literal 1/4 binary64))) (.f64 x p))))
✓	accuracy	91.1%	(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) p) (.f64 x #s(literal 1/4 binary64))) (*.f64 x p))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 p x)
✓	accuracy	100.0%	(sqrt.f64 (.f64 #s(literal 1/2 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))))
✓	accuracy	100.0%	(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))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
✓	accuracy	99.6%	(/.f64 x (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))

Rules

718×	`cube-prod`
625×	`associate-/r/`
622×	`distribute-rgt-out`
574×	`fma-define`
521×	`swap-sqr`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	35	798
1	61	798
2	119	754
3	200	742
4	364	614
5	661	614
6	1426	587
7	3394	587
8	4503	587
9	6079	587
10	7175	587

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

57.0ms	182×	0	valid
25.0ms	74×	0	invalid

Compiler

Compiled 220 to 29 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 12.0ms (25.4% of total)

ival-div: 10.0ms (21.1% of total)

ival-sqrt: 10.0ms (21.1% of total)

ival-fma: 6.0ms (12.7% of total)

ival-hypot: 5.0ms (10.6% of total)

const: 3.0ms (6.3% of total)

ival-add: 1.0ms (2.1% of total)

backward-pass: 0.0ms (0% of total)

series69.0ms (0.6%)

Counts

15 → 276

Calls

Call 1

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

Outputs
#<alt (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))) (pow.f64 x #s(literal 2 binary64))))) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))))>
#<alt (.f64 x (+.f64 (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))))) (.f64 #s(literal 5/512 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 9 binary64)))) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (.f64 x (+.f64 (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -15/8192 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 13 binary64)))) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 5/512 binary64) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 9 binary64))))))))))))>
#<alt (sqrt.f64 x)>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (.f64 #s(literal 1/96 binary64) (+.f64 (.f64 #s(literal -192 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 384 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))))))))>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (.f64 #s(literal 1/96 binary64) (+.f64 (.f64 #s(literal -192 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 384 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 p #s(literal 6 binary64))) (+.f64 (.f64 #s(literal -1/96 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -192 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 384 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 1/2880 binary64) (+.f64 (.f64 #s(literal -46080 binary64) (pow.f64 p #s(literal 6 binary64))) (+.f64 (.f64 #s(literal -15360 binary64) (pow.f64 p #s(literal 6 binary64))) (.f64 #s(literal 46080 binary64) (pow.f64 p #s(literal 6 binary64)))))))))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/96 binary64) (+.f64 (.f64 #s(literal -192 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 384 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))))))) (.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))))>
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#<alt (sqrt.f64 #s(literal 2 binary64))>
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#<alt #s(literal 1 binary64)>
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#<alt #s(literal 1 binary64)>
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#<alt #s(literal 1/2 binary64)>
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#<alt #s(literal 1 binary64)>
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#<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)))))))>
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#<alt #s(literal 1 binary64)>
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#<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))))))>
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#<alt #s(literal 1/2 binary64)>
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#<alt #s(literal 1/2 binary64)>
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#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>
#<alt (*.f64 p x)>

Calls

78 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(+ (* (/ 1 (sqrt (sqrt (+ (* x x) (* (* 2 p) (* 2 p)))))) (/ x (sqrt (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))))) 1)
3.0ms	p	@	inf	(/ x (sqrt (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))))
2.0ms	x	@	0	(/ x (sqrt (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))))
2.0ms	x	@	inf	(/ x (sqrt (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))))
2.0ms	p	@	0	(/ x (sqrt (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))))

rewrite252.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

829×	`log1p-expm1-u`
226×	`expm1-log1p-u`
223×	`add-exp-log`
223×	`add-log-exp`
222×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	585
1	519	443
2	6998	443

Stop Event

1×	node limit

Counts

15 → 363

Calls

Call 1

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

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

simplify330.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

959×	`fma-define`
478×	`*-commutative`
425×	`distribute-lft-in`
422×	`distribute-rgt-in`
348×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1548	36461
1	4046	34166

Stop Event

1×	node limit

Counts

639 → 832

Calls

Call 1

Inputs
(.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) x))
(.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))) (pow.f64 x #s(literal 2 binary64))))) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))))
(.f64 x (+.f64 (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))))) (.f64 #s(literal 5/512 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 9 binary64)))) (pow.f64 x #s(literal 2 binary64)))))))))
(.f64 x (+.f64 (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -15/8192 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 13 binary64)))) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 5/512 binary64) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 9 binary64))))))))))))
(sqrt.f64 x)
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (.f64 #s(literal 1/96 binary64) (+.f64 (.f64 #s(literal -192 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 384 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (.f64 #s(literal 1/96 binary64) (+.f64 (.f64 #s(literal -192 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 384 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 p #s(literal 6 binary64))) (+.f64 (.f64 #s(literal -1/96 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -192 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 384 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 1/2880 binary64) (+.f64 (.f64 #s(literal -46080 binary64) (pow.f64 p #s(literal 6 binary64))) (+.f64 (.f64 #s(literal -15360 binary64) (pow.f64 p #s(literal 6 binary64))) (.f64 #s(literal 46080 binary64) (pow.f64 p #s(literal 6 binary64)))))))))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/96 binary64) (+.f64 (.f64 #s(literal -192 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 384 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))))))) (.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/96 binary64) (+.f64 (.f64 #s(literal -192 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 384 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))))))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 p #s(literal 6 binary64))) (+.f64 (.f64 #s(literal -1/96 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -192 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 384 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 1/2880 binary64) (+.f64 (.f64 #s(literal -46080 binary64) (pow.f64 p #s(literal 6 binary64))) (+.f64 (.f64 #s(literal -15360 binary64) (pow.f64 p #s(literal 6 binary64))) (.f64 #s(literal 46080 binary64) (pow.f64 p #s(literal 6 binary64))))))))))) (.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))
(+.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (.f64 #s(literal 5/2 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))))))
(+.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -15/2 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))))))) (.f64 #s(literal 5/2 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))))))
(.f64 x (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) p)))))))
(+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) p))))))) (pow.f64 p #s(literal 2 binary64)))) (.f64 x (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) p))))))))
(+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) p))))))) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (.f64 x (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) p))))))) (/.f64 (.f64 x (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) p)))))) (+.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/96 binary64) (+.f64 (.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 4 binary64)))))
(+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) p))))))) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (.f64 x (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) p))))))) (+.f64 (/.f64 (.f64 x (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) p)))))) (+.f64 (.f64 #s(literal -1/1536 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64)))))) (+.f64 (.f64 #s(literal -1/24576 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/2880 binary64) (+.f64 (.f64 #s(literal -45/4 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (.f64 #s(literal -15/4 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 45/4 binary64) (pow.f64 x #s(literal 6 binary64)))))))))) (pow.f64 p #s(literal 6 binary64))) (/.f64 (.f64 x (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) p)))))) (+.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/96 binary64) (+.f64 (.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 4 binary64))))))
(.f64 x (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) p)))))))
(+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) p))))))) (pow.f64 p #s(literal 2 binary64)))) (.f64 x (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) p))))))))
(+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) p))))))) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (.f64 x (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) p))))))) (/.f64 (.f64 x (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) p)))))) (+.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/96 binary64) (+.f64 (.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 4 binary64)))))
(+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) p))))))) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (.f64 x (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) p))))))) (+.f64 (/.f64 (.f64 x (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) p)))))) (+.f64 (.f64 #s(literal -1/1536 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64)))))) (+.f64 (.f64 #s(literal -1/24576 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/2880 binary64) (+.f64 (.f64 #s(literal -45/4 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (.f64 #s(literal -15/4 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 45/4 binary64) (pow.f64 x #s(literal 6 binary64)))))))))) (pow.f64 p #s(literal 6 binary64))) (/.f64 (.f64 x (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) p)))))) (+.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/96 binary64) (+.f64 (.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 4 binary64))))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))
(+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))) (pow.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p))))
(+.f64 (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))))) (.f64 #s(literal 5/512 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 9 binary64)))) (pow.f64 x #s(literal 2 binary64))))))))
(+.f64 (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -15/8192 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 13 binary64)))) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 5/512 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 9 binary64)))))))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
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(sqrt.f64 (pow.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/4 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x p))) #s(literal 1 binary64))
(pow.f64 (*.f64 x p) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x p)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x p) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x p)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x p) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) p))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x p))))
(cbrt.f64 (pow.f64 (*.f64 x p) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x p)))
(log1p.f64 (expm1.f64 (*.f64 x p)))
(exp.f64 (log.f64 (*.f64 x p)))
(exp.f64 (.f64 (log.f64 (.f64 x p)) #s(literal 1 binary64)))

Outputs
(.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) x))
(.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))) (pow.f64 x #s(literal 2 binary64))))) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))))
(.f64 x (fma.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))))
(.f64 x (fma.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) (.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))))) (.f64 #s(literal 5/512 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 9 binary64)))) (pow.f64 x #s(literal 2 binary64)))))))))
(.f64 x (fma.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64))))) (.f64 (.f64 #s(literal 5/512 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 9 binary64))))))))))
(.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64))))) (.f64 (.f64 #s(literal 5/512 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 9 binary64))))))) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))))
(.f64 x (+.f64 (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -15/8192 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 13 binary64)))) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 5/512 binary64) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 9 binary64))))))))))))
(.f64 x (fma.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -15/8192 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 13 binary64)))))) (.f64 (.f64 #s(literal 5/512 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 9 binary64)))))))))))
(.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -15/8192 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 13 binary64))))) (.f64 (.f64 #s(literal 5/512 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 9 binary64)))))) (.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))))) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))))
(sqrt.f64 x)
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (.f64 #s(literal 1/96 binary64) (+.f64 (.f64 #s(literal -192 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 384 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (fma.f64 #s(literal 1/96 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 192 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/2 binary64)))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (fma.f64 #s(literal 1/96 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 192 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (.f64 #s(literal 1/96 binary64) (+.f64 (.f64 #s(literal -192 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 384 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 p #s(literal 6 binary64))) (+.f64 (.f64 #s(literal -1/96 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -192 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 384 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 1/2880 binary64) (+.f64 (.f64 #s(literal -46080 binary64) (pow.f64 p #s(literal 6 binary64))) (+.f64 (.f64 #s(literal -15360 binary64) (pow.f64 p #s(literal 6 binary64))) (.f64 #s(literal 46080 binary64) (pow.f64 p #s(literal 6 binary64)))))))))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (fma.f64 #s(literal 1/96 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 192 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 p #s(literal 6 binary64)) (fma.f64 #s(literal -1/96 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 192 binary64))) (.f64 #s(literal 1/2880 binary64) (fma.f64 #s(literal -46080 binary64) (pow.f64 p #s(literal 6 binary64)) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 30720 binary64)))))))))))
(.f64 x (+.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 p #s(literal 6 binary64)) (fma.f64 #s(literal -1/96 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 192 binary64))) (.f64 #s(literal 1/2880 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -15360 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (fma.f64 #s(literal 1/96 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 192 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/2 binary64)))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(.f64 (-.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/96 binary64) (+.f64 (.f64 #s(literal -192 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 384 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))))))) (.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 (fma.f64 #s(literal 1/96 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 192 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))))
(.f64 (+.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 (fma.f64 #s(literal 1/96 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 192 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/96 binary64) (+.f64 (.f64 #s(literal -192 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 384 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))))))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 p #s(literal 6 binary64))) (+.f64 (.f64 #s(literal -1/96 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -192 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 384 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 1/2880 binary64) (+.f64 (.f64 #s(literal -46080 binary64) (pow.f64 p #s(literal 6 binary64))) (+.f64 (.f64 #s(literal -15360 binary64) (pow.f64 p #s(literal 6 binary64))) (.f64 #s(literal 46080 binary64) (pow.f64 p #s(literal 6 binary64))))))))))) (.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 (fma.f64 #s(literal 1/96 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 192 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 p #s(literal 6 binary64)) (fma.f64 #s(literal -1/96 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 192 binary64))) (.f64 #s(literal 1/2880 binary64) (fma.f64 #s(literal -46080 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 30720 binary64))))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))))
(.f64 (+.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 (fma.f64 #s(literal 1/96 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 192 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 p #s(literal 6 binary64)) (fma.f64 #s(literal -1/96 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 192 binary64))) (.f64 #s(literal 1/2880 binary64) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -15360 binary64)))))))) (neg.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))
(sqrt.f64 x)
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))
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#s(literal 1 binary64)
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(pow.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(expm1.f64 (log1p.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/4 binary64) x)))
(pow.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 1/4 binary64) x))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x))
(*.f64 #s(literal 1/4 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/4 binary64)))))
(*.f64 #s(literal 1/4 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/4 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/4 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/4 binary64) x)
(exp.f64 (log.f64 (*.f64 x #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/4 binary64) x)
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/4 binary64) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x p))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 p x)))
(pow.f64 (*.f64 x p) #s(literal 1 binary64))
(*.f64 p x)
(pow.f64 (cbrt.f64 (*.f64 x p)) #s(literal 3 binary64))
(*.f64 p x)
(pow.f64 (pow.f64 (*.f64 x p) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 p x)
(pow.f64 (sqrt.f64 (*.f64 x p)) #s(literal 2 binary64))
(*.f64 p x)
(sqrt.f64 (pow.f64 (*.f64 x p) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 p x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 p x))
(log.f64 (pow.f64 (exp.f64 x) p))
(*.f64 p x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x p))))
(*.f64 p x)
(cbrt.f64 (pow.f64 (*.f64 x p) #s(literal 3 binary64)))
(*.f64 p x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(*.f64 p x)
(cbrt.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 p x)
(expm1.f64 (log1p.f64 (*.f64 x p)))
(expm1.f64 (log1p.f64 (*.f64 p x)))
(log1p.f64 (expm1.f64 (*.f64 x p)))
(*.f64 p x)
(exp.f64 (log.f64 (*.f64 x p)))
(*.f64 p x)
(exp.f64 (.f64 (log.f64 (.f64 x p)) #s(literal 1 binary64)))
(*.f64 p x)

eval186.0ms (1.5%)

Compiler: Compiled 29734 to 4770 computations (84% saved)

prune422.0ms (3.5%)

Pruning

21 alts after pruning (10 fresh and 11 done)

	Pruned	Kept	Total
New	1018	3	1021
Fresh	1	7	8
Picked	1	4	5
Done	0	7	7
Total	1020	21	1041

Accuracy

100.0%

Counts

1041 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.1%	(pow.f64 (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
	53.1%	(pow.f64 (pow.f64 (/.f64 (.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
	30.5%	(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) p) x)
✓	30.5%	(/.f64 p (neg.f64 x))
✓	6.9%	(/.f64 p x)
	6.9%	(/.f64 #s(literal 1 binary64) (/.f64 x p))
	25.8%	(+.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)))))
	6.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) p)
✓	72.4%	(.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) x #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
✓	75.6%	(.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)))
	25.4%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
	48.5%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
	53.1%	(sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))))
✓	41.5%	(sqrt.f64 (.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) p) (.f64 x #s(literal 1/4 binary64))) (.f64 x p))))
	52.3%	(sqrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) x)))
✓	48.4%	(sqrt.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal 1/2 binary64) x))))
	72.4%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (hypot.f64 x (.f64 p #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64))))
✓	72.7%	(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))))
✓	76.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)))))
✓	34.6%	(sqrt.f64 #s(literal 1 binary64))
✓	52.4%	(sqrt.f64 #s(literal 1/2 binary64))

Compiler

Compiled 724 to 360 computations (50.3% saved)

regimes71.0ms (0.6%)

Counts

36 → 2

Calls

Call 1

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

Outputs

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

Calls

7 calls:

14.0ms	p
10.0ms	x
10.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
9.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
9.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))

Results

Accuracy	Segments	Branch
80.4%	3	`p`
83.9%	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))))`
79.3%	3	`(.f64 (.f64 #s(literal 4 binary64) p) p)`

Compiler

Compiled 80 to 56 computations (30% saved)

regimes31.0ms (0.3%)

Counts

28 → 2

Calls

Call 1

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

Outputs

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

(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))))

Calls

4 calls:

9.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
7.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
6.0ms	(.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))))))
6.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Results

Accuracy	Segments	Branch
99.9%	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)

regimes27.0ms (0.2%)

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.9%	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)

regimes7.0ms (0.1%)

Counts

20 → 2

Calls

Call 1

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

6.0ms

Results

Accuracy	Segments	Branch
83.9%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
6.0ms	p

Results

Accuracy	Segments	Branch
71.7%	2	`p`
68.3%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	p
2.0ms	x

Results

Accuracy	Segments	Branch
32.3%	2	`x`
30.5%	1	`p`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 p x)

Outputs
(/.f64 p x)

Calls

2 calls:

1.0ms	p
1.0ms	x

Results

Accuracy	Segments	Branch
6.9%	1	`p`
6.9%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999944007785	-0.9998132622304778

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999944007785	-0.9998132622304778

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999944007785	-0.9998132622304778

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch28.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	-5.201463297891142e-83	-2.0264413311829505e-84

Results

11.0ms	29×	2	valid
6.0ms	62×	0	valid
4.0ms	21×	1	valid

Compiler

Compiled 178 to 137 computations (23% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 5.0ms (37.8% of total)

ival-sqrt: 3.0ms (22.7% of total)

ival-div: 2.0ms (15.1% of total)

ival-add: 2.0ms (15.1% of total)

backward-pass: 1.0ms (7.6% of total)

const: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.8729123877909472e-35	2.3446900202810563e-35

Results

3.0ms	37×	0	valid
2.0ms	7×	2	valid
1.0ms	4×	1	valid

Compiler

Compiled 60 to 48 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (45.6% of total)

ival-sqrt: 1.0ms (22.8% of total)

ival-add: 1.0ms (22.8% of total)

const: 0.0ms (0% of total)

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

backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-3.6707341998280965e-149	5.114596594583181e-144

Results

23.0ms

240×

valid

Compiler

Compiled 219 to 153 computations (30.1% saved)

Precisions

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

ival-mult: 8.0ms (49.3% of total)

ival-sqrt: 3.0ms (18.5% of total)

ival-div: 2.0ms (12.3% of total)

ival-add: 2.0ms (12.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative`
6×	`+-commutative`
4×	`sub-neg`
3×	`1-exp`
3×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	4294967761
1	83	4294967761
2	91	4294967761
3	96	4294967761
4	98	4294967761

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -4503149267407759/4503599627370496 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 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 3/2 binary64)) #s(literal 1/3 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -4503149267407759/4503599627370496 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) p) x) (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)))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -4503149267407759/4503599627370496 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) p) x) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x))))))
(if (<=.f64 x #s(literal -546812681195753/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608 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 7482888383134223/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 x #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 p (neg.f64 x)) (/.f64 p x))
(/.f64 p x)

Outputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -4503149267407759/4503599627370496 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 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 3/2 binary64)) #s(literal 1/3 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -4503149267407759/4503599627370496 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) p) x) (pow.f64 (pow.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -4503149267407759/4503599627370496 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) p) x) (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)))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -4503149267407759/4503599627370496 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) p) x) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 p #s(literal 2 binary64)))) x #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -4503149267407759/4503599627370496 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) p) x) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -4503149267407759/4503599627370496 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) p) 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 x #s(literal -546812681195753/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608 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 -546812681195753/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608 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 7482888383134223/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 x #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 p (neg.f64 x)) (/.f64 p x))
(/.f64 p x)

soundness1.6s (13%)

Rules

802×	`log1p-expm1-u`
802×	`expm1-log1p-u`
675×	`*-commutative`
666×	`log-prod`
564×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1729	8589989152
1	4774	8589986498
0	20	211
1	269	158
2	3576	154
0	47	910
1	776	888
0	2216	4295024792
1	5979	4295023380

Stop Event

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

Compiler

Compiled 954 to 324 computations (66% saved)

preprocess61.0ms (0.5%)

Compiler: Compiled 496 to 218 computations (56% saved)

analyze700.0ms (5.8%)

sample3.3s (27%)

preprocess194.0ms (1.6%)

explain198.0ms (1.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize150.0ms (1.2%)

series32.0ms (0.3%)

rewrite360.0ms (3%)

simplify271.0ms (2.2%)

eval79.0ms (0.6%)

prune87.0ms (0.7%)

localize167.0ms (1.4%)

series96.0ms (0.8%)

rewrite318.0ms (2.6%)

simplify631.0ms (5.2%)

eval372.0ms (3.1%)

prune200.0ms (1.6%)

localize370.0ms (3.1%)

series159.0ms (1.3%)

rewrite197.0ms (1.6%)

simplify534.0ms (4.4%)

eval187.0ms (1.5%)

prune171.0ms (1.4%)

localize243.0ms (2%)

series69.0ms (0.6%)

rewrite252.0ms (2.1%)

simplify330.0ms (2.7%)

eval186.0ms (1.5%)

prune422.0ms (3.5%)

regimes71.0ms (0.6%)

regimes31.0ms (0.3%)

regimes27.0ms (0.2%)

regimes7.0ms (0.1%)

regimes14.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch28.0ms (0.2%)

bsearch10.0ms (0.1%)

bsearch34.0ms (0.3%)

simplify10.0ms (0.1%)

soundness1.6s (13%)

preprocess61.0ms (0.5%)

end0.0ms (0%)

Profiling