Metrics for Given's Rotation SVD example

analyze504.0ms (4.8%)

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 27 to 21 computations (22.2% saved)

sample2.4s (23.3%)

Results

1.3s	6177×	0	valid
417.0ms	1206×	2	valid
171.0ms	683×	1	valid
76.0ms	190×	3	valid

Precisions

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

ival-mult: 634.0ms (39.7% of total)

...in/eval/compile.rkt:71:19: 277.0ms (17.4% of total)

ival-sqrt: 246.0ms (15.4% of total)

ival-add: 144.0ms (9% of total)

ival-div: 96.0ms (6% of total)

adjust: 63.0ms (3.9% of total)

ival-fabs: 55.0ms (3.4% of total)

ival-<: 54.0ms (3.4% of total)

ival-and: 13.0ms (0.8% of total)

...in/eval/compile.rkt:70:19: 10.0ms (0.6% of total)

ival-assert: 5.0ms (0.3% of total)

Bogosity

preprocess215.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

779×	`fma-define`
424×	`fmm-def`
126×	`distribute-lft-neg-in`
100×	`associate-l`
98×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	458
1	116	442
2	225	422
3	459	414
4	806	414
5	1322	414
6	1990	414
7	2493	414
8	2750	414
9	3055	414
10	3173	414
11	3237	414
12	3243	414
13	3244	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 #s(literal 1 binary64) (/.f64 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)

explain276.0ms (2.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
64	-	0	-	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`
31	-	0	-	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
27	-	2	(2.163996381858955e-23 -4.969679070780381e+134)	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
0	-	0	-	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`p`
0	-	0	-	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`
0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
0	-	0	-	`#s(literal 1/2 binary64)`
0	-	0	-	`(*.f64 #s(literal 4 binary64) p)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`	oflow-rescue	64	0
↳	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`	overflow	64
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	overflow	64
`+.f64`	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	cancellation	31	0
`sqrt.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) p) p) (.f64 x x)))))))`	uflow-rescue	25	0
↳	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`	underflow	4
↳	`(.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))))))`	underflow	29
↳	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	underflow	29
↳	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`	underflow	10
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	underflow	53

Confusion

	Predicted +	Predicted -
+	56	0
-	64	136

Precision

0.4666666666666667

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	56	0	0
-	64	0	136

Precision?

0.4666666666666667

Recall?

1.0

Freqs

test

number	freq
0	136
1	120

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Results

52.0ms	394×	0	valid
32.0ms	78×	2	valid
8.0ms	32×	1	valid
4.0ms	8×	3	valid

Compiler

Compiled 230 to 60 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 19.0ms (36.4% of total)

ival-sqrt: 12.0ms (23% of total)

ival-div: 8.0ms (15.3% of total)

ival-add: 7.0ms (13.4% of total)

adjust: 5.0ms (9.6% of total)

...in/eval/compile.rkt:70:19: 1.0ms (1.9% of total)

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

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

eval1.0ms (0%)

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

prune6.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.5%	(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))))))))
▶	79.4%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Status

Accuracy

Program

▶

79.5%

(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))))))))

▶

79.4%

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

Compiler

Compiled 37 to 26 computations (29.7% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))
✓	cost-diff	0	(sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))))
✓	cost-diff	0	(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p)))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 p p))))))
✓	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)

Rules

8×	`fma-define`
7×	`*-commutative`
3×	`1-exp`
3×	`+-commutative`
1×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	671
1	52	655
2	59	655
3	61	655
4	63	655
5	64	655

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

localize145.0ms (1.4%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 #s(literal 4 binary64) (.f64 p p))
✓	accuracy	90.5%	(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))))))))
✓	accuracy	89.2%	(+.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)))))))
✓	accuracy	76.7%	(sqrt.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 p p))))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
✓	accuracy	90.5%	(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	89.2%	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
✓	accuracy	76.7%	(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))

Results

46.0ms	17×	1	valid
39.0ms	196×	0	valid
28.0ms	39×	2	valid
3.0ms	4×	3	valid

Compiler

Compiled 180 to 24 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 54.0ms (62.5% of total)

ival-sqrt: 13.0ms (15% of total)

ival-div: 5.0ms (5.8% of total)

ival-add: 5.0ms (5.8% of total)

adjust: 4.0ms (4.6% of total)

ival-fma: 4.0ms (4.6% of total)

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

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

series54.0ms (0.5%)

Counts

14 → 276

Calls

Call 1

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

Outputs
#<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))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -20 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x p))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x p)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) p)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) p)))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (.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 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 (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/4096 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 7 binary64)))) (.f64 #s(literal 3/512 binary64) (/.f64 #s(literal 1 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 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 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 1/2 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 1/2 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 #s(literal -1/2 binary64)>
#<alt (-.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))>
#<alt (-.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 4 binary64)))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 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 4 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 6 binary64)))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 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 1/2 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 1/2 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 (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (/.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 (+.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 (+.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 -1/2 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/32 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 -1/4 binary64) (/.f64 x p))>
#<alt (.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))>
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#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1/2 binary64)>
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#<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)))>
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#<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 #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)>
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#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))>
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#<alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x))) p)))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 x (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/512 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<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 (*.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)))>

Calls

72 calls:

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

rewrite330.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

981×	`log1p-expm1-u`
981×	`expm1-log1p-u`
290×	`fmm-def`
141×	`add-exp-log`
141×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	494
1	455	352
2	4423	352

Stop Event

1×	node limit

Counts

14 → 390

Calls

Call 1

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

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

simplify363.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

679×	`fma-define`
608×	`associate-r`
334×	`*-commutative`
324×	`times-frac`
307×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1174	33889
1	3123	32319

Stop Event

1×	node limit

Counts

666 → 734

Calls

Call 1

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

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

eval108.0ms (1%)

Compiler: Compiled 20001 to 3787 computations (81.1% saved)

prune110.0ms (1.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	726	8	734
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	728	8	736

Accuracy

100.0%

Counts

736 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.5%	(/.f64 p (neg.f64 x))
▶	26.3%	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
▶	79.4%	(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))))))
	53.4%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
▶	36.1%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	78.7%	(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
	57.4%	(sqrt.f64 #s(literal 1/2 binary64))
	17.4%	(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))

Compiler

Compiled 178 to 136 computations (23.6% saved)

simplify132.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(pow.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))
✓	cost-diff	12864	(cbrt.f64 (pow.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
✓	cost-diff	12864	(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
✓	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	0	(*.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	cost-diff	6528	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(/.f64 p (neg.f64 x))
✓	cost-diff	0	(*.f64 p #s(literal 2 binary64))
✓	cost-diff	0	(hypot.f64 x (*.f64 p #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (.f64 p #s(literal 2 binary64))))

Rules

686×	`fmm-def`
646×	`associate-*l/`
564×	`fma-define`
546×	`associate-r`
400×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	561
1	65	537
2	122	537
3	306	537
4	954	537
5	4044	537
6	4840	537
7	6151	537
8	6708	537
9	7552	537

Stop Event

1×	node limit

Calls

Call 1

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

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

localize152.0ms (1.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(pow.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))
✓	accuracy	91.4%	(cbrt.f64 (pow.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
✓	accuracy	90.5%	(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
✓	accuracy	89.2%	(fma.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(pow.f64 p #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))
✓	accuracy	87.4%	(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(/.f64 p (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(*.f64 p #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (.f64 p #s(literal 2 binary64))))
✓	accuracy	90.5%	(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))))))
✓	accuracy	89.2%	(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (.f64 p #s(literal 2 binary64)))))

Results

59.0ms	196×	0	valid
29.0ms	30×	2	valid
19.0ms	30×	1	valid

Compiler

Compiled 172 to 29 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-pow: 12.0ms (19.6% of total)

ival-div: 9.0ms (14.7% of total)

ival-mult: 8.0ms (13.1% of total)

ival-hypot: 7.0ms (11.4% of total)

ival-sqrt: 7.0ms (11.4% of total)

adjust: 6.0ms (9.8% of total)

ival-add: 6.0ms (9.8% of total)

ival-fma: 3.0ms (4.9% of total)

ival-cbrt: 2.0ms (3.3% of total)

...in/eval/compile.rkt:70:19: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series48.0ms (0.5%)

Counts

19 → 300

Calls

Call 1

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

Outputs
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (.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 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 (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/4096 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 7 binary64)))) (.f64 #s(literal 3/512 binary64) (/.f64 #s(literal 1 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 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 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 1/2 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 1/2 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 #s(literal -1/2 binary64)>
#<alt (-.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))>
#<alt (-.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 4 binary64)))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 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 4 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 6 binary64)))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 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 1/2 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 1/2 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 (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (/.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 (+.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 (+.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 -1/2 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/32 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 -1/4 binary64) (/.f64 x p))>
#<alt (.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 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 -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 -1/2 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/32 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) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) 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))))))))>
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#<alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x))) p)))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 x (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/512 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<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 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

87 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/ (* x 1/2) (sqrt (+ (* x x) (* (* p 2) (* p 2)))))
4.0ms	x	@	-inf	(pow (+ (* (/ x (sqrt (+ (* x x) (* (* p 2) (* p 2))))) 1/2) 1/2) 3)
2.0ms	x	@	-inf	(sqrt (cbrt (pow (+ (* (/ x (sqrt (+ (* x x) (* (* p 2) (* p 2))))) 1/2) 1/2) 3)))
2.0ms	x	@	inf	(pow (+ (* (/ x (sqrt (+ (* x x) (* (* p 2) (* p 2))))) 1/2) 1/2) 3)
1.0ms	p	@	0	(pow (+ (* (/ x (sqrt (+ (* x x) (* (* p 2) (* p 2))))) 1/2) 1/2) 3)

rewrite275.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

771×	`prod-diff`
198×	`log1p-expm1-u`
198×	`expm1-log1p-u`
196×	`pow1`
194×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	443
1	479	413
2	6411	413

Stop Event

1×	node limit

Counts

19 → 537

Calls

Call 1

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

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

simplify349.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

902×	`times-frac`
755×	`fma-define`
399×	`distribute-rgt-in`
398×	`distribute-lft-in`
364×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1323	40084
1	3296	38039

Stop Event

1×	node limit

Counts

837 → 788

Calls

Call 1

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

Outputs
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))
(*.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) p)))
(.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))
(.f64 x (fma.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) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) p)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/32 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) p)))
(.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/4096 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 7 binary64)))) (.f64 #s(literal 3/512 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))
(.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -5/4096 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 7 binary64))) (/.f64 #s(literal 3/512 binary64) (pow.f64 p #s(literal 5 binary64))))) (/.f64 #s(literal 1/32 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) p)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -5/4096 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 7 binary64))) (/.f64 #s(literal 3/512 binary64) (pow.f64 p #s(literal 5 binary64)))) (/.f64 #s(literal -1/32 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) p)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 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)))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))))
#s(literal -1/2 binary64)
(-.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 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 (+.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 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 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 6 binary64)))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (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)))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 #s(literal 3 binary64) (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))))))
(fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.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)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 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))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.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) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.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) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) x)) p)
(/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) x)) p)
(/.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))))) p)
(/.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)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) x))) p)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))))) p)
(/.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 -1/2 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x)))) p)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64))))) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) x)))) p)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64))) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/256 binary64))) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))))))) p)
(*.f64 #s(literal -1/4 binary64) (/.f64 x p))
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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 1/2 binary64)
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (+.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)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 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)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 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 (+.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))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 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))) (+.f64 (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (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 -1/8 binary64) (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 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 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))) (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 (*.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 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 (neg.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)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64))))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.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) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 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 (-.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))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) #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 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 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 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 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)))
(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 (pow.f64 p #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(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 3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 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 (pow.f64 p #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 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) (pow.f64 (*.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)))
(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 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 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 (pow.f64 p #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(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)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(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)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(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 (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 (pow.f64 p #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(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))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 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 (pow.f64 p #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 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 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 (pow.f64 p #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.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 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 #s(literal -1/2 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 (pow.f64 p #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 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 (.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 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 (.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 (pow.f64 (*.f64 (/.f64 p x) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))

eval167.0ms (1.6%)

Compiler: Compiled 20694 to 3731 computations (82% saved)

prune116.0ms (1.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	873	6	879
Fresh	1	2	3
Picked	3	2	5
Done	0	0	0
Total	877	10	887

Accuracy

100.0%

Counts

887 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	25.5%	(/.f64 p (neg.f64 x))
	5.4%	(/.f64 p x)
	26.3%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64)))
▶	25.4%	(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
▶	53.4%	(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 1/2 binary64)))
✓	79.4%	(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))))))
	53.1%	(sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x p) #s(literal 3/16 binary64)))))
▶	57.4%	(sqrt.f64 #s(literal 1/2 binary64))
▶	17.4%	(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))
▶	36.1%	#s(literal 1 binary64)

Compiler

Compiled 168 to 126 computations (25% saved)

simplify164.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 p #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))
✓	cost-diff	0	(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p (pow.f64 x #s(literal 2 binary64))))
✓	cost-diff	128	(.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)))))
✓	cost-diff	-6272	(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 1/2 binary64))
✓	cost-diff	-6272	(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 x p)
✓	cost-diff	0	(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(neg.f64 p)
✓	cost-diff	128	(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))

Rules

1493×	`fma-define`
748×	`fmm-def`
641×	`distribute-lft-neg-in`
529×	`div-sub`
393×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	485
1	71	455
2	154	443
3	442	443
4	1726	443
5	3950	443
6	5444	443
7	6627	443
8	7171	443
9	7298	443
10	7332	443

Stop Event

1×	node limit

Calls

Call 1

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

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

localize95.0ms (0.9%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))
✓	accuracy	99.7%	(*.f64 p (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	97.7%	(/.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)
✓	accuracy	74.8%	(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p (pow.f64 x #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 x p)
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
✓	accuracy	96.6%	(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(neg.f64 p)
✓	accuracy	99.7%	(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))

Results

44.0ms	196×	0	valid
13.0ms	60×	0	invalid

Compiler

Compiled 143 to 28 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 10.0ms (30.5% of total)

ival-div: 7.0ms (21.4% of total)

ival-pow: 6.0ms (18.3% of total)

ival-sqrt: 4.0ms (12.2% of total)

ival-add: 3.0ms (9.2% of total)

ival-neg: 2.0ms (6.1% of total)

...in/eval/compile.rkt:70:19: 1.0ms (3.1% of total)

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

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

series36.0ms (0.3%)

Counts

14 → 168

Calls

Call 1

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

Outputs
#<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 #s(literal -1 binary64) p)>
#<alt (*.f64 #s(literal -1 binary64) p)>
#<alt (*.f64 #s(literal -1 binary64) p)>
#<alt (*.f64 #s(literal -1 binary64) p)>
#<alt (*.f64 #s(literal -1 binary64) p)>
#<alt (*.f64 #s(literal -1 binary64) p)>
#<alt (*.f64 #s(literal -1 binary64) p)>
#<alt (*.f64 #s(literal -1 binary64) p)>
#<alt (*.f64 #s(literal -1 binary64) p)>
#<alt (*.f64 #s(literal -1 binary64) p)>
#<alt (*.f64 #s(literal -1 binary64) p)>
#<alt (*.f64 #s(literal -1 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 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 #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 -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))>
#<alt (/.f64 p x)>
#<alt (.f64 p (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 p (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 p (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 p x)>
#<alt (/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 p x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>

Calls

66 calls:

Time	Variable		Point	Expression
5.0ms	p	@	inf	(* 1/8 (/ (* (pow p 4) -12) (* p (pow x 2))))
3.0ms	p	@	0	(sqrt (+ (* 1/4 (/ x p)) 1/2))
2.0ms	p	@	0	(/ x p)
2.0ms	x	@	-inf	(/ (+ p (* 1/8 (/ (* (pow p 4) -12) (* p (pow x 2))))) x)
1.0ms	x	@	-inf	(sqrt (+ (* 1/4 (/ x p)) 1/2))

rewrite223.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1027×	`log1p-expm1-u`
195×	`expm1-log1p-u`
190×	`add-cube-cbrt`
188×	`add-exp-log`
188×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	313
1	442	274
2	6547	274

Stop Event

1×	node limit

Counts

14 → 389

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 p x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 p x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 p x))
(/.f64 p x)
(/.f64 p (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x p))
(/.f64 (/.f64 p (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 p (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 p #s(literal 1 binary64)) x)
(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 p x) #s(literal 1 binary64))
(neg.f64 (/.f64 p x))
(sqrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 p x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 p x))))
(cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) 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 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) p)
(-.f64 #s(literal 0 binary64) p)
(-.f64 (exp.f64 (log1p.f64 p)) #s(literal 1 binary64))
(*.f64 p #s(literal 1 binary64))
(*.f64 p #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 (cbrt.f64 p) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (cbrt.f64 p))
(*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 p)))
(.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (.f64 (cbrt.f64 p) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 p))
(*.f64 (sqrt.f64 p) (neg.f64 (sqrt.f64 p)))
(.f64 (sqrt.f64 p) (.f64 (sqrt.f64 p) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 p))
(*.f64 (neg.f64 (sqrt.f64 p)) (sqrt.f64 p))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 p))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 p)) (sqrt.f64 p))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 p #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) p))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 p #s(literal 2 binary64))) p)
(pow.f64 p #s(literal 1 binary64))
(pow.f64 (cbrt.f64 p) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 p) #s(literal 2 binary64))
(pow.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) (sqrt.f64 x)))
(.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)) (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) x))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) (/.f64 #s(literal 1 binary64) x))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) (cbrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) (sqrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) x))
(.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) (cbrt.f64 x)))
(.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 p)) #s(literal 2 binary64))
(neg.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) p))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) p)))
(cbrt.f64 (pow.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 p (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify228.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

657×	`times-frac`
547×	`associate-r`
516×	`associate-l`
486×	`associate-/r*`
244×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	950	17141
1	2059	16536

Stop Event

1×	node limit

Counts

557 → 599

Calls

Call 1

Inputs
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal -1 binary64) p)
(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))))))))
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(.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) x))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) (/.f64 #s(literal 1 binary64) x))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) (cbrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) (sqrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) x))
(.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) (cbrt.f64 x)))
(.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p)) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 p)) #s(literal 2 binary64))
(neg.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) p))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) p)))
(cbrt.f64 (pow.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 p (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p (neg.f64 x))
(/.f64 (neg.f64 p) x)
(*.f64 #s(literal -1 binary64) p)
(neg.f64 p)
(*.f64 #s(literal -1 binary64) p)
(neg.f64 p)
(*.f64 #s(literal -1 binary64) p)
(neg.f64 p)
(*.f64 #s(literal -1 binary64) p)
(neg.f64 p)
(*.f64 #s(literal -1 binary64) p)
(neg.f64 p)
(*.f64 #s(literal -1 binary64) p)
(neg.f64 p)
(*.f64 #s(literal -1 binary64) p)
(neg.f64 p)
(*.f64 #s(literal -1 binary64) p)
(neg.f64 p)
(*.f64 #s(literal -1 binary64) p)
(neg.f64 p)
(*.f64 #s(literal -1 binary64) p)
(neg.f64 p)
(*.f64 #s(literal -1 binary64) p)
(neg.f64 p)
(*.f64 #s(literal -1 binary64) p)
(neg.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 p (sqrt.f64 #s(literal 1/2 binary64))))))
(fma.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 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 p (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 x (fma.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 x (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) (pow.f64 p #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (*.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 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 p (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 x (fma.f64 x (fma.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 #s(literal 1/2 binary64) #s(literal 3/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) (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 p x))) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 p x))) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 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 p x))) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))))))))
(.f64 x (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 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)))))
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(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 x #s(literal -2 binary64)))) p) x)
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 x #s(literal -2 binary64)))) p) x)
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p) x)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x) #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 x #s(literal -2 binary64)))) p) x)
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p) x)
(cbrt.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 x #s(literal -2 binary64)))) p) x)
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p) x)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 x #s(literal -2 binary64)))) p) x)
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p) x)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 x #s(literal -2 binary64)))) p) x)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 x #s(literal -2 binary64)))) p) x)
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p) x)
(exp.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 x #s(literal -2 binary64)))) p) x)
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p) x)
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 3 binary64)))) p) x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 #s(literal -12 binary64) (pow.f64 x #s(literal -2 binary64)))) p) x)
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p) x)
(-.f64 #s(literal 0 binary64) (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(*.f64 p (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 p (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 p (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 p (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 x (sqrt.f64 p)) #s(literal 2 binary64))
(*.f64 p (pow.f64 x #s(literal 2 binary64)))
(neg.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))))
(*.f64 p (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) p))
(*.f64 p (pow.f64 x #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))))))
(*.f64 p (pow.f64 x #s(literal 2 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) p)))
(*.f64 p (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 p (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 p (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(*.f64 p (pow.f64 x #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(*.f64 p (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 p (pow.f64 x #s(literal 2 binary64)))))
(*.f64 p (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 p (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 p (pow.f64 x #s(literal 2 binary64)))

eval77.0ms (0.7%)

Compiler: Compiled 10125 to 2472 computations (75.6% saved)

prune83.0ms (0.8%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	597	2	599
Fresh	0	3	3
Picked	1	4	5
Done	0	2	2
Total	598	11	609

Accuracy

100.0%

Counts

609 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	25.5%	(/.f64 p (neg.f64 x))
▶	5.4%	(/.f64 p x)
▶	26.3%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64)))
✓	25.4%	(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
✓	53.4%	(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 1/2 binary64)))
✓	79.4%	(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))))))
▶	53.1%	(sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x p) #s(literal 3/16 binary64)))))
✓	57.4%	(sqrt.f64 #s(literal 1/2 binary64))
▶	25.3%	(neg.f64 (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p) x))
▶	25.2%	(neg.f64 (+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
✓	36.1%	#s(literal 1 binary64)

Compiler

Compiled 163 to 117 computations (28.2% saved)

simplify109.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 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 3 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))
✓	cost-diff	0	(.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))))
✓	cost-diff	0	(pow.f64 (/.f64 p x) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 p x)
✓	cost-diff	64	(neg.f64 (+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64)))
✓	cost-diff	0	(/.f64 p x)
✓	cost-diff	0	(*.f64 (/.f64 p x) (/.f64 p x))
✓	cost-diff	0	(.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 p x)
✓	cost-diff	-6272	(cbrt.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x p) #s(literal 3/16 binary64))))
✓	cost-diff	-6272	(sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x p) #s(literal 3/16 binary64)))))
	cost-diff	0	(/.f64 x p)
✓	cost-diff	0	(*.f64 (/.f64 x p) #s(literal 3/16 binary64))

Rules

631×	`distribute-lft-neg-in`
631×	`fmm-def`
548×	`div-sub`
381×	`distribute-rgt-neg-in`
351×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	658
1	80	634
2	191	634
3	547	634
4	1700	634
5	4102	634
6	6206	634
7	7818	634

Stop Event

1×	node limit

Calls

Call 1

Inputs
(sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x p) #s(literal 3/16 binary64)))))
(cbrt.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x p) #s(literal 3/16 binary64))))
(+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x p) #s(literal 3/16 binary64)))
#s(literal 1/8 binary64)
(*.f64 (/.f64 x p) #s(literal 3/16 binary64))
(/.f64 x p)
x
p
#s(literal 3/16 binary64)
(/.f64 p x)
p
x
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64))
(*.f64 (/.f64 p x) (/.f64 p x))
(/.f64 p x)
p
x
#s(literal -1/2 binary64)
(neg.f64 (+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
(+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))
(/.f64 p x)
p
x
(*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
#s(literal -3/2 binary64)
(pow.f64 (/.f64 p x) #s(literal 3 binary64))
#s(literal 3 binary64)
(neg.f64 (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p) x))
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p) x)
(+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p)
(.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))))
#s(literal -3/2 binary64)
(*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 p #s(literal 3 binary64))
p
#s(literal 3 binary64)
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)

Outputs
(sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x p) #s(literal 3/16 binary64)))))
(sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x #s(literal 3/16 binary64)) p))))
(sqrt.f64 (cbrt.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64))))
(sqrt.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 3/16 binary64) p) #s(literal 1/8 binary64))))
(cbrt.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x p) #s(literal 3/16 binary64))))
(cbrt.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x #s(literal 3/16 binary64)) p)))
(cbrt.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64)))
(cbrt.f64 (fma.f64 x (/.f64 #s(literal 3/16 binary64) p) #s(literal 1/8 binary64)))
(+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x p) #s(literal 3/16 binary64)))
(+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x #s(literal 3/16 binary64)) p))
(fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64))
(fma.f64 x (/.f64 #s(literal 3/16 binary64) p) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(*.f64 (/.f64 x p) #s(literal 3/16 binary64))
(/.f64 (*.f64 x #s(literal 3/16 binary64)) p)
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(/.f64 x p)
x
p
#s(literal 3/16 binary64)
(/.f64 p x)
p
x
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 p x) (.f64 (/.f64 p x) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 p x) (/.f64 (*.f64 p #s(literal -1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 (/.f64 p x) (*.f64 p (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64))
(.f64 (/.f64 p x) (.f64 (/.f64 p x) #s(literal -1/2 binary64)))
(.f64 p (/.f64 (/.f64 (.f64 p #s(literal -1/2 binary64)) x) x))
(.f64 (/.f64 p x) (.f64 p (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (/.f64 p x) (/.f64 p x))
(/.f64 (/.f64 (*.f64 p p) x) x)
(/.f64 p x)
p
x
#s(literal -1/2 binary64)
(neg.f64 (+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
(-.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64)) (/.f64 p x))
(+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))
(fma.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 p x))
(/.f64 p x)
p
x
(*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
#s(literal -3/2 binary64)
(pow.f64 (/.f64 p x) #s(literal 3 binary64))
#s(literal 3 binary64)
(neg.f64 (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p) x))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) (neg.f64 x))
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal 3/2 binary64)) (neg.f64 p)) x)
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p) x)
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)
(+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p)
(fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)
(.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))))
#s(literal -3/2 binary64)
(*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 p #s(literal 3 binary64))
p
#s(literal 3 binary64)
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)

localize181.0ms (1.7%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p) x))
✓	accuracy	99.9%	(.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))))
✓	accuracy	97.7%	(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p) x)
✓	accuracy	91.4%	(*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))
✓	accuracy	100.0%	(neg.f64 (+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
✓	accuracy	99.9%	(*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
✓	accuracy	99.6%	(pow.f64 (/.f64 p x) #s(literal 3 binary64))
✓	accuracy	96.0%	(+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))
✓	accuracy	100.0%	(/.f64 p x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64))
✓	accuracy	99.7%	(*.f64 (/.f64 p x) (/.f64 p x))
✓	accuracy	100.0%	(/.f64 p x)
✓	accuracy	100.0%	(+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x p) #s(literal 3/16 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x p) #s(literal 3/16 binary64)))))
✓	accuracy	99.7%	(*.f64 (/.f64 x p) #s(literal 3/16 binary64))
✓	accuracy	95.6%	(cbrt.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x p) #s(literal 3/16 binary64))))

Results

125.0ms	196×	0	valid
15.0ms	60×	0	invalid

Compiler

Compiled 184 to 31 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-pow: 80.0ms (73.2% of total)

ival-mult: 12.0ms (11% of total)

ival-div: 6.0ms (5.5% of total)

ival-add: 5.0ms (4.6% of total)

ival-cbrt: 2.0ms (1.8% of total)

ival-sqrt: 2.0ms (1.8% of total)

ival-neg: 2.0ms (1.8% of total)

...in/eval/compile.rkt:70:19: 1.0ms (0.9% of total)

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

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

series68.0ms (0.7%)

Counts

18 → 372

Calls

Call 1

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

Outputs
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (*.f64 #s(literal 3/16 binary64) (/.f64 x p))>
#<alt (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64))>
#<alt (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 x p))) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 #s(literal -5/32 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) p))))) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) p))) (.f64 x (+.f64 (.f64 #s(literal -5/32 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 55/384 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 p #s(literal 3 binary64))))))))) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))>
#<alt (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 3/16 binary64) p)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 3/16 binary64) p)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 #s(literal 1/9 binary64) (/.f64 (.f64 p (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 3/16 binary64) p)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))) x)))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 3/16 binary64) p)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal 1/9 binary64) (/.f64 (.f64 p (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 3/16 binary64) p)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))) x)) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 3/16 binary64) p)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/162 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 3/16 binary64) p)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal 1/9 binary64) (/.f64 (.f64 p (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 3/16 binary64) p)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))) x)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 3/16 binary64) p)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/162 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 3/16 binary64) p)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal -1/243 binary64) (pow.f64 p #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/4374 binary64) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 4/243 binary64) (pow.f64 p #s(literal 3 binary64)))))) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (neg.f64 (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) p)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (neg.f64 (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) p)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/9 binary64) (/.f64 (.f64 p (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (neg.f64 (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) p)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) x)))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (neg.f64 (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) p)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (neg.f64 (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) p)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/162 binary64) (pow.f64 p #s(literal 2 binary64))))) x)) (.f64 #s(literal -1/9 binary64) (.f64 p (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (neg.f64 (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) p)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))))) x)))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (neg.f64 (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) p)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (neg.f64 (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) p)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (.f64 #s(literal -4/243 binary64) (pow.f64 p #s(literal 3 binary64))) (+.f64 (.f64 #s(literal -1/4374 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 #s(literal 1/243 binary64) (pow.f64 p #s(literal 3 binary64)))))) x)) (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (neg.f64 (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) p)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/162 binary64) (pow.f64 p #s(literal 2 binary64)))))) x)) (.f64 #s(literal -1/9 binary64) (.f64 p (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (neg.f64 (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) p)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))))) x)))>
#<alt (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal 3/16 binary64) x)) (*.f64 #s(literal -1 binary64) (log.f64 p)))))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal 3/16 binary64) x)) (.f64 #s(literal -1 binary64) (log.f64 p))))) (.f64 #s(literal 1/9 binary64) (/.f64 (.f64 p (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal 3/16 binary64) x)) (.f64 #s(literal -1 binary64) (log.f64 p)))))) x)))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal 3/16 binary64) x)) (.f64 #s(literal -1 binary64) (log.f64 p))))) (.f64 p (+.f64 (.f64 #s(literal -5/162 binary64) (/.f64 (.f64 p (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal 3/16 binary64) x)) (.f64 #s(literal -1 binary64) (log.f64 p)))))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/9 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal 3/16 binary64) x)) (*.f64 #s(literal -1 binary64) (log.f64 p))))) x)))))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal 3/16 binary64) x)) (.f64 #s(literal -1 binary64) (log.f64 p))))) (.f64 p (+.f64 (.f64 #s(literal 1/9 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal 3/16 binary64) x)) (.f64 #s(literal -1 binary64) (log.f64 p))))) x)) (.f64 p (+.f64 (.f64 #s(literal -5/162 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal 3/16 binary64) x)) (.f64 #s(literal -1 binary64) (log.f64 p))))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 55/4374 binary64) (/.f64 (.f64 p (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal 3/16 binary64) x)) (.f64 #s(literal -1 binary64) (log.f64 p)))))) (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64))>
#<alt (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 x p))) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))>
#<alt (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 x p))) (+.f64 (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64))))>
#<alt (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 x p))) (+.f64 (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 #s(literal -3/64 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 p #s(literal 3 binary64)))) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))))>
#<alt (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64))>
#<alt (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 x p))) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64)))) p))) (.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) x))) p)) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 #s(literal -1/384 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 3/64 binary64) (pow.f64 x #s(literal 3 binary64))))) p))) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64)))))) p)) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) x))) p)) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 x (.f64 p (cbrt.f64 #s(literal 1/4 binary64))))))>
#<alt (+.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 (cbrt.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (cbrt.f64 #s(literal 1/4 binary64))))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal 5/3072 binary64) (/.f64 x (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64))))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 p (cbrt.f64 #s(literal 1/4 binary64))))))))>
#<alt (*.f64 (cbrt.f64 (/.f64 x p)) (cbrt.f64 #s(literal 3/16 binary64)))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 p x)>
#<alt (/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 p x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (/.f64 p x)>
#<alt (.f64 p (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 p (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 p (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64))) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 p x)>
#<alt (/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (+.f64 p (*.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 p x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) p) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (.f64 p (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 p (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 p (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) x))))>
#<alt (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) x))))>
#<alt (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) x))))>
#<alt (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) x)) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 p (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) p) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) p) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) p) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) p)) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) p)) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) p)) x))>

Calls

102 calls:

Time	Variable		Point	Expression
13.0ms	x	@	0	(* (/ x p) 3/16)
4.0ms	p	@	inf	(* (* (/ p x) (/ p x)) -1/2)
4.0ms	x	@	inf	(* (/ x p) 3/16)
3.0ms	x	@	inf	(cbrt (+ 1/8 (* (/ x p) 3/16)))
3.0ms	x	@	-inf	(cbrt (+ 1/8 (* (/ x p) 3/16)))

rewrite364.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

415×	`log1p-expm1-u`
233×	`expm1-log1p-u`
229×	`add-cube-cbrt`
226×	`pow1`
225×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	498
1	544	464
2	7654	464

Stop Event

1×	node limit

Counts

18 → 622

Calls

Call 1

Inputs
(*.f64 (/.f64 x p) #s(literal 3/16 binary64))
(sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x p) #s(literal 3/16 binary64)))))
(cbrt.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x p) #s(literal 3/16 binary64))))
(/.f64 p x)
(.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64))
(*.f64 (/.f64 p x) (/.f64 p x))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64)))
(neg.f64 (+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
(*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
(pow.f64 (/.f64 p x) #s(literal 3 binary64))
(.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 p #s(literal 3 binary64))
(pow.f64 x #s(literal -2 binary64))
(+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x p) #s(literal 3/16 binary64)))
(+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p) x)
(neg.f64 (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p) x))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 3/16 binary64) p)))) #s(literal 1 binary64))
(/.f64 #s(literal 3/16 binary64) (/.f64 p x))
(/.f64 #s(literal 1 binary64) (/.f64 p (*.f64 x #s(literal 3/16 binary64))))
(/.f64 (*.f64 x #s(literal 3/16 binary64)) p)
(/.f64 (neg.f64 (*.f64 x #s(literal 3/16 binary64))) (neg.f64 p))
(/.f64 (*.f64 #s(literal 3/16 binary64) (neg.f64 x)) (neg.f64 p))
(/.f64 (*.f64 (neg.f64 x) #s(literal 3/16 binary64)) (neg.f64 p))
(/.f64 (/.f64 (*.f64 x #s(literal 3/16 binary64)) #s(literal 1 binary64)) p)
(/.f64 (/.f64 (*.f64 x #s(literal 3/16 binary64)) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 p))
(/.f64 (/.f64 (*.f64 x #s(literal 3/16 binary64)) (sqrt.f64 p)) (sqrt.f64 p))
(pow.f64 (*.f64 x (/.f64 #s(literal 3/16 binary64) p)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 3/16 binary64) p))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 3/16 binary64) p)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 3/16 binary64) p))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 3/16 binary64) p)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (/.f64 #s(literal 3/16 binary64) p))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 3/16 binary64) p)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 3/16 binary64) p)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 3/16 binary64) p))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 3/16 binary64) p))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 3/16 binary64) p))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 #s(literal 3/16 binary64) p))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64)))) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64))) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64))))))
(pow.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64))) #s(literal 1/3 binary64))
(fabs.f64 (pow.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/6 binary64)))))
(cbrt.f64 (sqrt.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 (fma.f64 (/.f64 x p) #s(literal 3/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/6 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p))))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) (neg.f64 x))
(/.f64 (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) x)
(/.f64 (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) (neg.f64 x))
(/.f64 (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) (neg.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal -27/8 binary64))) (.f64 x (+.f64 (.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 9/4 binary64)) (.f64 p (-.f64 p (.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 p #s(literal 3 binary64))))))))
(/.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal -27/8 binary64))) (.f64 (neg.f64 x) (+.f64 (.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 9/4 binary64)) (.f64 p (-.f64 p (.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 p #s(literal 3 binary64))))))))
(/.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 9/4 binary64)) (pow.f64 p #s(literal 2 binary64))) (.f64 x (-.f64 (.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 p #s(literal 3 binary64))) p)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 9/4 binary64)) (pow.f64 p #s(literal 2 binary64))) (.f64 (neg.f64 x) (-.f64 (.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 p #s(literal 3 binary64))) p)))
(/.f64 (.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal -27/8 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 9/4 binary64)) (.f64 p (-.f64 p (.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 p #s(literal 3 binary64)))))) x))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 9/4 binary64)) (pow.f64 p #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 p #s(literal 3 binary64))) p) x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p))) (neg.f64 x))
(/.f64 (.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal -27/8 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 9/4 binary64)) (.f64 p (-.f64 p (.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 9/4 binary64)) (pow.f64 p #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 p #s(literal 3 binary64))) p))
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)) #s(literal 1 binary64)))

simplify677.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

682×	`times-frac`
549×	`fma-define`
342×	`*-commutative`
210×	`distribute-rgt-in`
194×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1467	42369
1	3448	40621

Stop Event

1×	node limit

Counts

994 → 812

Calls

Call 1

Inputs
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 x p))) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))
(+.f64 (.f64 x (+.f64 (.f64 #s(literal -5/32 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) p))))) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))
(+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) p))) (.f64 x (+.f64 (.f64 #s(literal -5/32 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 55/384 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 p #s(literal 3 binary64))))))))) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))
(exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 3/16 binary64) p)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))
(+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 3/16 binary64) p)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 #s(literal 1/9 binary64) (/.f64 (.f64 p (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 3/16 binary64) p)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))) x)))
(+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 3/16 binary64) p)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal 1/9 binary64) (/.f64 (.f64 p (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 3/16 binary64) p)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))) x)) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 3/16 binary64) p)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/162 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 3/16 binary64) p)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal 1/9 binary64) (/.f64 (.f64 p (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 3/16 binary64) p)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))) x)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 3/16 binary64) p)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/162 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 3/16 binary64) p)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal -1/243 binary64) (pow.f64 p #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/4374 binary64) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 4/243 binary64) (pow.f64 p #s(literal 3 binary64)))))) (pow.f64 x #s(literal 3 binary64))))))
(exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (neg.f64 (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) p)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (neg.f64 (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) p)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/9 binary64) (/.f64 (.f64 p (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (neg.f64 (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) p)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) x)))
(+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (neg.f64 (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) p)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (neg.f64 (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) p)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/162 binary64) (pow.f64 p #s(literal 2 binary64))))) x)) (.f64 #s(literal -1/9 binary64) (.f64 p (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (neg.f64 (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) p)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))))) x)))
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(exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal 3/16 binary64) x)) (*.f64 #s(literal -1 binary64) (log.f64 p)))))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) (sqrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) x))
(.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) (cbrt.f64 x)))
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(.f64 (neg.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x))) (sqrt.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x))) (sqrt.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p))))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) (neg.f64 x))
(/.f64 (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) x)
(/.f64 (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) (neg.f64 x))
(/.f64 (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) (neg.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal -27/8 binary64))) (.f64 x (+.f64 (.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 9/4 binary64)) (.f64 p (-.f64 p (.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 p #s(literal 3 binary64))))))))
(/.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal -27/8 binary64))) (.f64 (neg.f64 x) (+.f64 (.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 9/4 binary64)) (.f64 p (-.f64 p (.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 p #s(literal 3 binary64))))))))
(/.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 9/4 binary64)) (pow.f64 p #s(literal 2 binary64))) (.f64 x (-.f64 (.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 p #s(literal 3 binary64))) p)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 9/4 binary64)) (pow.f64 p #s(literal 2 binary64))) (.f64 (neg.f64 x) (-.f64 (.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 p #s(literal 3 binary64))) p)))
(/.f64 (.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal -27/8 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 9/4 binary64)) (.f64 p (-.f64 p (.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 p #s(literal 3 binary64)))))) x))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 9/4 binary64)) (pow.f64 p #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 p #s(literal 3 binary64))) p) x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p))) (neg.f64 x))
(/.f64 (.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal -27/8 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 9/4 binary64)) (.f64 p (-.f64 p (.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 9/4 binary64)) (pow.f64 p #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 p #s(literal 3 binary64))) p))
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(*.f64 #s(literal 3/16 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 3/16 binary64) p))
(pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 x p))) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64))) p) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))
(+.f64 (.f64 x (+.f64 (.f64 #s(literal -5/32 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) p))))) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))
(fma.f64 x (fma.f64 #s(literal -5/32 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) p)))) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) p) (.f64 #s(literal -5/32 binary64) (/.f64 (.f64 x (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64))) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))
(+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) p))) (.f64 x (+.f64 (.f64 #s(literal -5/32 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 55/384 binary64) (.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 p #s(literal 3 binary64))))))))) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/6 binary64)))
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(/.f64 (fma.f64 #s(literal -27/8 binary64) (pow.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (.f64 x (fma.f64 p (+.f64 p (.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))))) (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 9/4 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 9/4 binary64)) (pow.f64 p #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 p #s(literal 3 binary64))) p))
(/.f64 (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal -4 binary64)))) (pow.f64 p #s(literal 2 binary64))) (.f64 x (-.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64)))) p)))
(/.f64 (-.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 9/4 binary64))) (pow.f64 p #s(literal 2 binary64))) (.f64 x (fma.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) (neg.f64 p))))
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) p) x)
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) p) x)
(/.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) (neg.f64 x))
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) p) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) (neg.f64 x))
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) p) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) (neg.f64 x))
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) p) (neg.f64 x))
(pow.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) p) x)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)) #s(literal 3 binary64))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) p) x)
(pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) p) x)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) p) x)
(pow.f64 (/.f64 x (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p)) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) p) x)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) p) x))
(log.f64 (exp.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) p) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x))))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) p) x)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x) #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) p) x)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) p) x)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) p) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) p) x)
(exp.f64 (log.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) p) x)
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) p) x)
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -2 binary64))) p) x)

eval323.0ms (3.1%)

Compiler: Compiled 19548 to 3918 computations (80% saved)

prune213.0ms (2%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	1019	2	1021
Fresh	0	0	0
Picked	2	3	5
Done	0	6	6
Total	1021	11	1032

Accuracy

100.0%

Counts

1032 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	25.5%	(/.f64 p (neg.f64 x))
✓	5.4%	(/.f64 p x)
	25.2%	(-.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64)) (/.f64 p x))
✓	26.3%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64)))
✓	25.4%	(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
✓	53.4%	(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 1/2 binary64)))
✓	79.4%	(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))))))
✓	53.1%	(sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x p) #s(literal 3/16 binary64)))))
✓	57.4%	(sqrt.f64 #s(literal 1/2 binary64))
	25.1%	(neg.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) p) (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
✓	36.1%	#s(literal 1 binary64)

Compiler

Compiled 300 to 171 computations (43% saved)

regimes48.0ms (0.5%)

Counts

20 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 p x)
(/.f64 p (neg.f64 x))
(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64)) (/.f64 p x))
(neg.f64 (+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
(neg.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) p) (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
(sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x p) #s(literal 3/16 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(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))))))
(neg.f64 (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p) x))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x 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))
(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 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))

Outputs

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

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

Calls

7 calls:

14.0ms	x
6.0ms	p
5.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
5.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
5.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))

Results

Accuracy	Segments	Branch
81.6%	2	`p`
86.9%	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))))`
79.5%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`

Compiler

Compiled 80 to 56 computations (30% saved)

regimes6.0ms (0.1%)

Counts

15 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 p x)
(/.f64 p (neg.f64 x))
(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64)) (/.f64 p x))
(neg.f64 (+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
(neg.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) p) (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
(sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x p) #s(literal 3/16 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(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))))))

Outputs
(/.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))))))
(/.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))))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
86.9%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes24.0ms (0.2%)

Counts

14 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 p x)
(/.f64 p (neg.f64 x))
(*.f64 (neg.f64 p) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x p)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64)) (/.f64 p x))
(neg.f64 (+.f64 (/.f64 p x) (*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
(neg.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) p) (.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
(sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x p) #s(literal 3/16 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))

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

Calls

2 calls:

19.0ms	p
5.0ms	x

Results

Accuracy	Segments	Branch
77.2%	3	`p`
67.7%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	p

Results

Accuracy	Segments	Branch
54.7%	2	`x`
39.5%	2	`p`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -20.7b remaining (-50.7%)

Threshold costs -20.7b (-50.7%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	p

Results

Accuracy	Segments	Branch
36.1%	1	`p`
36.1%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999994721974	-0.014391827010503193

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch172.0ms (1.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
31.0ms	-2.1063860875035915e-89	-2.1127727300820507e-91
57.0ms	-75.13866949575223	-0.039173092303452416
74.0ms	-4.726921119983922e+93	-1.0092997201992053e+90

Results

63.0ms	47×	1	valid
61.0ms	115×	2	valid
16.0ms	185×	0	valid
7.0ms	21×	3	valid

Compiler

Compiled 528 to 387 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-sqrt: 43.0ms (32.8% of total)

ival-div: 34.0ms (26% of total)

ival-mult: 29.0ms (22.1% of total)

ival-add: 19.0ms (14.5% of total)

adjust: 5.0ms (3.8% of total)

...in/eval/compile.rkt:70:19: 1.0ms (0.8% of total)

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

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

bsearch92.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.0042633860204706e-13	1.6615902666236577e-12
74.0ms	1.456224942265874e-263	2.1715341733313224e-263

Results

69.0ms	38×	2	valid
9.0ms	104×	0	valid
3.0ms	9×	3	valid
2.0ms	9×	1	valid

Compiler

Compiled 120 to 109 computations (9.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-add: 62.0ms (81.5% of total)

ival-mult: 6.0ms (7.9% of total)

ival-sqrt: 4.0ms (5.3% of total)

ival-div: 2.0ms (2.6% of total)

adjust: 2.0ms (2.6% of total)

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

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

bsearch37.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	-5.426268330617951e-145	-3.717989232420226e-150

Results

22.0ms	112×	0	valid
4.0ms	15×	2	valid
3.0ms	17×	1	valid

Compiler

Compiled 121 to 100 computations (17.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sqrt: 16.0ms (65.7% of total)

ival-mult: 4.0ms (16.4% of total)

ival-add: 2.0ms (8.2% of total)

adjust: 1.0ms (4.1% of total)

ival-div: 1.0ms (4.1% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
13×	`+-commutative`
10×	`sub-neg`
10×	`neg-sub0`
10×	`neg-mul-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	354
1	90	344
2	106	344
3	127	340
4	144	340
5	155	340
6	161	340
7	163	340

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p) x)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))
(if (<=.f64 x #s(literal -899999999999999981143522658499169754175771488112791453977604077582223111871920995890626560000 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 x #s(literal -6530219459687219/2251799813685248 binary64)) (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 x #s(literal -5017028222478281/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 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 1169957112783595/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 3466232109999065/9903520314283042199192993792 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -2073099476525505/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832 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 -1/2 binary64)) (neg.f64 (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))) p) x)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 (+.f64 p (.f64 #s(literal -3/2 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))))) (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 x #s(literal -899999999999999981143522658499169754175771488112791453977604077582223111871920995890626560000 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 x #s(literal -6530219459687219/2251799813685248 binary64)) (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 x #s(literal -5017028222478281/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 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 x #s(literal -899999999999999981143522658499169754175771488112791453977604077582223111871920995890626560000 binary64)) (/.f64 p (neg.f64 x)) (if (or (<=.f64 x #s(literal -6530219459687219/2251799813685248 binary64)) (not (<=.f64 x #s(literal -5017028222478281/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)))) (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)))))) (/.f64 p (neg.f64 x))))
(if (or (<=.f64 x #s(literal -899999999999999981143522658499169754175771488112791453977604077582223111871920995890626560000 binary64)) (not (or (<=.f64 x #s(literal -6530219459687219/2251799813685248 binary64)) (not (<=.f64 x #s(literal -5017028222478281/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 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 (or (<=.f64 x #s(literal -899999999999999981143522658499169754175771488112791453977604077582223111871920995890626560000 binary64)) (and (not (<=.f64 x #s(literal -6530219459687219/2251799813685248 binary64))) (<=.f64 x #s(literal -5017028222478281/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 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 1169957112783595/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 3466232109999065/9903520314283042199192993792 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -2073099476525505/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832 binary64)) (/.f64 p (neg.f64 x)) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.3s (12.4%)

Rules

1027×	`log1p-expm1-u`
981×	`log1p-expm1-u`
981×	`expm1-log1p-u`
779×	`fma-define`
679×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	494
1	455	352
2	4423	352
0	1174	33889
1	3123	32319
0	950	17141
1	2059	16536
0	31	313
1	442	274
2	6547	274
0	48	458
1	116	442
2	225	422
3	459	414
4	806	414
5	1322	414
6	1990	414
7	2493	414
8	2750	414
9	3055	414
10	3173	414
11	3237	414
12	3243	414
13	3244	414

Stop Event

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

Compiler

Compiled 998 to 374 computations (62.5% saved)

preprocess53.0ms (0.5%)

Compiler: Compiled 436 to 276 computations (36.7% saved)

analyze504.0ms (4.8%)

sample2.4s (23.3%)

preprocess215.0ms (2.1%)

explain276.0ms (2.7%)

eval1.0ms (0%)

prune6.0ms (0.1%)

simplify16.0ms (0.2%)

localize145.0ms (1.4%)

series54.0ms (0.5%)

rewrite330.0ms (3.2%)

simplify363.0ms (3.5%)

eval108.0ms (1%)

prune110.0ms (1.1%)

simplify132.0ms (1.3%)

localize152.0ms (1.5%)

series48.0ms (0.5%)

rewrite275.0ms (2.6%)

simplify349.0ms (3.3%)

eval167.0ms (1.6%)

prune116.0ms (1.1%)

simplify164.0ms (1.6%)

localize95.0ms (0.9%)

series36.0ms (0.3%)

rewrite223.0ms (2.1%)

simplify228.0ms (2.2%)

eval77.0ms (0.7%)

prune83.0ms (0.8%)

simplify109.0ms (1%)

localize181.0ms (1.7%)

series68.0ms (0.7%)

rewrite364.0ms (3.5%)

simplify677.0ms (6.5%)

eval323.0ms (3.1%)

prune213.0ms (2%)

regimes48.0ms (0.5%)

regimes6.0ms (0.1%)

regimes24.0ms (0.2%)

regimes5.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch172.0ms (1.6%)

bsearch92.0ms (0.9%)

bsearch37.0ms (0.4%)

simplify48.0ms (0.5%)

soundness1.3s (12.4%)

preprocess53.0ms (0.5%)

end0.0ms (0%)

Profiling