Metrics for Given's Rotation SVD example

analyze769.0ms (8.8%)

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: 507.0ms

ival-mult: 251.0ms (49.6% of total)

ival-<: 132.0ms (26.1% of total)

ival-sqrt: 43.0ms (8.5% of total)

ival-add: 31.0ms (6.1% of total)

ival-div: 22.0ms (4.3% of total)

ival-fabs: 18.0ms (3.6% of total)

const: 6.0ms (1.2% of total)

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

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

sample3.0s (34.4%)

Results

1.2s	6186×	0	valid
457.0ms	1205×	2	valid
140.0ms	648×	1	valid
120.0ms	217×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-mult: 603.0ms (38.7% of total)

ival-sqrt: 311.0ms (19.9% of total)

ival-add: 292.0ms (18.7% of total)

ival-div: 119.0ms (7.6% of total)

ival-<: 69.0ms (4.4% of total)

ival-fabs: 65.0ms (4.2% of total)

backward-pass: 64.0ms (4.1% of total)

const: 26.0ms (1.7% of total)

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

Bogosity

preprocess201.0ms (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)

explain374.0ms (4.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
68	-	0	-	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`
34	-	1	(1.9564804517746433e-92 -4.226113401196177e+68)	`(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)))))))`
31	-	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

48.0ms	376×	0	valid
33.0ms	76×	2	valid
16.0ms	50×	1	valid
6.0ms	10×	3	valid

Compiler

Compiled 213 to 44 computations (79.3% saved)

Precisions

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

ival-mult: 22.0ms (39.7% of total)

ival-sqrt: 11.0ms (19.9% of total)

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

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

backward-pass: 6.0ms (10.8% of total)

const: 2.0ms (3.6% of total)

eval1.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.8%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Compiler

Compiled 19 to 14 computations (26.3% saved)

localize105.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(*.f64 #s(literal 4 binary64) p)
✓	cost-diff	0	(.f64 (.f64 #s(literal 4 binary64) p) p)
✓	accuracy	100.0%	(.f64 #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	88.8%	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
✓	accuracy	88.2%	(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)))))))
✓	accuracy	75.3%	(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

28.0ms	188×	0	valid
15.0ms	38×	2	valid
6.0ms	25×	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: 29.0ms

ival-mult: 12.0ms (41.4% of total)

ival-sqrt: 6.0ms (20.7% of total)

ival-add: 4.0ms (13.8% of total)

ival-div: 3.0ms (10.3% of total)

backward-pass: 3.0ms (10.3% of total)

const: 1.0ms (3.4% of total)

series39.0ms (0.4%)

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

Outputs
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) x)))>
#<alt (+.f64 x (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 x (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) p)>
#<alt (.f64 p (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))>
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#<alt (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -20 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x p))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x p)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) p)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) p)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -10 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 x p))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 x p)))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x)) p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x))) p)))>
#<alt (*.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
4.0ms	p	@	-inf	(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
4.0ms	p	@	-inf	(* (* 4 p) p)
3.0ms	x	@	-inf	(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	p	@	0	(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))

rewrite289.0ms (3.3%)

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	236
1	269	173
2	3577	165

Stop Event

1×	node limit

Counts

7 → 193

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 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
(.f64 (.f64 #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))))))))
(pow.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))
(fabs.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
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(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) (/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) (neg.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) (/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) (fma.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) (-.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) (-.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (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))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) (.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (.f64 (cbrt.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) (cbrt.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))))) (cbrt.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) (sqrt.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))))) (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) p))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 p) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 p) #s(literal 4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 p) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 p) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 p) #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) p))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) p) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) p)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) p) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 p)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 p) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) p))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) p) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) p)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) p)))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) p)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) p)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))

simplify250.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

467×	`fma-define`
380×	`*-commutative`
377×	`associate-r`
303×	`associate-l`
271×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	842	15676
1	2138	14988
2	7195	14944

Stop Event

1×	node limit

Counts

313 → 450

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

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

eval124.0ms (1.4%)

Compiler: Compiled 12005 to 2559 computations (78.7% saved)

prune134.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	441	9	450
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	442	9	451

Accuracy

99.8%

Counts

451 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.3%	(.f64 p (neg.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
	28.1%	(.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
▶	15.4%	(sqrt.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
▶	76.8%	(sqrt.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))
▶	52.5%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
	5.7%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
	33.6%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
▶	56.3%	(sqrt.f64 #s(literal 1/2 binary64))
	74.0%	(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))

Compiler

Compiled 190 to 152 computations (20% saved)

localize631.0ms (7.2%)

Algorithm

1×	egg-herbie

Localize:

Found 34 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(pow.f64 p #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	12928	(sqrt.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
✓	cost-diff	0	(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
✓	cost-diff	0	(.f64 p (neg.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) 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))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) p)
✓	cost-diff	0	(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (.f64 #s(literal 2 binary64) p)))
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(pow.f64 p #s(literal 2 binary64))
✓	accuracy	90.8%	(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	75.3%	(sqrt.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
✓	accuracy	100.0%	(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
✓	accuracy	99.7%	(.f64 p (neg.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
✓	accuracy	99.5%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	accuracy	99.5%	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
✓	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	97.4%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (.f64 #s(literal 2 binary64) p)))
✓	accuracy	100.0%	(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))

Rules

1440×	`fma-define`
1132×	`fma-neg`
488×	`times-frac`
316×	`distribute-lft-neg-in`
306×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	475
1	60	459
2	133	447
3	265	447
4	417	447
5	668	447
6	936	447
7	1261	447
8	1941	447
9	2374	447
10	2423	447
11	2615	447
12	4112	447
13	5422	447
14	6118	447
15	6293	447
16	6385	447
17	6427	447
18	6740	447
19	6930	447
20	6954	447
21	6954	447
22	6954	447
23	7044	447
24	7452	447
25	7468	447
26	7468	447
27	7468	447
28	7468	447

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

54.0ms	188×	0	valid
18.0ms	68×	0	invalid

Compiler

Compiled 141 to 26 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 9.0ms (22.8% of total)

ival-sqrt: 9.0ms (22.8% of total)

ival-div: 7.0ms (17.7% of total)

ival-hypot: 5.0ms (12.6% of total)

ival-pow: 5.0ms (12.6% of total)

ival-add: 3.0ms (7.6% of total)

const: 1.0ms (2.5% of total)

ival-neg: 1.0ms (2.5% of total)

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

series57.0ms (0.6%)

Counts

19 → 207

Calls

Call 1

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

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 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/512 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 4 binary64))))))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 p (pow.f64 x #s(literal 4 binary64))))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p (pow.f64 x #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))))))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (pow.f64 p #s(literal 2 binary64))))) (.f64 p (pow.f64 x #s(literal 6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (*.f64 p (pow.f64 x #s(literal 4 binary64)))))))) x))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 11/8 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -69/16 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 11/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 p (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) p)) (.f64 #s(literal 1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
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#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (*.f64 #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 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 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 2 binary64) p)>
#<alt (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) p)) (.f64 #s(literal 2 binary64) p))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) p) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) p) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))))))>
#<alt 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)))))))))>

Calls

87 calls:

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

rewrite270.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`prod-diff`
228×	`log1p-expm1-u`
228×	`expm1-log1p-u`
225×	`add-cube-cbrt`
224×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	429
1	511	331
2	7142	331

Stop Event

1×	node limit

Counts

19 → 607

Calls

Call 1

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

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

simplify287.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

631×	`fma-define`
479×	`associate-*r/`
408×	`*-commutative`
374×	`times-frac`
284×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1506	28146
1	3574	27025

Stop Event

1×	node limit

Counts

814 → 946

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

Outputs
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 x p) (sqrt.f64 #s(literal 1/2 binary64))) (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 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 (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))) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 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 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/512 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (/.f64 #s(literal 1/512 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1/32 binary64) (pow.f64 p #s(literal 3 binary64))))) (sqrt.f64 #s(literal 1/2 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 1/2 binary64) (.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal -1/32 binary64) (pow.f64 p #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 4 binary64))))))) (pow.f64 x #s(literal 6 binary64)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 p #s(literal 4 binary64))))))) (pow.f64 x #s(literal 6 binary64)))))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 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 #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 p #s(literal 4 binary64))))))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))) x))
(neg.f64 (/.f64 (+.f64 p (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p (pow.f64 x #s(literal 2 binary64)))))) x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -12 binary64) p)) p) (neg.f64 x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 p (pow.f64 x #s(literal 4 binary64))))))) x))
(neg.f64 (/.f64 (+.f64 p (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 p (pow.f64 x #s(literal 4 binary64))))))) x))
(/.f64 (+.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 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 (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) #s(literal -1/64 binary64))) (.f64 p (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -12 binary64) p))))) (neg.f64 x))
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(*.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 p #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 (/.f64 p x) (/.f64 #s(literal 1 binary64) x)) p)
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(.f64 (.f64 (/.f64 p x) (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 p x)))
(.f64 (/.f64 p x) (.f64 (cbrt.f64 (/.f64 p x)) (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))))
(.f64 (.f64 (/.f64 p x) p) (/.f64 #s(literal 1 binary64) x))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 3 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x p) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
(neg.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.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)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (exp.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(-.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 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 #s(literal 1 binary64) (pow.f64 p #s(literal 2 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 p)) (sqrt.f64 p))
(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))
(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))
(-.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))))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(pow.f64 x #s(literal 2 binary64))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(.f64 (.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 x #s(literal 2 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 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 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 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))
(.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p)) #s(literal 1 binary64))
(hypot.f64 x (*.f64 p #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 #s(literal 2 binary64) p)))
(hypot.f64 x (*.f64 p #s(literal 2 binary64)))
(.f64 (cbrt.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p))) (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))
(hypot.f64 x (*.f64 p #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(hypot.f64 x (*.f64 p #s(literal 2 binary64)))
(.f64 (sqrt.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p))) (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(hypot.f64 x (*.f64 p #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 1 binary64))
(hypot.f64 x (*.f64 p #s(literal 2 binary64)))
(pow.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(hypot.f64 x (*.f64 p #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))
(hypot.f64 x (*.f64 p #s(literal 2 binary64)))
(pow.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 x (*.f64 p #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))
(hypot.f64 x (*.f64 p #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)))
(hypot.f64 x (*.f64 p #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(hypot.f64 x (*.f64 p #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(hypot.f64 x (*.f64 p #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 3 binary64)))
(hypot.f64 x (*.f64 p #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(expm1.f64 (log1p.f64 (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(hypot.f64 x (*.f64 p #s(literal 2 binary64)))
(exp.f64 (log.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(hypot.f64 x (*.f64 p #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)))
(hypot.f64 x (*.f64 p #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 p #s(literal 2 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 1 binary64))
(*.f64 p #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) p)) #s(literal 3 binary64))
(*.f64 p #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 p #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64))
(*.f64 p #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 p) #s(literal 2 binary64)))
(*.f64 p #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) p))))
(*.f64 p #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 3 binary64)))
(*.f64 p #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) p)))
(expm1.f64 (log1p.f64 (*.f64 p #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) p)))
(*.f64 p #s(literal 2 binary64))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) p)))
(*.f64 p #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) p)) #s(literal 1 binary64)))
(*.f64 p #s(literal 2 binary64))

eval127.0ms (1.5%)

Compiler: Compiled 18009 to 3680 computations (79.6% saved)

prune146.0ms (1.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	961	5	966
Fresh	4	0	4
Picked	2	3	5
Done	0	0	0
Total	967	8	975

Accuracy

100.0%

Counts

975 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.9%	(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1 binary64))
▶	28.6%	(/.f64 p (neg.f64 x))
▶	5.7%	(/.f64 p x)
✓	76.8%	(sqrt.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))
✓	52.5%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
✓	56.3%	(sqrt.f64 #s(literal 1/2 binary64))
▶	52.5%	(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
▶	33.6%	#s(literal 1 binary64)

Compiler

Compiled 98 to 76 computations (22.4% saved)

localize96.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 p x)
✓	cost-diff	0	(pow.f64 (/.f64 p x) #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(/.f64 p (neg.f64 x))
✓	cost-diff	0	(/.f64 p x)
✓	cost-diff	0	(/.f64 #s(literal 1/4 binary64) p)
✓	cost-diff	0	(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
✓	cost-diff	0	(pow.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
✓	cost-diff	0	(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
✓	accuracy	100.0%	(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 p x)
✓	accuracy	99.8%	(pow.f64 (/.f64 p x) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 p (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(/.f64 p x)
✓	accuracy	100.0%	(/.f64 #s(literal 1/4 binary64) p)
✓	accuracy	99.9%	(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(pow.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
✓	accuracy	92.1%	(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))

Rules

159×	`fma-define`
36×	`distribute-lft-in`
20×	`*-commutative`
15×	`sub-neg`
14×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	225
1	38	225
2	58	225
3	87	225
4	121	225
5	154	225
6	198	225
7	268	225
8	410	225
9	482	225
10	483	225

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
x
(/.f64 #s(literal 1/4 binary64) p)
#s(literal 1/4 binary64)
p
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 1 binary64)
(/.f64 p x)
p
x
(/.f64 p (neg.f64 x))
p
(neg.f64 x)
x
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 p x)
p
x
#s(literal 2 binary64)
#s(literal 1 binary64)

Results

39.0ms	188×	0	valid
12.0ms	68×	0	invalid

Compiler

Compiled 69 to 18 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-pow: 9.0ms (31.7% of total)

ival-div: 6.0ms (21.1% of total)

ival-fma: 6.0ms (21.1% of total)

ival-cbrt: 4.0ms (14.1% of total)

const: 1.0ms (3.5% of total)

ival-neg: 1.0ms (3.5% of total)

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

series34.0ms (0.4%)

Counts

9 → 156

Calls

Call 1

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

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))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 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)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 p (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))))) p)) (.f64 #s(literal -1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))>
#<alt (sqrt.f64 #s(literal 1/8 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal 3/32 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 9/1024 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 1/8 binary64)))) (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 3/32 binary64) (/.f64 (-.f64 (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 9/1024 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64)))))) (.f64 p (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 1/8 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 9/1024 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/8 binary64)))))) (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))))))>
#<alt (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) x)))) (.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p (pow.f64 x #s(literal 3 binary64))))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) x)))) (+.f64 (.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p (pow.f64 x #s(literal 3 binary64)))))) (.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 5 binary64))))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) x)))) (+.f64 (.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p (pow.f64 x #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 7 binary64)))) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 9/64 binary64) (/.f64 x p)))))))))>
#<alt (.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/64 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p (pow.f64 x #s(literal 3 binary64))))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/64 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/64 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p (pow.f64 x #s(literal 3 binary64))))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/64 binary64))))) (+.f64 (.f64 #s(literal 3/32 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/64 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/64 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) x)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -9/4096 binary64) (/.f64 x (.f64 p (pow.f64 (sqrt.f64 #s(literal -1/64 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -1/64 binary64))))) (.f64 #s(literal -3/32 binary64) (.f64 (sqrt.f64 (.f64 p x)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/64 binary64)))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 3/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p (pow.f64 x #s(literal 3 binary64))))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/64 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) x))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/64 binary64)))))))>
#<alt (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (.f64 p (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 p #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (.f64 p (pow.f64 x #s(literal 3 binary64))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))))) (.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) x) (.f64 #s(literal 1/8 binary64) x))))))) (pow.f64 p #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (.f64 p (pow.f64 x #s(literal 3 binary64))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))))) (.f64 p (+.f64 (.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) x) (.f64 #s(literal 1/8 binary64) x)))) (.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 16 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 p (pow.f64 x #s(literal 3 binary64))))))))))))) (pow.f64 p #s(literal 2 binary64)))>
#<alt (sqrt.f64 #s(literal 1/8 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) x) (.f64 #s(literal 1/8 binary64) x)) (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) x) (.f64 #s(literal 1/8 binary64) x)) (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal 1/16 binary64) x) (.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) x) (.f64 #s(literal 1/8 binary64) x)) (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/16 binary64) x) (.f64 #s(literal 1/8 binary64) x)) (-.f64 (+.f64 (.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal 1/16 binary64) x) (.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal 1/16 binary64) x) (.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))))))>
#<alt (sqrt.f64 #s(literal 1/8 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/16 binary64) x)) (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal -1/16 binary64) x)) (sqrt.f64 #s(literal 1/8 binary64))))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/16 binary64) x)) (-.f64 (+.f64 (.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/8 binary64))))) p)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal -1/16 binary64) x)) (sqrt.f64 #s(literal 1/8 binary64))))) p)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.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 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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) 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))>
#<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 #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 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) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>

Calls

48 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(pow (+ (* x (/ 1/4 p)) 1/2) 3/2)
3.0ms	p	@	-inf	(pow (+ (* x (/ 1/4 p)) 1/2) 3/2)
1.0ms	p	@	0	(pow (+ (* x (/ 1/4 p)) 1/2) 3/2)
1.0ms	p	@	inf	(pow (+ (* x (/ 1/4 p)) 1/2) 3/2)
1.0ms	x	@	0	(pow (+ (* x (/ 1/4 p)) 1/2) 3/2)

rewrite141.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`log1p-expm1-u`
880×	`expm1-log1p-u`
484×	`log-prod`
159×	`expm1-undefine`
159×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	169
1	261	159
2	3318	159

Stop Event

1×	node limit

Counts

9 → 308

Calls

Call 1

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

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

simplify148.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

716×	`associate-l`
711×	`associate-r`
438×	`fma-define`
382×	`times-frac`
336×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	882	4294982673
1	2031	4294981509

Stop Event

1×	node limit

Counts

464 → 432

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

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

eval69.0ms (0.8%)

Compiler: Compiled 8842 to 1812 computations (79.5% saved)

prune61.0ms (0.7%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	486	2	488
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	488	8	496

Accuracy

100.0%

Counts

496 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.6%	(/.f64 p (neg.f64 x))
✓	5.7%	(/.f64 p x)
▶	23.9%	(+.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	76.8%	(sqrt.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))
✓	52.5%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
✓	56.3%	(sqrt.f64 #s(literal 1/2 binary64))
▶	52.5%	(cbrt.f64 (pow.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
✓	33.6%	#s(literal 1 binary64)

Compiler

Compiled 65 to 51 computations (21.5% saved)

localize83.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
	cost-diff	0	(/.f64 p x)
	cost-diff	0	(pow.f64 (/.f64 p x) #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	-6272	(pow.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
✓	cost-diff	-6272	(cbrt.f64 (pow.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
	cost-diff	0	(/.f64 #s(literal 1/4 binary64) p)
✓	cost-diff	0	(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
	accuracy	100.0%	(/.f64 p x)
✓	accuracy	100.0%	(+.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
	accuracy	99.8%	(pow.f64 (/.f64 p x) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p)) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(pow.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
✓	accuracy	99.8%	(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
✓	accuracy	92.1%	(cbrt.f64 (pow.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))

Rules

18×	`fma-define`
14×	`*-commutative`
12×	`associate-r`
12×	`associate-l`
11×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	214
1	38	214
2	50	214
3	76	214
4	106	214
5	128	214
6	137	214
7	139	214
8	140	214

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

34.0ms	188×	0	valid
9.0ms	68×	0	invalid

Compiler

Compiled 71 to 18 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-pow: 10.0ms (42.9% of total)

ival-div: 4.0ms (17.2% of total)

ival-mult: 4.0ms (17.2% of total)

ival-add: 3.0ms (12.9% of total)

ival-cbrt: 2.0ms (8.6% of total)

const: 1.0ms (4.3% of total)

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

series14.0ms (0.2%)

Counts

6 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite148.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

793×	`log1p-expm1-u`
793×	`expm1-log1p-u`
386×	`prod-diff`
267×	`fma-define`
210×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	150
1	280	144
2	3553	144

Stop Event

1×	node limit

Counts

6 → 183

Calls

Call 1

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

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

simplify285.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

377×	`fma-define`
370×	`associate-r`
367×	`*-commutative`
333×	`associate-l`
273×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	749	4294982049
1	1912	4294980515
2	6535	4294980399

Stop Event

1×	node limit

Counts

327 → 346

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)))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(sqrt.f64 #s(literal 1/8 binary64))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 #s(literal 3/32 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 9/1024 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 1/8 binary64)))) (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))))))
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 3/32 binary64) (/.f64 (-.f64 (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 9/1024 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64)))))) (.f64 p (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 1/8 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 9/1024 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/8 binary64)))))) (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 p (sqrt.f64 #s(literal 1/8 binary64))))))))
(*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))))
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(fma.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 p))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 p)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) p) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) p) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1/2 binary64))
(-.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 p x) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 p x) #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(expm1.f64 (.f64 (log1p.f64 (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (.f64 (/.f64 p x) (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (.f64 (/.f64 p x) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 p x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 p x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 p x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (hypot.f64 #s(literal 1 binary64) (.f64 (/.f64 p x) (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 p x) (sqrt.f64 #s(literal -1/2 binary64)))))
(.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 p x) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 p x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 p x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 p x) #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 p x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 p x) #s(literal 4 binary64))) (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 p x) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 p x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 p x) #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 p x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(pow.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 p x) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log1p.f64 (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 p x) (*.f64 (/.f64 p x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 p x) #s(literal 4 binary64)))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 p x) #s(literal 4 binary64)))) (cbrt.f64 (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 p x) #s(literal 4 binary64)))) (.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 p x) (sqrt.f64 #s(literal -1/2 binary64))) (.f64 (/.f64 p x) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 p x) (sqrt.f64 #s(literal -1/2 binary64))) (.f64 (*.f64 (/.f64 p x) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 p x)) (/.f64 p x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 2 binary64)) #s(literal 1 binary64))

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

eval68.0ms (0.8%)

Compiler: Compiled 9713 to 2159 computations (77.8% saved)

prune130.0ms (1.5%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	476	1	477
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	477	8	485

Accuracy

100.0%

Counts

485 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.6%	(/.f64 p (neg.f64 x))
✓	5.7%	(/.f64 p x)
	23.9%	(+.f64 (*.f64 (/.f64 (/.f64 p x) (/.f64 x p)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	76.8%	(sqrt.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))
✓	52.5%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
✓	56.3%	(sqrt.f64 #s(literal 1/2 binary64))
✓	52.5%	(cbrt.f64 (pow.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) p)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
✓	33.6%	#s(literal 1 binary64)

Compiler

Compiled 218 to 122 computations (44% saved)

regimes42.0ms (0.5%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

7 calls:

11.0ms	x
5.0ms	p
5.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
5.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
4.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Results

Accuracy	Segments	Branch
79.1%	2	`p`
84.4%	4	`x`
100.0%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
100.0%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
100.0%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
100.0%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
79.1%	2	`(.f64 (.f64 #s(literal 4 binary64) p) p)`

Compiler

Compiled 80 to 56 computations (30% saved)

regimes11.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	p
4.0ms	x

Results

Accuracy	Segments	Branch
74.3%	2	`p`
70.2%	5	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	p

Results

Accuracy	Segments	Branch
55.2%	2	`x`
38.4%	2	`p`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -19.3b remaining (-45.3%)

Threshold costs -19.3b (-45.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	x
1.0ms	p

Results

Accuracy	Segments	Branch
33.6%	1	`p`
33.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-4.095764093019204e-9

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.824525754419989e-80	4.066657410681226e-80

Results

7.0ms	53×	0	valid
4.0ms	14×	2	valid
2.0ms	13×	1	valid

Compiler

Compiled 84 to 68 computations (19% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (48.6% of total)

ival-sqrt: 2.0ms (19.4% of total)

ival-div: 1.0ms (9.7% of total)

backward-pass: 1.0ms (9.7% of total)

ival-add: 1.0ms (9.7% of total)

const: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-3.405434116652536e-141	-3.810545282870261e-145

Results

11.0ms	14×	2	valid
8.0ms	92×	0	valid
4.0ms	22×	1	valid

Compiler

Compiled 112 to 90 computations (19.6% saved)

Precisions

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

ival-mult: 5.0ms (43.2% of total)

ival-sqrt: 3.0ms (25.9% of total)

ival-add: 2.0ms (17.3% of total)

ival-div: 1.0ms (8.6% of total)

backward-pass: 1.0ms (8.6% of total)

const: 0.0ms (0% of total)

simplify5.0ms (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	39	184
1	54	184
2	60	184
3	65	184
4	68	184
5	69	184

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 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))
(if (<=.f64 p #s(literal 3470978933371479/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 x #s(literal -3954123452235231/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) (/.f64 p (neg.f64 x)) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))
(if (<=.f64 p #s(literal 3470978933371479/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 x #s(literal -3954123452235231/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) (/.f64 p (neg.f64 x)) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness501.0ms (5.7%)

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1506	28146
1	3574	27025
0	20	236
1	269	173
2	3577	165

Stop Event

1×	fuel
1×	node limit
1×	node limit

Compiler

Compiled 301 to 113 computations (62.5% saved)

preprocess46.0ms (0.5%)

Compiler: Compiled 308 to 200 computations (35.1% saved)

Iter	Nodes	Cost
0	24	225
1	38	225
2	58	225
3	87	225
4	121	225
5	154	225
6	198	225
7	268	225
8	410	225
9	482	225
10	483	225

Iter	Nodes	Cost
0	24	225
1	38	225
2	58	225
3	87	225
4	121	225
5	154	225
6	198	225
7	268	225
8	410	225
9	482	225
10	483	225

analyze769.0ms (8.8%)

sample3.0s (34.4%)

preprocess201.0ms (2.3%)

explain374.0ms (4.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize105.0ms (1.2%)

series39.0ms (0.4%)

rewrite289.0ms (3.3%)

simplify250.0ms (2.8%)

eval124.0ms (1.4%)

prune134.0ms (1.5%)

localize631.0ms (7.2%)

series57.0ms (0.6%)

rewrite270.0ms (3.1%)

simplify287.0ms (3.3%)

eval127.0ms (1.5%)

prune146.0ms (1.7%)

localize96.0ms (1.1%)

series34.0ms (0.4%)

rewrite141.0ms (1.6%)

simplify148.0ms (1.7%)

eval69.0ms (0.8%)

prune61.0ms (0.7%)

localize83.0ms (1%)

series14.0ms (0.2%)

rewrite148.0ms (1.7%)

simplify285.0ms (3.3%)

eval68.0ms (0.8%)

prune130.0ms (1.5%)

regimes42.0ms (0.5%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch18.0ms (0.2%)

bsearch30.0ms (0.3%)

simplify5.0ms (0.1%)

soundness501.0ms (5.7%)

preprocess46.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	24	225
1	38	225
2	58	225
3	87	225
4	121	225
5	154	225
6	198	225
7	268	225
8	410	225
9	482	225
10	483	225