Metrics for Given's Rotation SVD example

analyze759.0ms (7.2%)

Memory

-198.0MiB live, 790.2MiB allocated

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)

sample2.7s (25.3%)

Memory

89.6MiB live, 3 313.8MiB allocated

Samples

1.3s	6 200×	0	valid
479.0ms	1 012×	2	valid
236.0ms	460×	3	valid
188.0ms	584×	1	valid

Precisions

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

ival-mult: 420.0ms (29.9% of total)

...in/eval/compile.rkt:111:19: 366.0ms (26% of total)

ival-sqrt: 183.0ms (13% of total)

ival-add: 134.0ms (9.5% of total)

ival-div: 128.0ms (9.1% of total)

adjust: 62.0ms (4.4% of total)

ival-fabs: 49.0ms (3.5% of total)

ival-<: 40.0ms (2.8% of total)

ival-and: 11.0ms (0.8% of total)

...in/eval/compile.rkt:110:19: 10.0ms (0.7% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess201.0ms (1.9%)

Memory

-2.8MiB live, 115.6MiB allocated

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)

explain339.0ms (3.2%)

Memory

-3.0MiB live, 438.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
68	-	0	-	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`
21	-	0	-	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
20	-	1	(4.20676909857987e-188 -5.014922613199532e-30)	`(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	68	0
↳	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`	overflow	68
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	overflow	68
`+.f64`	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	cancellation	21	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	19	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	7
↳	`(.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	26
↳	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	underflow	26
↳	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`	underflow	11
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	underflow	65

Confusion

	Predicted +	Predicted -
+	40	0
-	68	148

Precision

0.37037037037037035

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	40	0	0
-	68	0	148

Precision?

0.37037037037037035

Recall?

1.0

Freqs

test

number	freq
0	148
1	108

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms	418×	0	valid
23.0ms	60×	2	valid
6.0ms	16×	3	valid
3.0ms	18×	1	valid

Compiler

Compiled 230 to 60 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-sqrt: 18.0ms (32.2% of total)

ival-mult: 16.0ms (28.7% of total)

ival-div: 12.0ms (21.5% of total)

ival-add: 6.0ms (10.7% of total)

adjust: 3.0ms (5.4% of total)

...in/eval/compile.rkt:110:19: 1.0ms (1.8% of total)

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

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

eval1.0ms (0%)

Memory: 1.6MiB live, 1.6MiB allocated
Compiler: Compiled 49 to 22 computations (55.1% saved)

prune1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify70.0ms (0.7%)

Memory

-18.8MiB live, 20.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

localize99.0ms (0.9%)

Memory

-2.4MiB live, 117.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
✓	accuracy	92.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
✓	accuracy	92.6%	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
✓	accuracy	75.3%	(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))

Samples

64.0ms	209×	0	valid
12.0ms	30×	2	valid
3.0ms	8×	3	valid
2.0ms	9×	1	valid

Compiler

Compiled 96 to 16 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 8.0ms (31.7% of total)

ival-div: 7.0ms (27.8% of total)

ival-sqrt: 5.0ms (19.8% of total)

ival-add: 3.0ms (11.9% of total)

adjust: 1.0ms (4% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series42.0ms (0.4%)

Memory

14.5MiB live, 53.4MiB allocated

Counts

7 → 120

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

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 x>
#<alt (+.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) x)))>
#<alt (+.f64 x (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 x (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) p)>
#<alt (.f64 p (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))>
#<alt (.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))>
#<alt (.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -2 binary64) p)>
#<alt (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 2 binary64) p)>
#<alt (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) p)) (.f64 #s(literal 2 binary64) p))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) p) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) p) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal -3/128 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 p (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 p (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (.f64 p (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 p (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (.f64 p (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (.f64 p (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) x))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 20 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 p #s(literal 3 binary64)))))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) p)) (.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))))) p)) (.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) p)) (.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -10 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 x p))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 x p)))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x)) p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x))) p)))>

Calls

33 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
2.0ms	x	@	-inf	(+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))
2.0ms	x	@	inf	(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
1.0ms	x	@	0	(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
1.0ms	p	@	0	(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))

rewrite425.0ms (4%)

Memory

-11.2MiB live, 347.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	236
1	269	173
2	3572	165

Stop Event

1×	node limit

Counts

7 → 193

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

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

simplify220.0ms (2.1%)

Memory

28.0MiB live, 301.9MiB allocated

Algorithm

1×	egg-herbie

Rules

473×	`fma-define`
385×	`associate-r`
383×	`*-commutative`
323×	`associate-l`
271×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	842	15608
1	2146	14977
2	7236	14937

Stop Event

1×	node limit

Counts

313 → 474

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

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

eval113.0ms (1.1%)

Memory: -9.9MiB live, 145.1MiB allocated
Compiler: Compiled 12 461 to 2 671 computations (78.6% saved)

prune72.0ms (0.7%)

Memory

14.1MiB live, 136.5MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	466	8	474
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	467	8	475

Accuracy

99.8%

Counts

475 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.5%	(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) x)
▶	12.7%	(sqrt.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
	85.3%	(sqrt.f64 (+.f64 (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
▶	51.1%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
	6.1%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
▶	85.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))))))
	42.5%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
▶	55.9%	(sqrt.f64 #s(literal 1/2 binary64))

Compiler

Compiled 166 to 132 computations (20.5% saved)

simplify456.0ms (4.3%)

Memory

5.3MiB live, 43.3MiB allocated

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 2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	12928	(sqrt.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
✓	cost-diff	0	(neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
✓	cost-diff	0	(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) x)
✓	cost-diff	-6272	(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))
✓	cost-diff	-6272	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
✓	cost-diff	0	(*.f64 x #s(literal 1/4 binary64))
✓	cost-diff	0	(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(hypot.f64 x (*.f64 p #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))
✓	cost-diff	128	(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))

Rules

1 518×	`fmm-def`
1 347×	`fma-define`
491×	`times-frac`
339×	`distribute-lft-neg-in`
247×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	525
1	70	517
2	166	505
3	339	497
4	566	497
5	852	497
6	1142	497
7	1601	497
8	2092	497
9	2507	497
10	2575	497
11	2773	497
12	4279	497
13	5652	497
14	6470	497
15	6764	497
16	6923	497
17	7003	497
18	7328	497
19	7468	497
20	7492	497
21	7492	497
22	7560	497
23	7560	497
24	7560	497
25	7646	497

Stop Event

1×	node limit

Calls

Call 1

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

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

localize167.0ms (1.6%)

Memory

-30.0MiB live, 193.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(pow.f64 p #s(literal 2 binary64))
✓	accuracy	90.6%	(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	71.2%	(sqrt.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
✓	accuracy	99.5%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
✓	accuracy	99.5%	(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/4 binary64))
✓	accuracy	94.0%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64)))))))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))
✓	accuracy	100.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))))))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64))))))

Samples

110.0ms	209×	0	valid
11.0ms	47×	0	invalid

Compiler

Compiled 160 to 29 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div: 19.0ms (35.2% of total)

ival-mult: 10.0ms (18.5% of total)

ival-sqrt: 8.0ms (14.8% of total)

ival-pow2: 5.0ms (9.3% of total)

ival-hypot: 4.0ms (7.4% of total)

ival-neg: 4.0ms (7.4% of total)

ival-add: 3.0ms (5.6% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series49.0ms (0.5%)

Memory

-15.4MiB live, 98.2MiB allocated

Counts

20 → 300

Calls

Call 1

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

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

Calls

90 calls:

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

rewrite302.0ms (2.9%)

Memory

19.1MiB live, 288.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

687×	`prod-diff`
245×	`log1p-expm1-u`
245×	`expm1-log1p-u`
241×	`pow1`
241×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	473
1	554	431
2	7837	431

Stop Event

1×	node limit

Counts

20 → 606

Calls

Call 1

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

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

simplify364.0ms (3.5%)

Memory

30.0MiB live, 646.5MiB allocated

Algorithm

1×	egg-herbie

Rules

796×	`times-frac`
475×	`*-commutative`
218×	`+-commutative`
192×	`associate-*r/`
189×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1731	36480
1	4307	35124

Stop Event

1×	node limit

Counts

906 → 1 072

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 (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))))
(+.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 (.f64 #s(literal 3/256 binary64) (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))))
(+.f64 #s(literal 1 binary64) (*.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 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 #s(literal -2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
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#s(literal 3 binary64)
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#s(literal 1 binary64)
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#s(literal 3 binary64)
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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#s(literal 1 binary64)
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#s(literal -1 binary64)
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(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(cbrt.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64))))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))

eval170.0ms (1.6%)

Memory: -15.5MiB live, 418.9MiB allocated
Compiler: Compiled 23 024 to 4 499 computations (80.5% saved)

prune224.0ms (2.1%)

Memory

9.3MiB live, 420.4MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1 083	9	1 092
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	1 086	14	1 100

Accuracy

100.0%

Counts

1 100 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.4%	(/.f64 (/.f64 (neg.f64 (pow.f64 p #s(literal 2 binary64))) (.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x)
	20.7%	(/.f64 (neg.f64 p) x)
▶	6.3%	(/.f64 p x)
	6.3%	(/.f64 #s(literal 1 binary64) (/.f64 x p))
▶	6.3%	(*.f64 p (/.f64 #s(literal 1 binary64) x))
	12.4%	(sqrt.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 p))) (pow.f64 x #s(literal 2 binary64))))
	32.7%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
▶	85.3%	(sqrt.f64 (+.f64 (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
✓	51.1%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
▶	15.1%	(sqrt.f64 (.f64 p (.f64 p (pow.f64 x #s(literal -2 binary64)))))
	51.1%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) p) #s(literal 2 binary64)))))
✓	85.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))))))
▶	42.5%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
✓	55.9%	(sqrt.f64 #s(literal 1/2 binary64))

Compiler

Compiled 244 to 184 computations (24.6% saved)

simplify14.0ms (0.1%)

Memory

-18.3MiB live, 23.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

20×	`associate-r`
17×	`associate-l`
16×	`fma-define`
9×	`*-commutative`
4×	`*-rgt-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	332
1	52	332
2	76	332
3	130	332
4	137	332

Stop Event

1×

saturated

Calls

Call 1

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

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

localize86.0ms (0.8%)

Memory

9.6MiB live, 207.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x #s(literal -2 binary64))
✓	accuracy	99.8%	(.f64 p (.f64 p (pow.f64 x #s(literal -2 binary64))))
✓	accuracy	99.7%	(*.f64 p (pow.f64 x #s(literal -2 binary64)))
✓	accuracy	64.0%	(sqrt.f64 (.f64 p (.f64 p (pow.f64 x #s(literal -2 binary64)))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(*.f64 p (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 p x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) p)
✓	accuracy	100.0%	(.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
✓	accuracy	92.9%	(sqrt.f64 (+.f64 (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	92.6%	(+.f64 (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))

Samples

36.0ms	209×	0	valid
13.0ms	29×	2	valid
5.0ms	9×	3	valid
3.0ms	9×	1	valid

Compiler

Compiled 104 to 23 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 11.0ms (27.1% of total)

ival-sqrt: 8.0ms (19.7% of total)

ival-div: 7.0ms (17.2% of total)

ival-hypot: 6.0ms (14.8% of total)

ival-pow: 5.0ms (12.3% of total)

ival-add: 2.0ms (4.9% of total)

adjust: 1.0ms (2.5% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series26.0ms (0.2%)

Memory

27.5MiB live, 65.9MiB allocated

Counts

15 → 228

Calls

Call 1

Inputs
#<alt (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))>
#<alt (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))>
#<alt (hypot.f64 x (*.f64 #s(literal 2 binary64) p))>
#<alt (*.f64 #s(literal 2 binary64) p)>
#<alt (/.f64 p x)>
#<alt (*.f64 p (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))>
#<alt (sqrt.f64 (.f64 p (.f64 p (pow.f64 x #s(literal -2 binary64)))))>
#<alt (.f64 p (.f64 p (pow.f64 x #s(literal -2 binary64))))>
#<alt (*.f64 p (pow.f64 x #s(literal -2 binary64)))>
#<alt (pow.f64 x #s(literal -2 binary64))>
#<alt (+.f64 (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))>
#<alt (sqrt.f64 (+.f64 (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 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) (/.f64 x p))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))>
#<alt (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))>
#<alt (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/2048 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 7 binary64)))) (.f64 #s(literal 3/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))>
#<alt #s(literal 1 binary64)>
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#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -10 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 x p))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 x p)))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x)) p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x))) p)))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/128 binary64) (/.f64 x (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/512 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<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)))>

Calls

69 calls:

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

rewrite273.0ms (2.6%)

Memory

-14.6MiB live, 182.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

898×	`log1p-expm1-u`
898×	`expm1-log1p-u`
274×	`prod-diff`
169×	`fmm-def`
140×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	275
1	357	266
2	4276	266

Stop Event

1×	node limit

Counts

15 → 411

Calls

Call 1

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

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

simplify226.0ms (2.1%)

Memory

-16.1MiB live, 451.5MiB allocated

Algorithm

1×	egg-herbie

Rules

696×	`associate-r`
523×	`fma-define`
409×	`times-frac`
268×	`*-commutative`
211×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1061	21829
1	2608	20851

Stop Event

1×	node limit

Counts

639 → 660

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

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) (neg.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(-.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x p) #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) (pow.f64 (/.f64 p 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 (.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) (pow.f64 (/.f64 x p) #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) (pow.f64 (/.f64 p 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) (-.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 (/.f64 x p) #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 (pow.f64 (/.f64 x p) #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))) (pow.f64 (/.f64 p 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 x p) #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))) (pow.f64 (/.f64 p 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 (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (/.f64 x p) #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) (neg.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(-.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x p) #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)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 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)))) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
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eval212.0ms (2%)

Memory: 12.4MiB live, 207.3MiB allocated
Compiler: Compiled 13 923 to 2 861 computations (79.5% saved)

prune164.0ms (1.6%)

Memory

-14.6MiB live, 228.2MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	658	2	660
Fresh	1	5	6
Picked	1	4	5
Done	0	3	3
Total	660	14	674

Accuracy

100.0%

Counts

674 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.4%	(/.f64 (/.f64 (neg.f64 (pow.f64 p #s(literal 2 binary64))) (.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x)
▶	20.7%	(/.f64 (neg.f64 p) x)
✓	6.3%	(/.f64 p x)
▶	6.3%	(/.f64 #s(literal 1 binary64) (/.f64 x p))
▶	33.1%	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
✓	6.3%	(*.f64 p (/.f64 #s(literal 1 binary64) x))
	12.4%	(sqrt.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 p))) (pow.f64 x #s(literal 2 binary64))))
▶	15.1%	(sqrt.f64 (/.f64 p (*.f64 (/.f64 x p) x)))
✓	85.3%	(sqrt.f64 (+.f64 (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
✓	51.1%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
▶	51.1%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) p) #s(literal 2 binary64)))))
✓	85.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))))))
✓	42.5%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
✓	55.9%	(sqrt.f64 #s(literal 1/2 binary64))

Compiler

Compiled 214 to 160 computations (25.2% saved)

simplify516.0ms (4.9%)

Memory

-14.7MiB live, 63.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
	cost-diff	-128	(/.f64 p x)
✓	cost-diff	0	(*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	6208	(pow.f64 (/.f64 p x) #s(literal 2 binary64))
✓	cost-diff	-6208	(/.f64 p (*.f64 (/.f64 x p) x))
✓	cost-diff	0	(/.f64 x p)
✓	cost-diff	0	(*.f64 (/.f64 x p) x)
✓	cost-diff	256	(sqrt.f64 (/.f64 p (*.f64 (/.f64 x p) x)))
✓	cost-diff	0	(/.f64 x p)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 x p))
✓	cost-diff	0	(neg.f64 p)
✓	cost-diff	0	(/.f64 (neg.f64 p) x)
✓	cost-diff	-6016	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) p) #s(literal 2 binary64))))
✓	cost-diff	-6016	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) p) #s(literal 2 binary64)))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) x) p)

Rules

1 158×	`fma-define`
886×	`fmm-def`
407×	`div-sub`
295×	`distribute-lft-in`
243×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	474
1	61	412
2	112	378
3	196	370
4	401	370
5	658	370
6	815	370
7	1197	370
8	1288	370
9	1512	370
10	2508	370
11	4453	370
12	5471	370
13	5982	370
14	6064	370
15	6080	370
16	6092	370
17	6461	370
18	6561	370
19	6569	370
20	6569	370
21	6569	370
22	6608	370
23	6637	370
24	6637	370
25	6637	370

Stop Event

1×

saturated

Calls

Call 1

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

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

localize160.0ms (1.5%)

Memory

29.1MiB live, 227.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(/.f64 p x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.7%	(pow.f64 (/.f64 p x) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 x p)
✓	accuracy	99.9%	(/.f64 p (*.f64 (/.f64 x p) x))
✓	accuracy	99.7%	(*.f64 (/.f64 x p) x)
✓	accuracy	71.2%	(sqrt.f64 (/.f64 p (*.f64 (/.f64 x p) x)))
✓	accuracy	100.0%	(/.f64 x p)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 x p))
✓	accuracy	100.0%	(/.f64 (neg.f64 p) x)
✓	accuracy	100.0%	(neg.f64 p)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) p) #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) p) #s(literal 2 binary64)))
✓	accuracy	94.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) p) #s(literal 2 binary64)))))

Samples

122.0ms	209×	0	valid
8.0ms	47×	0	invalid

Compiler

Compiled 127 to 26 computations (79.5% saved)

Precisions

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

ival-div: 22.0ms (55.7% of total)

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

ival-sqrt: 4.0ms (10.1% of total)

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

ival-pow2: 2.0ms (5.1% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series35.0ms (0.3%)

Memory

-22.7MiB live, 95.0MiB allocated

Counts

15 → 300

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(/ (* 1/2 x) p)
2.0ms	p	@	0	(/ (neg p) x)
2.0ms	x	@	-inf	(sqrt (* 1/2 (+ -1 (+ (/ (* 1/2 x) p) 2))))
1.0ms	p	@	0	(sqrt (* 1/2 (+ -1 (+ (/ (* 1/2 x) p) 2))))
1.0ms	x	@	inf	(sqrt (* 1/2 (+ -1 (+ (/ (* 1/2 x) p) 2))))

rewrite224.0ms (2.1%)

Memory

-8.2MiB live, 235.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

532×	`prod-diff`
330×	`log1p-expm1-u`
196×	`expm1-log1p-u`
193×	`pow1`
192×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	350
1	474	285
2	6779	285

Stop Event

1×	node limit

Counts

15 → 634

Calls

Call 1

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

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

simplify430.0ms (4.1%)

Memory

33.3MiB live, 510.6MiB allocated

Algorithm

1×	egg-herbie

Rules

780×	`times-frac`
441×	`associate-/r*`
404×	`associate-*r/`
331×	`fma-define`
301×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1035	22749
1	2284	22081

Stop Event

1×	node limit

Counts

934 → 641

Calls

Call 1

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

Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1/2 binary64) p))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 p #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/128 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/128 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 1/128 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 p #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 x p)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x p)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x p))))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) p)))))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(.f64 x (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x p)))))))
(.f64 x (fma.f64 #s(literal -1/8 binary64) (.f64 #s(literal 2 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) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) p))))))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 p x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))
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(.f64 (sqrt.f64 (+.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (.f64 x (/.f64 #s(literal 1/2 binary64) p)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) p))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal -3 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) p))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 3 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) p))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) p))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal -3 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) p))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) p))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal -3 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) p))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -3 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) p)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (.f64 (+.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal -1 binary64)) (+.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal -1 binary64))) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal -1 binary64)) (fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal -1 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal -1 binary64)) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x p)) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal -1 binary64)) (+.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal -1 binary64))) #s(literal 4 binary64)) (-.f64 (+.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal -1 binary64)) (fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal -1 binary64)) #s(literal -4 binary64)) (+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal -3 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal -1 binary64)) #s(literal -4 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal -3 binary64)))
(pow.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))) #s(literal 3 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))
(log.f64 (exp.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) p))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(exp.f64 (.f64 (log1p.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) p))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) p) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 2 binary64)) #s(literal -1 binary64))

eval146.0ms (1.4%)

Memory: -6.4MiB live, 263.9MiB allocated
Compiler: Compiled 11 071 to 2 556 computations (76.9% saved)

prune148.0ms (1.4%)

Memory

-27.7MiB live, 302.9MiB allocated

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	750	4	754
Fresh	0	2	2
Picked	3	2	5
Done	2	5	7
Total	755	13	768

Accuracy

100.0%

Counts

768 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.4%	(/.f64 (/.f64 (neg.f64 (pow.f64 p #s(literal 2 binary64))) (.f64 p (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x)
	20.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) p))
✓	20.7%	(/.f64 (neg.f64 p) x)
✓	6.3%	(/.f64 p x)
	33.1%	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 p x) (/.f64 x p)) #s(literal -1/2 binary64)))
	51.1%	(.f64 (sqrt.f64 (+.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
	12.4%	(sqrt.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 p))) (pow.f64 x #s(literal 2 binary64))))
✓	85.3%	(sqrt.f64 (+.f64 (.f64 (/.f64 x (hypot.f64 x (.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
✓	51.1%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
✓	51.1%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) p) #s(literal 2 binary64)))))
✓	85.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (hypot.f64 x (.f64 p #s(literal 2 binary64))))))))
✓	55.9%	(sqrt.f64 #s(literal 1/2 binary64))
	42.5%	#s(literal 1 binary64)

Compiler

Compiled 337 to 200 computations (40.7% saved)

regimes161.0ms (1.5%)

Memory

17.8MiB live, 95.9MiB allocated

Counts

24 → 2

Calls

Call 1

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

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

Calls

7 calls:

120.0ms	x
7.0ms	p
7.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
7.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
7.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))

Results

Accuracy	Segments	Branch
85.3%	1	`p`
85.3%	1	`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))))`
85.3%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`

Compiler

Compiled 80 to 56 computations (30% saved)

regimes15.0ms (0.1%)

Memory

-14.0MiB live, 25.4MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	p
6.0ms	x

Results

Accuracy	Segments	Branch
76.1%	2	`p`
71.8%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	p

Results

Accuracy	Segments	Branch
56.0%	2	`x`
42.5%	1	`p`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Accuracy

Total -25.0b remaining (-67.9%)

Threshold costs -25b (-67.9%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
42.5%	1	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999958	-0.0005026398456206517

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch23.0ms (0.2%)

Memory

-1.1MiB live, 41.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	7.50466875040519	1439803.1638458741

Samples

9.0ms	115×	0	valid
5.0ms	16×	2	valid
2.0ms	13×	1	valid

Compiler

Compiled 103 to 100 computations (2.9% saved)

Precisions

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

ival-mult: 4.0ms (33.4% of total)

ival-sqrt: 3.0ms (25.1% of total)

ival-add: 3.0ms (25.1% of total)

ival-div: 1.0ms (8.4% of total)

adjust: 1.0ms (8.4% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

bsearch58.0ms (0.6%)

Memory

-1.4MiB live, 37.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
56.0ms	-2.2400549596093064e-147	-2.553834429978136e-149

Samples

44.0ms	16×	2	valid
7.0ms	85×	0	valid
2.0ms	11×	1	valid

Compiler

Compiled 99 to 82 computations (17.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 43.0ms (87.7% of total)

ival-sqrt: 2.0ms (4.1% of total)

adjust: 1.0ms (2% of total)

ival-div: 1.0ms (2% of total)

ival-add: 1.0ms (2% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

simplify5.0ms (0%)

Memory

12.4MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	168
1	55	168
2	61	168
3	66	168
4	69	168
5	70	168

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 (neg.f64 p) x) (sqrt.f64 (+.f64 (.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(if (<=.f64 p #s(literal 4278419646001971/562949953421312 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 x #s(literal -6334470622716821/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104 binary64)) (/.f64 (neg.f64 p) 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)) (/.f64 (neg.f64 p) x) (sqrt.f64 (+.f64 (.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 (neg.f64 p) x) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (hypot.f64 x (*.f64 p #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(if (<=.f64 p #s(literal 4278419646001971/562949953421312 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(if (<=.f64 x #s(literal -6334470622716821/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104 binary64)) (/.f64 (neg.f64 p) x) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -6334470622716821/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104 binary64)) (/.f64 p (neg.f64 x)) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness824.0ms (7.8%)

Memory

-16.4MiB live, 861.7MiB allocated

Rules

802×	`log1p-expm1-u`
802×	`expm1-log1p-u`
796×	`times-frac`
696×	`associate-r`
666×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1731	36480
1	4307	35124
0	1061	21829
1	2608	20851
0	20	236
1	269	173
2	3572	165

Stop Event

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

Compiler

Compiled 346 to 145 computations (58.1% saved)

preprocess50.0ms (0.5%)

Memory: 18.5MiB live, 137.3MiB allocated
Compiler: Compiled 302 to 200 computations (33.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze759.0ms (7.2%)

sample2.7s (25.3%)

preprocess201.0ms (1.9%)

explain339.0ms (3.2%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify70.0ms (0.7%)

localize99.0ms (0.9%)

series42.0ms (0.4%)

rewrite425.0ms (4%)

simplify220.0ms (2.1%)

eval113.0ms (1.1%)

prune72.0ms (0.7%)

simplify456.0ms (4.3%)

localize167.0ms (1.6%)

series49.0ms (0.5%)

rewrite302.0ms (2.9%)

simplify364.0ms (3.5%)

eval170.0ms (1.6%)

prune224.0ms (2.1%)

simplify14.0ms (0.1%)

localize86.0ms (0.8%)

series26.0ms (0.2%)

rewrite273.0ms (2.6%)

simplify226.0ms (2.1%)

eval212.0ms (2%)

prune164.0ms (1.6%)

simplify516.0ms (4.9%)

localize160.0ms (1.5%)

series35.0ms (0.3%)

rewrite224.0ms (2.1%)

simplify430.0ms (4.1%)

eval146.0ms (1.4%)

prune148.0ms (1.4%)

regimes161.0ms (1.5%)

regimes15.0ms (0.1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

bsearch0.0ms (0%)

bsearch23.0ms (0.2%)

bsearch58.0ms (0.6%)

simplify5.0ms (0%)

soundness824.0ms (7.8%)

preprocess50.0ms (0.5%)

end0.0ms (0%)

Profiling