Metrics for Numeric.Log:$clog1p from log-domain-0.10.2.1, B

analyze176.0ms (2.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	75%	0%	0%	25%	0%	3
0%	0%	75%	0%	0%	25%	0%	4
0%	0%	75%	0%	0%	25%	0%	5
0%	0%	75%	0%	0%	25%	0%	6
0%	0%	75%	0%	0%	25%	0%	7
0%	0%	75%	0%	0%	25%	0%	8
0%	0%	75%	0%	0%	25%	0%	9
0%	0%	75%	0%	0%	25%	0%	10
0%	0%	75%	0%	0%	25%	0%	11
0%	0%	75%	0%	0%	25%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample679.0ms (9.4%)

Samples

496.0ms	8 253×	0	valid
0.0ms	3×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 270.0ms

ival-add: 97.0ms (36% of total)

ival-div: 96.0ms (35.6% of total)

ival-sqrt: 63.0ms (23.4% of total)

ival-true: 6.0ms (2.2% of total)

ival-assert: 5.0ms (1.9% of total)

...in/eval/compile.rkt:76:19: 3.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess154.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

204×	`fma-define`
110×	`fmm-def`
55×	`associate-l`
39×	`div-sub`
38×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	136
1	37	120
2	67	116
3	140	116
4	296	116
5	512	116
6	801	116
7	992	116
8	1054	116
9	1090	116
10	1091	116

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 x (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))

explain136.0ms (1.9%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))`
-	-	`(+.f64 x #s(literal 1 binary64))`
-	-	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
-	-	`#s(literal 1 binary64)`
-	-	`(sqrt.f64 (+.f64 x #s(literal 1 binary64)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 6.0ms (42.6% of total)

ival-div: 4.0ms (28.4% of total)

ival-sqrt: 4.0ms (28.4% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Rules

3×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	78
1	18	78

Stop Event

1×

saturated

Calls

Call 1

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

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

localize46.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	accuracy	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Samples

13.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 3.0ms (43.3% of total)

ival-div: 2.0ms (28.9% of total)

ival-sqrt: 2.0ms (28.9% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

series7.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))>
#<alt (sqrt.f64 (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>

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

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ x (+ 1 (sqrt (+ x 1))))
1.0ms	x	@	inf	(/ x (+ 1 (sqrt (+ x 1))))
1.0ms	x	@	-inf	(sqrt (+ x 1))
1.0ms	x	@	-inf	(+ 1 (sqrt (+ x 1)))
0.0ms	x	@	inf	(sqrt (+ x 1))

rewrite361.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

675×	`log1p-expm1-u`
675×	`expm1-log1p-u`
586×	`unpow-prod-down`
424×	`prod-diff`
311×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	73
1	137	68
2	1947	68

Stop Event

1×	node limit

Counts

4 → 274

Calls

Call 1

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

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

simplify287.0ms (4%)

Algorithm

1×	egg-herbie

Rules

476×	`fmm-def`
363×	`associate-r`
349×	`associate-l`
269×	`exp-prod`
251×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	786	4294978582
1	1706	4294977436
2	5929	4294977274

Stop Event

1×	node limit

Counts

322 → 461

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64)))))
(sqrt.f64 x)
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 (+.f64 (sqrt.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (+.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x)))
(+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x))) x)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
(sqrt.f64 x)
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
(sqrt.f64 x)
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
x
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(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (log1p.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log1p.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (hypot.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(.f64 (pow.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 1 binary64))))
(exp.f64 (log1p.f64 x))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 x)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 x)) #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))

Outputs
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal -5/128 binary64))) #s(literal -1/8 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 x)
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(-.f64 (+.f64 (sqrt.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(+.f64 (+.f64 (sqrt.f64 x) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 x) (*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(+.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
(+.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(+.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(neg.f64 (sqrt.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal -1 binary64) (sqrt.f64 x))
(+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x)))
(.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 x) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x)))
(-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) x) x))
(-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -1/2 binary64) x) x))
(+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x))) x)))
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#s(literal 2 binary64)
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(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
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(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
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(sqrt.f64 x)
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(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
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(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 x)
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(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))))
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(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
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(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 x)
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(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 x)
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
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(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
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(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 x #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
(+.f64 x #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 x #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 x #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(+.f64 x #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 x #s(literal 1 binary64))
(log.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 x #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))
(+.f64 x #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal -1 binary64) (+.f64 x #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(exp.f64 (log1p.f64 x))
(+.f64 x #s(literal 1 binary64))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(+.f64 x #s(literal 1 binary64))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 x)) #s(literal 3 binary64)))
(+.f64 x #s(literal 1 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1/2 binary64)))
(+.f64 x #s(literal 1 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 x)) #s(literal 1/3 binary64)))
(+.f64 x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))

eval155.0ms (2.1%)

Compiler: Compiled 8 266 to 1 752 computations (78.8% saved)

prune65.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	452	9	461
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	452	10	462

Accuracy

100.0%

Counts

462 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.4%	(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (-.f64 (+.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
▶	60.7%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
	62.3%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
	61.3%	(/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	61.8%	(/.f64 x #s(literal 2 binary64))
	40.5%	(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
▶	44.5%	(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
▶	88.4%	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (+.f64 x (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
▶	41.5%	(sqrt.f64 x)

Compiler

Compiled 199 to 138 computations (30.7% saved)

simplify92.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(+.f64 x #s(literal 1 binary64))
	cost-diff	0	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	-12544	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	cost-diff	-6272	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))
✓	cost-diff	-6272	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal -1/8 binary64))
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	cost-diff	128	(+.f64 x (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
✓	cost-diff	128	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (+.f64 x (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))

Rules

741×	`fma-define`
689×	`fmm-def`
595×	`unsub-neg`
289×	`distribute-lft-neg-out`
277×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	431
1	65	415
2	146	415
3	313	415
4	693	415
5	1488	415
6	3430	415
7	6606	415

Stop Event

1×	node limit

Calls

Call 1

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

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

localize154.0ms (2.1%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
	accuracy	100.0%	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	70.6%	(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/8 binary64))
✓	accuracy	82.4%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
	accuracy	100.0%	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.8%	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (+.f64 x (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
✓	accuracy	88.6%	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
✓	accuracy	70.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))

Samples

75.0ms	79×	1	valid
19.0ms	104×	0	valid
16.0ms	73×	0	invalid

Compiler

Compiled 140 to 26 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-pow: 55.0ms (60% of total)

ival-add: 14.0ms (15.3% of total)

ival-div: 7.0ms (7.6% of total)

ival-mult: 6.0ms (6.6% of total)

ival-sqrt: 4.0ms (4.4% of total)

adjust: 2.0ms (2.2% of total)

ival-sub: 2.0ms (2.2% of total)

...in/eval/compile.rkt:76:19: 1.0ms (1.1% of total)

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

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

series92.0ms (1.3%)

Counts

12 → 136

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* (/ x (+ 1 (pow (+ x 1) 3/2))) (+ x (+ 1 (- 1 (sqrt (+ x 1))))))
2.0ms	x	@	inf	(/ x (+ 1 (pow (+ x 1) 3/2)))
1.0ms	x	@	-inf	(/ x (+ 1 (pow (+ x 1) 3/2)))
1.0ms	x	@	inf	(* (/ x (+ 1 (pow (+ x 1) 3/2))) (+ x (+ 1 (- 1 (sqrt (+ x 1))))))
1.0ms	x	@	0	(* (/ x (+ 1 (pow (+ x 1) 3/2))) (+ x (+ 1 (- 1 (sqrt (+ x 1))))))

rewrite527.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

415×	`log1p-expm1-u`
228×	`expm1-log1p-u`
223×	`add-cube-cbrt`
219×	`add-exp-log`
218×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	290
1	497	278
2	7713	278

Stop Event

1×	node limit

Counts

12 → 397

Calls

Call 1

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

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

simplify406.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

649×	`fma-define`
511×	`distribute-rgt-in`
507×	`distribute-lft-in`
268×	`*-commutative`
220×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1215	23332
1	3111	21599

Stop Event

1×	node limit

Counts

533 → 701

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64)))))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 3/2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
(.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x))) x)) (.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 3/2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))) x)) (.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) x))))))
(*.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) x)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) x))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 x (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 x (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/8 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 3/16 binary64) x) #s(literal 3/8 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 3/16 binary64) (.f64 #s(literal -7/128 binary64) x))) #s(literal 3/8 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (sqrt.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 3/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (-.f64 (+.f64 (sqrt.f64 x) (.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (-.f64 (+.f64 (sqrt.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) (+.f64 x (.f64 #s(literal 3/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9/4 binary64) x))))) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) x)))) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (.f64 #s(literal 3/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -9/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 x) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 3/2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1/8 binary64) x)
(*.f64 #s(literal -1/8 binary64) x)
(*.f64 #s(literal -1/8 binary64) x)
(*.f64 #s(literal -1/8 binary64) x)
(*.f64 #s(literal -1/8 binary64) x)
(*.f64 #s(literal -1/8 binary64) x)
(*.f64 #s(literal -1/8 binary64) x)
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(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 x)))
(/.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 x)))
(/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (-.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)))

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

eval391.0ms (5.4%)

Compiler: Compiled 27 714 to 4 452 computations (83.9% saved)

prune430.0ms (5.9%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1 176	4	1 180
Fresh	2	2	4
Picked	1	4	5
Done	0	1	1
Total	1 179	11	1 190

Accuracy

100.0%

Counts

1 190 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.7%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
▶	62.3%	(/.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
▶	61.3%	(/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	61.8%	(/.f64 x #s(literal 2 binary64))
▶	61.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
▶	40.5%	(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
✓	44.5%	(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	61.5%	(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))))))
▶	40.3%	(*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
✓	41.5%	(sqrt.f64 x)

Compiler

Compiled 167 to 120 computations (28.1% saved)

simplify246.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6144	(*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
✓	cost-diff	-12544	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
✓	cost-diff	-6272	(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
✓	cost-diff	-6272	(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/16 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓	cost-diff	-6272	(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	-6272	(/.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))

Rules

1 739×	`fma-define`
270×	`associate-r`
269×	`distribute-lft-in`
241×	`div-sub`
225×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	405
1	59	381
2	100	381
3	184	368
4	370	368
5	622	368
6	827	368
7	961	368
8	1198	368
9	1711	368
10	2150	368
11	3596	368
12	4333	368
13	5108	368
14	5155	368
15	5162	368
16	5164	368
17	5954	368
18	5954	368

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
x
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
x
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
#s(literal 2 binary64)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))
#s(literal 1/2 binary64)
(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/16 binary64) x)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal 1 binary64)
(*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
x
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

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

localize91.0ms (1.3%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.7%	(*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/16 binary64) x)
✓	accuracy	100.0%	(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
✓	accuracy	93.4%	(/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))

Samples

49.0ms	183×	0	valid
12.0ms	73×	0	invalid

Compiler

Compiled 134 to 26 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-sub: 16.0ms (34.6% of total)

ival-div: 8.0ms (17.3% of total)

ival-mult: 8.0ms (17.3% of total)

...in/eval/compile.rkt:76:19: 7.0ms (15.1% of total)

ival-add: 4.0ms (8.7% of total)

ival-sqrt: 3.0ms (6.5% of total)

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

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

series260.0ms (3.6%)

Counts

15 → 118

Calls

Call 1

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

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/32 binary64) x) #s(literal 1/8 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/32 binary64) (.f64 #s(literal -1/128 binary64) x))) #s(literal 1/8 binary64)))))>
#<alt #s(literal 2 binary64)>
#<alt (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt #s(literal 2 binary64)>
#<alt (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 8 binary64) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x))) x)))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 32 binary64) (*.f64 #s(literal 128 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/8 binary64) x)>
#<alt (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal -1/8 binary64)>
#<alt (*.f64 #s(literal 1/16 binary64) x)>
#<alt (.f64 x (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/16 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))>
#<alt (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64))))>
#<alt (sqrt.f64 x)>
#<alt (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)>
#<alt (/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)>
#<alt (/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)>
#<alt (/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (-.f64 (sqrt.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (sqrt.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (sqrt.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (sqrt.f64 x) #s(literal 1 binary64))>
#<alt (sqrt.f64 x)>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64)))))>
#<alt (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 16 binary64) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 16 binary64) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 16 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (.f64 #s(literal 896 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 16 binary64) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 16 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 32 binary64)) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 16 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 896 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 32 binary64)) x))) (pow.f64 x #s(literal 2 binary64)))>

Calls

45 calls:

Time	Variable		Point	Expression
245.0ms	x	@	0	(/ x (+ (* x 1/2) 2))
2.0ms	x	@	inf	(* 1/16 x)
1.0ms	x	@	0	(* x (- (sqrt (/ 1 x)) (/ 1 x)))
1.0ms	x	@	-inf	(* x (- (sqrt (/ 1 x)) (/ 1 x)))
0.0ms	x	@	inf	(* x (- (* 1/16 x) 1/8))

rewrite267.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`log1p-expm1-u`
216×	`expm1-log1p-u`
211×	`add-cube-cbrt`
210×	`add-exp-log`
210×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	298
1	502	274
2	7090	274

Stop Event

1×	node limit

Counts

15 → 441

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/2 binary64))
(/.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 1/16 binary64) x)
(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))

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

simplify415.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

451×	`fma-define`
434×	`associate-r`
422×	`exp-prod`
393×	`associate-l`
276×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	980	15674
1	2151	13624
2	7396	13617

Stop Event

1×	node limit

Counts

559 → 613

Calls

Call 1

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

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

eval93.0ms (1.3%)

Compiler: Compiled 9 696 to 2 344 computations (75.8% saved)

prune87.0ms (1.2%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	671	3	674
Fresh	0	1	1
Picked	1	4	5
Done	0	5	5
Total	672	13	685

Accuracy

100.0%

Counts

685 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.3%	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
✓	60.7%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	62.3%	(/.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	61.3%	(/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	61.8%	(/.f64 x #s(literal 2 binary64))
✓	61.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓	40.5%	(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
✓	44.5%	(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
▶	61.5%	(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))))))
▶	40.3%	(*.f64 x (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
✓	41.5%	(sqrt.f64 x)
▶	4.9%	#s(literal 2 binary64)

Compiler

Compiled 112 to 83 computations (25.9% saved)

simplify152.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6144	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
✓	cost-diff	-6144	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
	cost-diff	0	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(pow.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	320	(*.f64 x (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))

Rules

1 144×	`fma-define`
653×	`fmm-def`
357×	`div-sub`
336×	`distribute-lft-neg-in`
316×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	389
1	67	357
2	149	351
3	316	337
4	721	337
5	1105	337
6	1335	337
7	1464	337
8	1609	337
9	1827	337
10	3204	337
11	4351	337
12	5699	337
13	7004	337

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 x (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
x
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
x
(+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
#s(literal 1 binary64)
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))
(+.f64 x #s(literal 1 binary64))
#s(literal 3/2 binary64)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
x
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

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

localize99.0ms (1.4%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
✓	accuracy	93.4%	(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))))))
	accuracy	88.6%	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
✓	accuracy	100.0%	(pow.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
✓	accuracy	99.7%	(*.f64 x (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))

Samples

57.0ms	255×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 127 to 27 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-pow: 10.0ms (28.4% of total)

ival-div: 9.0ms (25.6% of total)

ival-add: 9.0ms (25.6% of total)

ival-mult: 6.0ms (17% of total)

...in/eval/compile.rkt:76:19: 1.0ms (2.8% of total)

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

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

series11.0ms (0.1%)

Counts

9 → 96

Calls

Call 1

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

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

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* (/ x (+ 1 (pow (+ x 1) 3/2))) (+ 1 (* x (+ 1/2 (* x 1/8)))))
1.0ms	x	@	inf	(* (/ x (+ 1 (pow (+ x 1) 3/2))) (+ 1 (* x (+ 1/2 (* x 1/8)))))
1.0ms	x	@	0	(* x (+ (pow x -1/2) (/ -1 x)))
1.0ms	x	@	-inf	(+ 1 (pow (+ x 1) 3/2))
1.0ms	x	@	-inf	(* x (+ (pow x -1/2) (/ -1 x)))

rewrite225.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

420×	`log1p-expm1-u`
230×	`expm1-log1p-u`
222×	`add-cube-cbrt`
221×	`add-exp-log`
221×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	225
1	498	205
2	7719	205

Stop Event

1×	node limit

Counts

9 → 272

Calls

Call 1

Inputs
(*.f64 x (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))
(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))))))

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

simplify334.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

380×	`fmm-def`
316×	`fma-define`
287×	`*-commutative`
280×	`associate-r`
275×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	812	15158
1	2036	14047
2	6743	13967

Stop Event

1×	node limit

Counts

368 → 488

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
(*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 3/2 binary64) x))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 3/8 binary64) x))))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/16 binary64) x))))))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9/4 binary64) x)))) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -9/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 3/8 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/16 binary64) x))))))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9/4 binary64) x)))) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -9/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/32 binary64) x) #s(literal 1/8 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/32 binary64) (.f64 #s(literal -1/128 binary64) x))) #s(literal 1/8 binary64)))))
#s(literal 2 binary64)
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
#s(literal 2 binary64)
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 8 binary64) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x))) x)))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 32 binary64) (*.f64 #s(literal 128 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal -1/128 binary64) x))) #s(literal 1/8 binary64)))))
(*.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(.f64 x (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) x))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 3/16 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) x))))
(*.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -3/16 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 x) (/.f64 x (neg.f64 x)))
(+.f64 (/.f64 x (neg.f64 x)) (sqrt.f64 x))
(+.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (.f64 (/.f64 x (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 x) (/.f64 x (neg.f64 x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (/.f64 x (neg.f64 x)) #s(literal 3 binary64))) (+.f64 x (-.f64 (.f64 (/.f64 x (neg.f64 x)) (/.f64 x (neg.f64 x))) (.f64 (sqrt.f64 x) (/.f64 x (neg.f64 x))))))
(/.f64 (-.f64 x (*.f64 (/.f64 x (neg.f64 x)) (/.f64 x (neg.f64 x)))) (-.f64 (sqrt.f64 x) (/.f64 x (neg.f64 x))))
(/.f64 (.f64 x (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (+.f64 (sqrt.f64 x) (/.f64 x (neg.f64 x))) #s(literal 1 binary64))
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(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (neg.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x)) (/.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x))) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x)) (/.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x)))) (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x))))
(/.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(/.f64 (/.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(/.f64 (/.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (hypot.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)))) (hypot.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64))))
(pow.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))))
(exp.f64 (-.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (log1p.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(exp.f64 (.f64 (-.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (log1p.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x)))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x)))
(fma.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)))) (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)))) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x)))

Outputs
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(sqrt.f64 x)
(*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)))
(+.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)))
(+.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)))
(+.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (fma.f64 x (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (fma.f64 x (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (fma.f64 x (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)
(/.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) x)
(/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)
(/.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) x)
(/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)
(/.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) x)
(/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)
(/.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 3/2 binary64) x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 x #s(literal 3/2 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 3/8 binary64) x))))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 x #s(literal 3/8 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/16 binary64) x))))))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 x #s(literal -1/16 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal 3/8 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9/4 binary64) x)))) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -9/4 binary64) x))) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
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(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -9/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -9/4 binary64) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 9/4 binary64) (/.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))) (pow.f64 x #s(literal 3 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 x #s(literal 3/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 3/8 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 x #s(literal 3/8 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/16 binary64) x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 x #s(literal -1/16 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal 3/8 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9/4 binary64) x)))) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9/4 binary64) x))) (.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -9/4 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -9/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -9/4 binary64) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 9/4 binary64) (/.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))) (pow.f64 x #s(literal 3 binary64)))))
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(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/32 binary64) x) #s(literal 1/8 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 1/32 binary64) x #s(literal -1/8 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/32 binary64) (.f64 #s(literal -1/128 binary64) x))) #s(literal 1/8 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/32 binary64) (*.f64 x #s(literal -1/128 binary64))) #s(literal -1/8 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/128 binary64) #s(literal 1/32 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (log1p.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (-.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (log1p.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x)))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x)))
(fma.f64 x (*.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x)))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x)))
(fma.f64 x (*.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x)))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x)))
(fma.f64 x (*.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x)))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x)))
(fma.f64 x (*.f64 x (/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)))) (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)))) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) x)))
(fma.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)))) (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)))) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))

eval194.0ms (2.7%)

Compiler: Compiled 15 291 to 2 827 computations (81.5% saved)

prune152.0ms (2.1%)

Pruning

13 alts after pruning (1 fresh and 12 done)

	Pruned	Kept	Total
New	697	1	698
Fresh	0	0	0
Picked	1	3	4
Done	0	9	9
Total	698	13	711

Accuracy

100.0%

Counts

711 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.3%	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
✓	60.7%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	62.3%	(/.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	61.3%	(/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	61.8%	(/.f64 x #s(literal 2 binary64))
✓	61.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓	40.5%	(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
✓	44.5%	(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	61.6%	(.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 x #s(literal 3/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))))))
✓	40.3%	(*.f64 x (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
✓	41.5%	(sqrt.f64 x)
✓	4.9%	#s(literal 2 binary64)

Compiler

Compiled 290 to 157 computations (45.9% saved)

regimes14.0ms (0.2%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
6.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes6.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

Outputs

(/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))

(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

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

Outputs

(/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))

(-.f64 (sqrt.f64 x) #s(literal 1 binary64))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

Outputs
(/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
(sqrt.f64 x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
(.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 x #s(literal 3/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))))))

Outputs
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
62.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))

Outputs
(/.f64 x #s(literal 2 binary64))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
61.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
4.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.7117494251199044e-6	3041529058555.68

Samples

7.0ms

160×

valid

Compiler

Compiled 262 to 210 computations (19.8% saved)

Precisions

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

ival-add: 2.0ms (48.2% of total)

ival-div: 1.0ms (24.1% of total)

ival-sqrt: 1.0ms (24.1% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.7117494251199044e-6	3041529058555.68

Samples

9.0ms

160×

valid

Compiler

Compiled 242 to 190 computations (21.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (49.6% of total)

ival-div: 1.0ms (16.5% of total)

ival-sqrt: 1.0ms (16.5% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.7117494251199044e-6	3041529058555.68

Samples

9.0ms

160×

valid

Compiler

Compiled 222 to 170 computations (23.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 3.0ms (52% of total)

ival-add: 2.0ms (34.7% of total)

ival-sqrt: 1.0ms (17.3% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	308
1	61	308
2	67	308
3	74	308
4	75	308

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 6456360425798343/4611686018427387904 binary64)) (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 8106479329266893/2251799813685248 binary64)) (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))) (sqrt.f64 x))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 6456360425798343/4611686018427387904 binary64)) (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 6456360425798343/4611686018427387904 binary64)) (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))))) (+.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(if (<=.f64 x #s(literal 8106479329266893/2251799813685248 binary64)) (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))) (sqrt.f64 x))
(if (<=.f64 x #s(literal 8106479329266893/2251799813685248 binary64)) (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))))) (sqrt.f64 x))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

soundness327.0ms (4.5%)

Rules

675×	`log1p-expm1-u`
675×	`expm1-log1p-u`
586×	`unpow-prod-down`
476×	`fmm-def`
424×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	786	4294978582
1	1706	4294977436
2	5929	4294977274
0	11	73
1	137	68
2	1947	68

Stop Event

1×	fuel
1×	node limit
1×	node limit

Compiler

Compiled 369 to 124 computations (66.4% saved)

preprocess43.0ms (0.6%)

Compiler: Compiled 196 to 80 computations (59.2% saved)

analyze176.0ms (2.4%)

sample679.0ms (9.4%)

preprocess154.0ms (2.1%)

explain136.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize46.0ms (0.6%)

series7.0ms (0.1%)

rewrite361.0ms (5%)

simplify287.0ms (4%)

eval155.0ms (2.1%)

prune65.0ms (0.9%)

simplify92.0ms (1.3%)

localize154.0ms (2.1%)

series92.0ms (1.3%)

rewrite527.0ms (7.3%)

simplify406.0ms (5.6%)

eval391.0ms (5.4%)

prune430.0ms (5.9%)

simplify246.0ms (3.4%)

localize91.0ms (1.3%)

series260.0ms (3.6%)

rewrite267.0ms (3.7%)

simplify415.0ms (5.7%)

eval93.0ms (1.3%)

prune87.0ms (1.2%)

simplify152.0ms (2.1%)

localize99.0ms (1.4%)

series11.0ms (0.1%)

rewrite225.0ms (3.1%)

simplify334.0ms (4.6%)

eval194.0ms (2.7%)

prune152.0ms (2.1%)

regimes14.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch17.0ms (0.2%)

bsearch16.0ms (0.2%)

bsearch15.0ms (0.2%)

simplify6.0ms (0.1%)

soundness327.0ms (4.5%)

preprocess43.0ms (0.6%)

end0.0ms (0%)

Profiling