Metrics for Given's Rotation SVD example

analyze561.0ms (6.8%)

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: 311.0ms

ival-mult: 153.0ms (49.3% of total)

ival-sqrt: 46.0ms (14.8% of total)

ival-add: 31.0ms (10% of total)

ival-fabs: 24.0ms (7.7% of total)

ival-div: 23.0ms (7.4% of total)

ival-<: 23.0ms (7.4% of total)

const: 7.0ms (2.3% of total)

ival-and: 3.0ms (1% of total)

backward-pass: 1.0ms (0.3% of total)

sample2.7s (32%)

Results

1.3s	6251×	0	valid
609.0ms	1178×	2	valid
153.0ms	614×	1	valid
137.0ms	213×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-mult: 511.0ms (30.4% of total)

ival-sqrt: 305.0ms (18.1% of total)

ival-add: 294.0ms (17.5% of total)

ival-fabs: 223.0ms (13.2% of total)

ival-div: 131.0ms (7.8% of total)

ival-<: 126.0ms (7.5% of total)

backward-pass: 58.0ms (3.4% of total)

const: 26.0ms (1.5% of total)

ival-and: 10.0ms (0.6% of total)

Bogosity

preprocess191.0ms (2.3%)

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)

explain232.0ms (2.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
53	-	0	-	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`
33	-	3	(4.381049449202861e-237 -1.1901278856390565e-76)	`(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)))))))`
32	-	0	-	`(+.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

60.0ms	380×	0	valid
96.0ms	88×	2	valid
10.0ms	34×	1	valid
5.0ms	10×	3	valid

Compiler

Compiled 213 to 44 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 24.0ms (34.6% of total)

ival-sqrt: 15.0ms (21.6% of total)

ival-div: 13.0ms (18.8% of total)

ival-add: 10.0ms (14.4% of total)

backward-pass: 6.0ms (8.7% of total)

const: 2.0ms (2.9% 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
▶	77.7%	(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)

localize84.0ms (1%)

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 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
✓	accuracy	89.3%	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
✓	accuracy	88.7%	(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	80.8%	(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

24.0ms	190×	0	valid
21.0ms	44×	2	valid
5.0ms	17×	1	valid
3.0ms	5×	3	valid

Compiler

Compiled 97 to 15 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 11.0ms (40.8% of total)

ival-sqrt: 6.0ms (22.2% of total)

ival-add: 4.0ms (14.8% of total)

ival-div: 3.0ms (11.1% of total)

backward-pass: 3.0ms (11.1% of total)

const: 1.0ms (3.7% of total)

series130.0ms (1.6%)

Counts

7 → 120

Calls

Call 1

Inputs
#<alt (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 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))>
#<alt (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))>
#<alt (.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))))))>
#<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)))))))>
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#<alt (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -20 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x p))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x p)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) p)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) p)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))>
#<alt (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))>
#<alt (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/2048 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 7 binary64)))) (.f64 #s(literal 3/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -20 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x p))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x)) p)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x))) p)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)))) p)>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 x p))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) p))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) p))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x)))) p))>
#<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
103.0ms	p	@	0	(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
3.0ms	x	@	-inf	(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
2.0ms	x	@	inf	(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
1.0ms	p	@	-inf	(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
1.0ms	x	@	0	(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))

rewrite355.0ms (4.3%)

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	224
1	269	161
2	3577	157

Stop Event

1×	node limit

Counts

7 → 201

Calls

Call 1

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

simplify270.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

457×	`fma-define`
375×	`associate-r`
356×	`*-commutative`
333×	`fma-neg`
315×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	799	15286
1	2003	14688
2	6939	14652

Stop Event

1×	node limit

Counts

321 → 458

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) x)))
(+.f64 x (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 x (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) p)
(.f64 p (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))
(.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
(.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) p)
(.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
(*.f64 #s(literal 2 binary64) p)
(+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) p)) (.f64 #s(literal 2 binary64) p))
(+.f64 (.f64 #s(literal 2 binary64) p) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 (.f64 #s(literal 2 binary64) p) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))))))
(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)))))
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(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 p (neg.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
(neg.f64 (.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
(.f64 p (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
(neg.f64 (.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
(.f64 p (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) p)
(+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) p)) (.f64 #s(literal 2 binary64) p))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) p) (*.f64 #s(literal 2 binary64) p))
(fma.f64 #s(literal 2 binary64) p (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) p))
(+.f64 (.f64 #s(literal 2 binary64) p) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
(fma.f64 #s(literal 2 binary64) p (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) p))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) p)) (*.f64 #s(literal 2 binary64) p))
(+.f64 (.f64 #s(literal 2 binary64) p) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
(fma.f64 #s(literal 2 binary64) p (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (/.f64 #s(literal 1/64 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) p))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/64 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) p)) (*.f64 #s(literal 2 binary64) p))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
(.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))))))
(.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 x (neg.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)))))))))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 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)))))
(fma.f64 x (fma.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))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal -3/128 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal -3/128 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal -3/128 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
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#s(literal 1 binary64)
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(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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#s(literal 1 binary64)
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(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
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#s(literal 1 binary64)
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(-.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))

eval188.0ms (2.3%)

Compiler: Compiled 12452 to 2644 computations (78.8% saved)

prune315.0ms (3.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	449	9	458
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	450	9	459

Accuracy

99.8%

Counts

459 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.7%	(.f64 (neg.f64 p) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
	14.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))
▶	77.7%	(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)))))
▶	5.9%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
▶	16.8%	(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))))))
	37.5%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
▶	53.3%	(sqrt.f64 #s(literal 1/2 binary64))
▶	27.6%	(neg.f64 (/.f64 (.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))

Compiler

Compiled 214 to 170 computations (20.6% saved)

localize472.0ms (5.7%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 p #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
✓	cost-diff	256	(.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)))))
✓	cost-diff	13184	(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))))))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x)
✓	cost-diff	0	(neg.f64 (/.f64 (.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
✓	cost-diff	256	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
✓	cost-diff	256	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
✓	cost-diff	0	(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)))
✓	accuracy	100.0%	(.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)))))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
✓	accuracy	91.4%	(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	60.0%	(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))))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(neg.f64 (/.f64 (.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
✓	accuracy	98.4%	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
✓	accuracy	100.0%	(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	89.3%	(+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (*.f64 #s(literal 2 binary64) p) x)))
✓	accuracy	88.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)))))

Rules

622×	`associate-*r/`
590×	`neg-mul-1`
539×	`fma-define`
473×	`associate-*l/`
453×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	489
1	71	471
2	159	451
3	437	451
4	1254	451
5	2082	451
6	3732	451
7	4562	451
8	5184	451
9	5724	451
10	7115	451

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)))))
(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)))
(.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 1/2 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x))))
(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 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 x (*.f64 #s(literal 2 binary64) p))))
#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
(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) #s(literal -1 binary64))))
(sqrt.f64 #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(neg.f64 (/.f64 (.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(/.f64 (.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x))
(.f64 p (neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)))
(.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(.f64 p (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))))
(/.f64 (.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x)
(.f64 p (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))
(.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 p (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 p (sqrt.f64 #s(literal 2 binary64))))
p
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fabs.f64 (/.f64 p x))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 p #s(literal 2 binary64))
p
(pow.f64 x #s(literal 2 binary64))
x

Results

136.0ms	190×	0	valid
38.0ms	37×	2	valid
21.0ms	29×	1	valid

Compiler

Compiled 163 to 28 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-mult: 79.0ms (58.2% of total)

ival-pow: 16.0ms (11.8% of total)

ival-sqrt: 12.0ms (8.8% of total)

ival-div: 8.0ms (5.9% of total)

ival-hypot: 7.0ms (5.2% of total)

backward-pass: 7.0ms (5.2% of total)

ival-add: 4.0ms (2.9% of total)

ival-neg: 3.0ms (2.2% of total)

const: 1.0ms (0.7% of total)

series44.0ms (0.5%)

Counts

20 → 192

Calls

Call 1

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

75 calls:

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

rewrite243.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

883×	`log1p-expm1-u`
531×	`prod-diff`
179×	`expm1-log1p-u`
176×	`add-cube-cbrt`
175×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	335
1	499	305
2	5481	305

Stop Event

1×	node limit

Counts

20 → 609

Calls

Call 1

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

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

simplify301.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

654×	`fma-define`
499×	`associate-*r/`
332×	`*-commutative`
267×	`distribute-rgt-in`
265×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1242	26393
1	3069	25587

Stop Event

1×	node limit

Counts

801 → 784

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))
(.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))
(.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))
(.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))
(*.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 (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)))))))
(+.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)))))))))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 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)))))))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/32 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)))
(+.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)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
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(pow.f64 (cbrt.f64 p) #s(literal 3 binary64))
(pow.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 p) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 p #s(literal 2 binary64)))
(fabs.f64 p)
(log.f64 (exp.f64 p))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 p)))
(cbrt.f64 (pow.f64 p #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 p))
(log1p.f64 (expm1.f64 p))
(exp.f64 (log.f64 p))
(exp.f64 (*.f64 (log.f64 p) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 p #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64)))
(*.f64 p p)
(*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 p #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (.f64 (cbrt.f64 p) p))
(*.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)))
(.f64 (sqrt.f64 p) (.f64 (sqrt.f64 p) p))
(.f64 (.f64 p (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p))
(.f64 (pow.f64 (.f64 p (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 p (sqrt.f64 p)) (sqrt.f64 p))
(.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 p (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 p))
(.f64 (.f64 p (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 p #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 p #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 p #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 p #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 p #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 p)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 p)) #s(literal 1 binary64)))

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

eval115.0ms (1.4%)

Compiler: Compiled 16364 to 3468 computations (78.8% saved)

prune113.0ms (1.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	793	11	804
Fresh	3	1	4
Picked	3	2	5
Done	0	0	0
Total	799	14	813

Accuracy

100.0%

Counts

813 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.0%	(/.f64 (neg.f64 p) x)
	6.1%	(/.f64 p x)
	6.1%	(/.f64 #s(literal 1 binary64) (/.f64 x p))
▶	27.5%	(/.f64 #s(literal -1 binary64) (/.f64 x p))
	6.1%	(*.f64 (/.f64 #s(literal 1 binary64) x) p)
▶	27.9%	(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
	14.0%	(sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
	28.3%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x p) #s(literal -2 binary64))))
▶	48.5%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
✓	77.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)))))
	37.5%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
✓	53.3%	(sqrt.f64 #s(literal 1/2 binary64))
	26.1%	(neg.f64 (/.f64 (exp.f64 (log.f64 p)) x))
▶	5.9%	#s(literal 0 binary64)

Compiler

Compiled 214 to 161 computations (24.8% saved)

localize86.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 22 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(neg.f64 p)
✓	cost-diff	128	(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 x p)
✓	cost-diff	64	(/.f64 #s(literal -1 binary64) (/.f64 x p))
✓	cost-diff	0	(neg.f64 p)
✓	cost-diff	0	(/.f64 (neg.f64 p) x)
✓	cost-diff	-6272	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
✓	cost-diff	-6272	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
✓	cost-diff	0	(/.f64 x p)
✓	cost-diff	0	(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(neg.f64 p)
✓	accuracy	99.8%	(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 x p)
✓	accuracy	98.9%	(/.f64 #s(literal -1 binary64) (/.f64 x p))
✓	accuracy	100.0%	(/.f64 (neg.f64 p) x)
✓	accuracy	100.0%	(neg.f64 p)
✓	accuracy	100.0%	(/.f64 x p)
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
✓	accuracy	95.9%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))

Rules

75×	`fma-define`
16×	`fma-neg`
14×	`sub-neg`
11×	`*-commutative`
11×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	213
1	41	205
2	69	205
3	105	205
4	146	205
5	187	205
6	221	205
7	261	205
8	278	205
9	320	205
10	323	205

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
#s(literal 1/4 binary64)
(/.f64 x p)
x
p
#s(literal 0 binary64)
(/.f64 (neg.f64 p) x)
(neg.f64 p)
p
x
(/.f64 #s(literal -1 binary64) (/.f64 x p))
#s(literal -1 binary64)
(/.f64 x p)
x
p
(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
(neg.f64 p)
p
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Outputs
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
(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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(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))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
#s(literal 1/4 binary64)
(/.f64 x p)
x
p
#s(literal 0 binary64)
(/.f64 (neg.f64 p) x)
(/.f64 p (neg.f64 x))
(neg.f64 p)
p
x
(/.f64 #s(literal -1 binary64) (/.f64 x p))
(/.f64 (neg.f64 p) x)
(/.f64 p (neg.f64 x))
#s(literal -1 binary64)
(/.f64 x p)
x
p
(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 p) x)
(/.f64 p (neg.f64 x))
(neg.f64 p)
p
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Results

31.0ms	189×	0	valid
10.0ms	67×	0	invalid

Compiler

Compiled 64 to 17 computations (73.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 9.0ms (47.6% of total)

ival-mult: 4.0ms (21.1% of total)

ival-sqrt: 3.0ms (15.9% of total)

ival-add: 1.0ms (5.3% of total)

const: 1.0ms (5.3% of total)

ival-neg: 1.0ms (5.3% of total)

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

series21.0ms (0.2%)

Counts

9 → 123

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite190.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

947×	`log1p-expm1-u`
947×	`expm1-log1p-u`
160×	`expm1-undefine`
160×	`log1p-undefine`
138×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	155
1	275	131
2	3708	131

Stop Event

1×	node limit

Counts

9 → 353

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p)) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))) #s(literal 1 binary64))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 #s(literal 1 binary64) (/.f64 p (*.f64 #s(literal 1/4 binary64) x)))
(/.f64 (*.f64 #s(literal 1/4 binary64) x) p)
(/.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) x)) p)
(/.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 x)) p)
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/4 binary64)) p)
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64)) p)
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 p))
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) (sqrt.f64 p)) (sqrt.f64 p))
(pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x p))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 x p)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x p))) #s(literal 1 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
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(*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (/.f64 (cbrt.f64 p) x))
(.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (.f64 (cbrt.f64 p) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 p x)) (sqrt.f64 (/.f64 p x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 p (sqrt.f64 x)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) p))
(*.f64 (sqrt.f64 p) (/.f64 (sqrt.f64 p) x))
(.f64 (sqrt.f64 p) (.f64 (sqrt.f64 p) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) p)
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 p (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 p (sqrt.f64 x)))
(*.f64 (/.f64 p (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 p (cbrt.f64 x)))
(*.f64 (/.f64 p (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 p) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 p x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 p) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 p) #s(literal 1 binary64)) (/.f64 (sqrt.f64 p) x))
(*.f64 (/.f64 (sqrt.f64 p) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 p) (cbrt.f64 x)))
(*.f64 (/.f64 p #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) p)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 p))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 p)) (sqrt.f64 p))
(.f64 (.f64 p (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 p (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) p)
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 p))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 p)) (sqrt.f64 p))
(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 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 0 binary64) (/.f64 p x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 p x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 p x))
(/.f64 p x)
(/.f64 p (neg.f64 x))
(/.f64 p (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 x p))
(/.f64 #s(literal 1 binary64) (/.f64 x p))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) p))
(/.f64 (sqrt.f64 (/.f64 p x)) (sqrt.f64 (/.f64 x p)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) p))
(/.f64 (/.f64 p (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 p (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 p #s(literal 1 binary64)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x p)))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x p)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x p))) (sqrt.f64 (/.f64 x p)))
(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 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))

simplify233.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

420×	`exp-prod`
406×	`associate-r`
374×	`cube-prod`
341×	`associate-/r*`
334×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	668	11203
1	1395	10856
2	5799	10356

Stop Event

1×	node limit

Counts

476 → 399

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 1/2 binary64))
(+.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))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 x (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal 1/1024 binary64) (/.f64 x (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x p)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))))))
(.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))))))
(.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 x p)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/128 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x p)))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 p x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) x)))) p)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 p x))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))))))) p)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 p x))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x)))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p (pow.f64 x #s(literal 5 binary64))))))))))) p)
(sqrt.f64 #s(literal 1/2 binary64))
(+.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))))))
(+.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)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))
(sqrt.f64 #s(literal 1/2 binary64))
(+.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))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.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)))))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 p (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))))) p)) (.f64 #s(literal -1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 #s(literal 1/2 binary64) p)) p)
(/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 #s(literal 1/2 binary64) p)) p)
(/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 #s(literal 1/2 binary64) p)) p)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
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(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))

Outputs
(sqrt.f64 #s(literal 1/2 binary64))
(+.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))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 x (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 x (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 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(fma.f64 x (fma.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 x (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal 1/1024 binary64) (/.f64 x (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/1024 binary64) (/.f64 (/.f64 x (pow.f64 p #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/128 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 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/1024 binary64) (/.f64 (/.f64 x (pow.f64 p #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -1/128 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x p)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))))))
(.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) p) x)) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x p))) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) x))
(.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))))))
(.f64 x (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) p) x)) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p))) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))))
(.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))))))))
(.f64 x (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) p) x)) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))))))))
(.f64 x (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p))) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 x p)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))
(.f64 (neg.f64 (sqrt.f64 (/.f64 x p))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))
(.f64 (sqrt.f64 (/.f64 x p)) (neg.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))
(.f64 (neg.f64 x) (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) p) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) #s(literal 1/4 binary64)))) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) p) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))
(.f64 x (neg.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) #s(literal 1/4 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/128 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/128 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) p) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))))
(.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))))) (fma.f64 #s(literal 1/128 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) #s(literal 1/4 binary64)))))) (neg.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x p)))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 p x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) x)))) p)
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 x p)) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) x)))) p)
(.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (sqrt.f64 (.f64 x p)) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) x))) p))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 p x))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))))))) p)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x p)) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) p) x)))))) p)
(/.f64 (fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p))) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/4 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x p)))) p)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 p x))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x)))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p (pow.f64 x #s(literal 5 binary64))))))))))) p)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x p)) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) p) x)) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p (pow.f64 x #s(literal 5 binary64))))))))))) p)
(/.f64 (fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p (pow.f64 x #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x p)))) p)
(sqrt.f64 #s(literal 1/2 binary64))
(+.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))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.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)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 x (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 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(fma.f64 x (fma.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 x (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.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)))) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (/.f64 (.f64 #s(literal 1/8 binary64) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(+.f64 (fma.f64 x (fma.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 x (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))))
(sqrt.f64 #s(literal 1/2 binary64))
(+.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))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
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(*.f64 (/.f64 (sqrt.f64 p) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 p) (cbrt.f64 x)))
(/.f64 p x)
(*.f64 (/.f64 p #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 p x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) p)
(/.f64 p (neg.f64 x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 p))
(/.f64 p x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 p)) (sqrt.f64 p))
(/.f64 p x)
(.f64 (.f64 p (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 p (cbrt.f64 x)))
(*.f64 p (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 x)))
(.f64 (.f64 p (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 p x)
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) p)
(/.f64 p (neg.f64 x))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 p))
(/.f64 p (neg.f64 x))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 p)) (sqrt.f64 p))
(/.f64 p (neg.f64 x))
(pow.f64 (/.f64 p x) #s(literal 1 binary64))
(/.f64 p x)
(pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 3 binary64))
(/.f64 p x)
(pow.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 p x)
(pow.f64 (sqrt.f64 (/.f64 p x)) #s(literal 2 binary64))
(/.f64 p x)
(pow.f64 (/.f64 x p) #s(literal -1 binary64))
(/.f64 p x)
(neg.f64 (/.f64 p x))
(/.f64 p (neg.f64 x))
(sqrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
(/.f64 p x)
(log.f64 (exp.f64 (/.f64 p x)))
(/.f64 p x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 p x))))
(/.f64 p x)
(cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
(/.f64 p x)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x) #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 p x)))
(log1p.f64 (expm1.f64 (/.f64 p x)))
(/.f64 p x)
(exp.f64 (log.f64 (/.f64 p x)))
(/.f64 p x)
(exp.f64 (*.f64 (log.f64 (/.f64 p x)) #s(literal 1 binary64)))
(/.f64 p x)
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 p x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 p x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 p x)
(/.f64 p (neg.f64 x))
(/.f64 p (neg.f64 (neg.f64 x)))
(/.f64 p x)
(/.f64 #s(literal -1 binary64) (/.f64 x p))
(/.f64 p (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x p))
(/.f64 p x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) p))
(/.f64 p (neg.f64 x))
(/.f64 (sqrt.f64 (/.f64 p x)) (sqrt.f64 (/.f64 x p)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) p))
(/.f64 p x)
(/.f64 (/.f64 p (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 p x)
(/.f64 (/.f64 p (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 p x)
(/.f64 (/.f64 p #s(literal 1 binary64)) x)
(/.f64 p x)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x p)))
(/.f64 p x)
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x p)))
(/.f64 p (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x p))) (sqrt.f64 (/.f64 x p)))
(/.f64 p (neg.f64 x))
(pow.f64 (/.f64 p x) #s(literal 1 binary64))
(/.f64 p x)
(pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 3 binary64))
(/.f64 p x)
(pow.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 p x)
(pow.f64 (sqrt.f64 (/.f64 p x)) #s(literal 2 binary64))
(/.f64 p x)
(pow.f64 (/.f64 x p) #s(literal -1 binary64))
(/.f64 p x)
(neg.f64 (/.f64 p x))
(/.f64 p (neg.f64 x))
(sqrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
(/.f64 p x)
(log.f64 (exp.f64 (/.f64 p x)))
(/.f64 p x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 p x))))
(/.f64 p x)
(cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
(/.f64 p x)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x) #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 p x)))
(log1p.f64 (expm1.f64 (/.f64 p x)))
(/.f64 p x)
(exp.f64 (log.f64 (/.f64 p x)))
(/.f64 p x)
(exp.f64 (*.f64 (log.f64 (/.f64 p x)) #s(literal 1 binary64)))
(/.f64 p x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) x)
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) x)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (neg.f64 (log.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)

eval60.0ms (0.7%)

Compiler: Compiled 6332 to 1369 computations (78.4% saved)

prune72.0ms (0.9%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	486	4	490
Fresh	0	7	7
Picked	1	4	5
Done	0	2	2
Total	487	17	504

Accuracy

100.0%

Counts

504 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) p))
	6.1%	(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) p))
✓	28.0%	(/.f64 (neg.f64 p) x)
▶	6.1%	(/.f64 p x)
	6.1%	(/.f64 #s(literal 1 binary64) (/.f64 x p))
✓	27.5%	(/.f64 #s(literal -1 binary64) (/.f64 x p))
▶	6.1%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) p) x))
▶	6.1%	(*.f64 (/.f64 #s(literal 1 binary64) x) p)
	27.9%	(*.f64 (/.f64 #s(literal -1 binary64) x) p)
	14.0%	(sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
	28.3%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x p) #s(literal -2 binary64))))
✓	48.5%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
✓	77.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)))))
▶	37.5%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
✓	53.3%	(sqrt.f64 #s(literal 1/2 binary64))
	26.1%	(neg.f64 (/.f64 (exp.f64 (log.f64 p)) x))
✓	5.9%	#s(literal 0 binary64)

Compiler

Compiled 240 to 177 computations (26.3% saved)

localize100.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 22 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) p)
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	192	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) p))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) p)
✓	cost-diff	64	(*.f64 (/.f64 #s(literal -1 binary64) p) x)
✓	cost-diff	256	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) p) x))
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) x) p)
✓	cost-diff	0	(/.f64 p x)
✓	cost-diff	128	(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
✓	cost-diff	6528	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) p)
✓	accuracy	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) p))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) p)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal -1 binary64) p) x)
✓	accuracy	98.4%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) p) x))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) x) p)
✓	accuracy	100.0%	(/.f64 p x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))

Rules

67×	`fma-define`
38×	`div-sub`
36×	`associate-*r/`
36×	`associate-/r*`
30×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	163
1	37	155
2	57	153
3	125	153
4	246	153
5	422	153
6	489	153
7	566	153
8	615	153
9	625	153

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

45.0ms

256×

valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 13.0ms (58.2% of total)

ival-mult: 6.0ms (26.8% of total)

ival-sqrt: 2.0ms (8.9% of total)

const: 1.0ms (4.5% of total)

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

series8.0ms (0.1%)

Counts

8 → 96

Calls

Call 1

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

Outputs
#<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)>
#<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)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>

Calls

33 calls:

Time	Variable		Point	Expression
0.0ms	p	@	0	(/ -1 p)
0.0ms	x	@	0	(* (/ -1 p) x)
0.0ms	p	@	0	(* (/ -1 p) x)
0.0ms	p	@	inf	(/ -1 p)
0.0ms	p	@	0	(/ -1 (* (/ -1 p) x))

rewrite125.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

729×	`log1p-expm1-u`
729×	`expm1-log1p-u`
465×	`log-prod`
283×	`pow-unpow`
167×	`log-div`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	83
1	228	77
2	3067	77

Stop Event

1×	node limit

Counts

8 → 383

Calls

Call 1

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

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

simplify168.0ms (2%)

Algorithm

1×	egg-herbie

Rules

818×	`fma-neg`
608×	`exp-prod`
287×	`fma-define`
287×	`associate-/r/`
272×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	377	9197
1	706	8993
2	2204	8991
3	6628	8991

Stop Event

1×	node limit

Counts

479 → 209

Calls

Call 1

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

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

eval34.0ms (0.4%)

Compiler: Compiled 2865 to 657 computations (77.1% saved)

prune57.0ms (0.7%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	301	1	302
Fresh	2	4	6
Picked	5	0	5
Done	1	5	6
Total	309	10	319

Accuracy

100.0%

Counts

319 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.0%	(/.f64 (neg.f64 p) x)
	27.9%	(*.f64 (/.f64 #s(literal -1 binary64) x) p)
	14.0%	(sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
	28.3%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x p) #s(literal -2 binary64))))
✓	48.5%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
✓	77.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)))))
✓	53.3%	(sqrt.f64 #s(literal 1/2 binary64))
	26.1%	(neg.f64 (/.f64 (exp.f64 (log.f64 p)) x))
	37.5%	#s(literal 1 binary64)
✓	5.9%	#s(literal 0 binary64)

Compiler

Compiled 291 to 155 computations (46.7% saved)

regimes50.0ms (0.6%)

Counts

26 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 p x)
(/.f64 (neg.f64 p) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) p)
(*.f64 (/.f64 #s(literal 1 binary64) x) p)
(/.f64 #s(literal -1 binary64) (/.f64 x p))
(/.f64 #s(literal 1 binary64) (/.f64 x p))
(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) p) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) p))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) p))
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(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 (.f64 #s(literal 2 binary64) p)))))
(neg.f64 (/.f64 (exp.f64 (log.f64 p)) x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x p) #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)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 (.f64 #s(literal 2 binary64) p) x)))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(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)))))

Outputs
(/.f64 (neg.f64 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

7 calls:

8.0ms	x
7.0ms	p
7.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
7.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
6.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))

Results

Accuracy	Segments	Branch
77.7%	1	`p`
88.8%	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))))`
77.7%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`

Compiler

Compiled 80 to 56 computations (30% saved)

regimes16.0ms (0.2%)

Counts

21 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 p x)
(/.f64 (neg.f64 p) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) p)
(*.f64 (/.f64 #s(literal 1 binary64) x) p)
(/.f64 #s(literal -1 binary64) (/.f64 x p))
(/.f64 #s(literal 1 binary64) (/.f64 x p))
(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) p) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) p))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) p))
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(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 (.f64 #s(literal 2 binary64) p)))))
(neg.f64 (/.f64 (exp.f64 (log.f64 p)) x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x p) #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)))

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

Calls

2 calls:

8.0ms	x
6.0ms	p

Results

Accuracy	Segments	Branch
72.0%	3	`p`
74.4%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 p x)
(/.f64 (neg.f64 p) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) p)
(*.f64 (/.f64 #s(literal 1 binary64) x) p)
(/.f64 #s(literal -1 binary64) (/.f64 x p))
(/.f64 #s(literal 1 binary64) (/.f64 x p))
(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) p) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) p))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) p))

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

Calls

2 calls:

5.0ms	x
4.0ms	p

Results

Accuracy	Segments	Branch
37.5%	1	`p`
59.9%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 p x)

Outputs
#s(literal 0 binary64)
#s(literal 1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
39.3%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	p

Results

Accuracy	Segments	Branch
5.9%	1	`p`
5.9%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999995747241	-2.5269753956294025e-21

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	2115.9783806968685	8040121.604898544
20.0ms	-1.543356282520133e-35	-3.594849920939379e-36

Results

10.0ms	89×	0	valid
9.0ms	31×	2	valid
2.0ms	8×	1	valid

Compiler

Compiled 114 to 96 computations (15.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 6.0ms (39.6% of total)

ival-sqrt: 4.0ms (26.4% of total)

ival-div: 2.0ms (13.2% of total)

ival-add: 2.0ms (13.2% of total)

backward-pass: 1.0ms (6.6% of total)

const: 0.0ms (0% of total)

bsearch32.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-1.588810048087815e-105	-2.5745592495674664e-113

Results

9.0ms	93×	0	valid
9.0ms	31×	2	valid
6.0ms	20×	1	valid

Compiler

Compiled 123 to 99 computations (19.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 8.0ms (46.5% of total)

ival-sqrt: 3.0ms (17.5% of total)

ival-div: 2.0ms (11.6% of total)

ival-add: 2.0ms (11.6% of total)

backward-pass: 1.0ms (5.8% of total)

const: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	-4.977628651192569e+62	-1.1695736245237664e+58

Results

5.0ms	56×	0	valid
14.0ms	44×	2	valid
4.0ms	22×	1	valid
2.0ms	6×	3	valid

Compiler

Compiled 88 to 82 computations (6.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 7.0ms (37.4% of total)

ival-sqrt: 5.0ms (26.7% of total)

ival-add: 3.0ms (16% of total)

ival-div: 2.0ms (10.7% of total)

backward-pass: 2.0ms (10.7% of total)

const: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative`
5×	`+-commutative`
3×	`sub-neg`
3×	`1-exp`
3×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	211
1	61	211
2	67	211
3	72	211
4	75	211
5	76	211

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 (neg.f64 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 -5612166287350667/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 (neg.f64 p) x) (if (<=.f64 x #s(literal 200000 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1126397063236581/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216 binary64)) (/.f64 (neg.f64 p) x) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -69999999999999994673039854912731469364597688959069784637440 binary64)) #s(literal 0 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)

Outputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 (neg.f64 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 -1/2 binary64)) (/.f64 (neg.f64 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 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1/2 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 x #s(literal -5612166287350667/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 (neg.f64 p) x) (if (<=.f64 x #s(literal 200000 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -5612166287350667/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 x #s(literal 200000 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1126397063236581/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216 binary64)) (/.f64 (neg.f64 p) x) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -1126397063236581/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216 binary64)) (/.f64 p (neg.f64 x)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -69999999999999994673039854912731469364597688959069784637440 binary64)) #s(literal 0 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)

soundness636.0ms (7.7%)

Rules

883×	`log1p-expm1-u`
802×	`log1p-expm1-u`
802×	`expm1-log1p-u`
729×	`log1p-expm1-u`
729×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	335
1	499	305
2	5481	305
0	20	224
1	269	161
2	3577	157
0	1242	26393
1	3069	25587
0	21	83
1	228	77
2	3067	77

Stop Event

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

Compiler

Compiled 248 to 132 computations (46.8% saved)

preprocess60.0ms (0.7%)

Compiler: Compiled 264 to 172 computations (34.8% saved)

Iter	Nodes	Cost
0	22	213
1	41	205
2	69	205
3	105	205
4	146	205
5	187	205
6	221	205
7	261	205
8	278	205
9	320	205
10	323	205

Iter	Nodes	Cost
0	21	163
1	37	155
2	57	153
3	125	153
4	246	153
5	422	153
6	489	153
7	566	153
8	615	153
9	625	153

Iter	Nodes	Cost
0	22	213
1	41	205
2	69	205
3	105	205
4	146	205
5	187	205
6	221	205
7	261	205
8	278	205
9	320	205
10	323	205

Iter	Nodes	Cost
0	21	163
1	37	155
2	57	153
3	125	153
4	246	153
5	422	153
6	489	153
7	566	153
8	615	153
9	625	153

analyze561.0ms (6.8%)

sample2.7s (32%)

preprocess191.0ms (2.3%)

explain232.0ms (2.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize84.0ms (1%)

series130.0ms (1.6%)

rewrite355.0ms (4.3%)

simplify270.0ms (3.2%)

eval188.0ms (2.3%)

prune315.0ms (3.8%)

localize472.0ms (5.7%)

series44.0ms (0.5%)

rewrite243.0ms (2.9%)

simplify301.0ms (3.6%)

eval115.0ms (1.4%)

prune113.0ms (1.4%)

localize86.0ms (1%)

series21.0ms (0.2%)

rewrite190.0ms (2.3%)

simplify233.0ms (2.8%)

eval60.0ms (0.7%)

prune72.0ms (0.9%)

localize100.0ms (1.2%)

series8.0ms (0.1%)

rewrite125.0ms (1.5%)

simplify168.0ms (2%)

eval34.0ms (0.4%)

prune57.0ms (0.7%)

regimes50.0ms (0.6%)

regimes16.0ms (0.2%)

regimes10.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch28.0ms (0.3%)

bsearch32.0ms (0.4%)

bsearch35.0ms (0.4%)

simplify7.0ms (0.1%)

soundness636.0ms (7.7%)

preprocess60.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	213
1	41	205
2	69	205
3	105	205
4	146	205
5	187	205
6	221	205
7	261	205
8	278	205
9	320	205
10	323	205

Iter	Nodes	Cost
0	21	163
1	37	155
2	57	153
3	125	153
4	246	153
5	422	153
6	489	153
7	566	153
8	615	153
9	625	153