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

analyze2.0ms (0%)

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
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
83.3%	62.5%	12.5%	0%	0%	25%	0%	4
91.7%	68.7%	6.2%	0%	0%	25%	0%	5
95.8%	71.8%	3.1%	0%	0%	25%	0%	6
97.9%	73.4%	1.6%	0%	0%	25%	0%	7
99%	74.2%	0.8%	0%	0%	25%	0%	8
99.5%	74.6%	0.4%	0%	0%	25%	0%	9
99.7%	74.8%	0.2%	0%	0%	25%	0%	10
99.9%	74.9%	0.1%	0%	0%	25%	0%	11
99.9%	74.9%	0%	0%	0%	25%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

const: 0.0ms (0% of total)

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

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

sample876.0ms (15%)

Results

600.0ms	8252×	0	valid
1.0ms	4×	2	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 430.0ms

ival-add: 272.0ms (63.3% of total)

ival-sqrt: 78.0ms (18.1% of total)

ival-div: 66.0ms (15.4% of total)

const: 11.0ms (2.6% of total)

backward-pass: 3.0ms (0.7% of total)

Bogosity

preprocess75.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

204×	`fma-define`
110×	`fma-neg`
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))))

explain60.0ms (1%)

FPErrors

Click to see full error table

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

Results

32.0ms

512×

valid

Compiler

Compiled 59 to 20 computations (66.1% saved)

Precisions

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

ival-add: 6.0ms (39.1% of total)

ival-div: 4.0ms (26.1% of total)

ival-sqrt: 4.0ms (26.1% of total)

const: 1.0ms (6.5% of total)

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

eval1.0ms (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)

localize31.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 8 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	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	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)))))

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))

Results

16.0ms

256×

valid

Compiler

Compiled 25 to 7 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 3.0ms (39.7% of total)

ival-div: 2.0ms (26.5% of total)

ival-sqrt: 2.0ms (26.5% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.2%)

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))))
2.0ms	x	@	-inf	(/ x (+ 1 (sqrt (+ x 1))))
1.0ms	x	@	-inf	(sqrt (+ x 1))
1.0ms	x	@	-inf	(+ 1 (sqrt (+ x 1)))
1.0ms	x	@	inf	(sqrt (+ x 1))

rewrite231.0ms (4%)

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

simplify171.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

476×	`fma-neg`
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 → 458

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
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
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(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 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 x)
(.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))))
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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))
(+.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(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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(expm1.f64 (log1p.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(expm1.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
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(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
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(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))

eval94.0ms (1.6%)

Compiler: Compiled 8175 to 1738 computations (78.7% saved)

prune72.0ms (1.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	448	10	458
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	448	11	459

Accuracy

100.0%

Counts

459 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.8%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
▶	72.0%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
▶	71.5%	(/.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)))))))
	97.5%	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	71.1%	(/.f64 x #s(literal 2 binary64))
▶	29.9%	(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
	35.7%	(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
▶	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) x)
	70.1%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
	30.7%	(sqrt.f64 x)

Compiler

Compiled 181 to 134 computations (26% saved)

localize290.0ms (5%)

Algorithm

1×	egg-herbie

Localize:

Found 28 expressions of interest:

New	Metric	Score	Program
✓	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	-6272	(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
✓	cost-diff	-6272	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(/.f64 x #s(literal 2 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	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) x)
✓	accuracy	100.0%	(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/16 binary64) x)
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
✓	accuracy	94.8%	(/.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 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #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	100.0%	(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) x)

Rules

264×	`fma-define`
40×	`associate-r`
39×	`associate-+r+`
31×	`associate-+l+`
30×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	408
1	60	378
2	93	378
3	202	378
4	421	378
5	649	378
6	682	378

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

186.0ms	165×	0	valid
31.0ms	91×	0	invalid

Compiler

Compiled 134 to 25 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 31.0ms (58.8% of total)

ival-div: 7.0ms (13.3% of total)

ival-add: 7.0ms (13.3% of total)

ival-sqrt: 4.0ms (7.6% of total)

ival-sub: 3.0ms (5.7% of total)

const: 1.0ms (1.9% of total)

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

series73.0ms (1.2%)

Counts

13 → 112

Calls

Call 1

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

Calls

39 calls:

Time	Variable		Point	Expression
52.0ms	x	@	0	(* 1/16 x)
1.0ms	x	@	-inf	(/ 1 (+ 1 (sqrt (+ x 1))))
1.0ms	x	@	0	(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
1.0ms	x	@	-inf	(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
1.0ms	x	@	inf	(/ x (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))

rewrite230.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

703×	`log1p-expm1-u`
218×	`expm1-log1p-u`
215×	`add-cube-cbrt`
213×	`add-exp-log`
213×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	260
1	503	248
2	7096	248

Stop Event

1×	node limit

Counts

13 → 360

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.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 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 x (hypot.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))) (hypot.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))
(/.f64 (*.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
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(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.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 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(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 (sqrt.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(*.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (+.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -1 binary64)))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
(/.f64 (neg.f64 (+.f64 x #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(pow.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(*.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) (sqrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64)) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 x #s(literal 1/128 binary64))))))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 x #s(literal 1/128 binary64)))) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64)) #s(literal -1/512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) #s(literal -1/64 binary64))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64)) #s(literal -1/512 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) (+.f64 #s(literal 1/64 binary64) (*.f64 x #s(literal 1/128 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64)) #s(literal -1/512 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) #s(literal -1/64 binary64)) (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) #s(literal -1/64 binary64)) (-.f64 (.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64)) #s(literal -1/512 binary64))) (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) (+.f64 #s(literal 1/64 binary64) (*.f64 x #s(literal 1/128 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
(pow.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/16 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/16 binary64))) (sqrt.f64 (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))

simplify218.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

420×	`associate-r`
399×	`associate-l`
397×	`fma-define`
284×	`*-commutative`
201×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	921	13712
1	2133	12769

Stop Event

1×	node limit

Counts

472 → 562

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 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) 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 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)
(/.f64 (-.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)) x)
(/.f64 (-.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))))))) x)
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.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 (+.f64 (sqrt.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (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)))))) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal -1 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 (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)) (+.f64 (.f64 #s(literal -1 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 (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)) (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))) 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 1/2 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)))
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(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64)) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 x #s(literal 1/128 binary64))))))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 x #s(literal 1/128 binary64)))) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64)) #s(literal -1/512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) #s(literal -1/64 binary64))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64)) #s(literal -1/512 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) (+.f64 #s(literal 1/64 binary64) (*.f64 x #s(literal 1/128 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64)) #s(literal -1/512 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) #s(literal -1/64 binary64)) (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) #s(literal -1/64 binary64)) (-.f64 (.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64)) #s(literal -1/512 binary64))) (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) (+.f64 #s(literal 1/64 binary64) (*.f64 x #s(literal 1/128 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
(pow.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/16 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/16 binary64))) (sqrt.f64 (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 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 (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 (sqrt.f64 x) (-.f64 (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 (sqrt.f64 x) (+.f64 (/.f64 (*.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 (+.f64 (sqrt.f64 x) (/.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 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (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) (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)))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (neg.f64 (/.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) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x)))
(-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) #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 #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)))
(.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 x) (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.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 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.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)))))) x))) x)))
(-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 x (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))) x)) x))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))
(+.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))
(+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.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))
(+.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 #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))))
(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 (/.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 (+.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)) x)
(/.f64 (+.f64 (sqrt.f64 x) (-.f64 (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))) x)
(/.f64 (+.f64 (sqrt.f64 x) (+.f64 (/.f64 (*.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))) x)
(/.f64 (-.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))))))) x)
(/.f64 (-.f64 (+.f64 (sqrt.f64 x) (/.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))))))) x)
(/.f64 (+.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 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (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) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x))
(neg.f64 (/.f64 (-.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)) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (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)))))) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))) x))
(neg.f64 (/.f64 (+.f64 (sqrt.f64 x) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (neg.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x))) x))
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)) (sqrt.f64 x)) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal -1 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 (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)) (+.f64 (.f64 #s(literal -1 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 (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)) (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))) x))
(neg.f64 (/.f64 (+.f64 (sqrt.f64 x) (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (.f64 (neg.f64 (sqrt.f64 x)) (.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))))))) x)) (.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)))))) x) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))) x))
(/.f64 (-.f64 (sqrt.f64 x) (+.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))) x) (*.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))) (neg.f64 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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(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(*.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) (sqrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64)) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 x #s(literal 1/128 binary64))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64) (+.f64 #s(literal 1/64 binary64) (.f64 x #s(literal 1/128 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64) #s(literal -1/512 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64) (fma.f64 x #s(literal 1/128 binary64) #s(literal 1/64 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64) #s(literal -1/64 binary64)) (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 x #s(literal 1/128 binary64)))) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64)) #s(literal -1/512 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64) (+.f64 #s(literal 1/64 binary64) (.f64 x #s(literal 1/128 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64) #s(literal -1/512 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64) (fma.f64 x #s(literal 1/128 binary64) #s(literal 1/64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) #s(literal -1/64 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64) #s(literal -1/64 binary64)) (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64)) #s(literal -1/512 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) (+.f64 #s(literal 1/64 binary64) (*.f64 x #s(literal 1/128 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64) (+.f64 #s(literal 1/64 binary64) (.f64 x #s(literal 1/128 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64) #s(literal -1/512 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64) (fma.f64 x #s(literal 1/128 binary64) #s(literal 1/64 binary64))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64)) #s(literal -1/512 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64) (+.f64 #s(literal 1/64 binary64) (.f64 x #s(literal 1/128 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64) #s(literal -1/512 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64) (fma.f64 x #s(literal 1/128 binary64) #s(literal 1/64 binary64))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) #s(literal -1/64 binary64)) (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64) #s(literal -1/64 binary64)) (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) #s(literal -1/64 binary64)) (-.f64 (.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64) #s(literal -1/64 binary64)) (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64)) #s(literal -1/512 binary64))) (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) (+.f64 #s(literal 1/64 binary64) (*.f64 x #s(literal 1/128 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64) #s(literal -1/512 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64) (+.f64 #s(literal 1/64 binary64) (*.f64 x #s(literal 1/128 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4096 binary64) #s(literal -1/512 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64) (fma.f64 x #s(literal 1/128 binary64) #s(literal 1/64 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64)) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/256 binary64) #s(literal -1/64 binary64)) (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
(pow.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 3 binary64))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 2 binary64))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)))))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 3 binary64)))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(fma.f64 x #s(literal 1/16 binary64) #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))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/16 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/16 binary64))) (sqrt.f64 (.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))

eval193.0ms (3.3%)

Compiler: Compiled 12767 to 3025 computations (76.3% saved)

prune376.0ms (6.5%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	766	5	771
Fresh	1	4	5
Picked	1	4	5
Done	0	1	1
Total	768	14	782

Accuracy

100.0%

Counts

782 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.0%	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
	70.8%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	72.0%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
✓	71.5%	(/.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)))))))
▶	97.5%	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	71.1%	(/.f64 x #s(literal 2 binary64))
✓	29.9%	(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
	35.7%	(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
▶	70.8%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))) x)
	71.5%	(.f64 (/.f64 #s(literal 1 binary64) (+.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)
	70.1%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))) x)
▶	30.7%	(sqrt.f64 x)
▶	4.7%	#s(literal 2 binary64)

Compiler

Compiled 214 to 163 computations (23.8% saved)

localize176.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 26 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	-12416	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))) x)
✓	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	-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	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))
✓	cost-diff	0	(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))))
	accuracy	100.0%	(sqrt.f64 x)
✓	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	99.2%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	accuracy	89.2%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))) x)
✓	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	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
✓	accuracy	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))))
✓	accuracy	99.7%	(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
✓	accuracy	98.2%	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))

Rules

44×	`fma-define`
12×	`*-commutative`
12×	`associate-r`
11×	`associate-l`
8×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	361
1	56	327
2	88	327
3	141	327
4	172	327
5	178	327

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))))
x
(+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 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 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))
(+.f64 x #s(literal 1 binary64))
#s(literal 1/6 binary64)
#s(literal 3 binary64)
#s(literal 2 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)
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))) x)
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.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))))
x
(+.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

Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))))
x
(+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 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 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))
(+.f64 x #s(literal 1 binary64))
#s(literal 1/6 binary64)
#s(literal 3 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 #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)
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))) x)
(.f64 x (/.f64 #s(literal 1 binary64) (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)))
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.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)))
x
(+.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

Results

71.0ms	163×	0	valid
22.0ms	91×	0	invalid
3.0ms	2×	5	exit

Compiler

Compiled 125 to 24 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-add: 35.0ms (51.2% of total)

ival-pow: 15.0ms (21.9% of total)

ival-div: 10.0ms (14.6% of total)

ival-mult: 5.0ms (7.3% of total)

ival-sqrt: 2.0ms (2.9% of total)

const: 1.0ms (1.5% of total)

backward-pass: 1.0ms (1.5% of total)

series99.0ms (1.7%)

Counts

13 → 144

Calls

Call 1

Inputs
#<alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))>
#<alt (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))>
#<alt (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))>
#<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 #s(literal 2 binary64) x)>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))) x)>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #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)))>

Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -5/72 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64))))))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/6 binary64))) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)))>
#<alt (+.f64 (.f64 #s(literal -5/72 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))) #s(literal 1/6 binary64))) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/6 binary64))) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))))>
#<alt (+.f64 (.f64 #s(literal -5/72 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))) #s(literal 1/6 binary64))) (+.f64 (.f64 #s(literal 55/1296 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 17 binary64))) #s(literal 1/6 binary64))) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/6 binary64))) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)))))>
#<alt (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x)))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (.f64 #s(literal 5/72 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x))) x)))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -5/72 binary64) (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (.f64 #s(literal 55/1296 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x))) x)) (.f64 #s(literal -1/6 binary64) (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))) x)))>
#<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 (*.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 (*.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 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 -3/128 binary64) x))) #s(literal 1/8 binary64)))))>
#<alt (/.f64 #s(literal -8 binary64) x)>
#<alt (.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 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 8 binary64)) x)>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 #s(literal 1536 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (/.f64 #s(literal -8 binary64) x)>
#<alt (.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 -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (+.f64 (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 256 binary64) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 #s(literal 1536 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 32 binary64)) x))) x))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -3/128 binary64) x))) #s(literal 1/8 binary64))))>
#<alt (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 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 -1 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 #s(literal 1536 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 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 -1 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (+.f64 (.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1536 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) x)>
#<alt (*.f64 #s(literal -1/8 binary64) x)>
#<alt (*.f64 #s(literal -1/8 binary64) x)>
#<alt (*.f64 #s(literal -1/8 binary64) x)>
#<alt (*.f64 #s(literal -1/8 binary64) x)>
#<alt (*.f64 #s(literal -1/8 binary64) x)>
#<alt (*.f64 #s(literal -1/8 binary64) x)>
#<alt (*.f64 #s(literal -1/8 binary64) x)>
#<alt (*.f64 #s(literal -1/8 binary64) x)>
#<alt (*.f64 #s(literal -1/8 binary64) x)>
#<alt (*.f64 #s(literal -1/8 binary64) x)>
#<alt (*.f64 #s(literal -1/8 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 #s(literal -1/8 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))>
#<alt (*.f64 #s(literal -1/8 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* x (+ 1/2 (* x -1/8)))
1.0ms	x	@	-inf	(pow (+ x 1) 1/6)
1.0ms	x	@	inf	(pow (+ x 1) 1/6)
0.0ms	x	@	-inf	(* (/ 1 (+ (* x (+ 1/2 (* x -1/8))) 2)) x)
0.0ms	x	@	inf	(* x (+ 1/2 (* x -1/8)))

rewrite225.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1117×	`log1p-expm1-u`
195×	`expm1-log1p-u`
190×	`pow1`
190×	`add-cube-cbrt`
189×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	266
1	441	236
2	6401	236

Stop Event

1×	node limit

Counts

13 → 371

Calls

Call 1

Inputs
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.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 #s(literal 2 binary64) x)
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))) x)
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #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)))

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

simplify461.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

459×	`fma-define`
455×	`associate-r`
432×	`associate-l`
251×	`associate-*r/`
243×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1058	15079
1	2442	13962

Stop Event

1×	node limit

Counts

515 → 651

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -5/72 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64))))))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/6 binary64))) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)))
(+.f64 (.f64 #s(literal -5/72 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))) #s(literal 1/6 binary64))) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/6 binary64))) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal -5/72 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))) #s(literal 1/6 binary64))) (+.f64 (.f64 #s(literal 55/1296 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 17 binary64))) #s(literal 1/6 binary64))) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/6 binary64))) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)))))
(exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x)))
(+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (.f64 #s(literal 5/72 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x))) x)))
(+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -5/72 binary64) (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (.f64 #s(literal 55/1296 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x))) x)) (.f64 #s(literal -1/6 binary64) (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))) x)))
#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))))))))
(*.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)))))
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(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/8 binary64)) x) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 #s(literal -1/16 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))
(pow.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 #s(literal -1/16 binary64) x)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 #s(literal -1/16 binary64) x))) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 #s(literal -1/16 binary64) x))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/8 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 #s(literal -1/16 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (cbrt.f64 (.f64 x #s(literal -1/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal -1/8 binary64))) (sqrt.f64 (.f64 x #s(literal -1/8 binary64))) #s(literal 1/2 binary64))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -5/72 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -5/72 binary64)))))
(fma.f64 x (fma.f64 x #s(literal -5/72 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal 55/1296 binary64) x #s(literal -5/72 binary64))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 1/6 binary64))
(+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/6 binary64))) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(+.f64 (.f64 #s(literal -5/72 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))) #s(literal 1/6 binary64))) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/6 binary64))) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))))
(fma.f64 #s(literal -5/72 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal -5/72 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))) #s(literal 1/6 binary64))) (+.f64 (.f64 #s(literal 55/1296 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 17 binary64))) #s(literal 1/6 binary64))) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/6 binary64))) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)))))
(fma.f64 #s(literal -5/72 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal 55/1296 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 17 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))))
(exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x)))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) x)))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (.f64 #s(literal 5/72 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x))) x)))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 5/72 binary64) (/.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) x))) x)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 #s(literal 5/72 binary64) (/.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) (*.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal -1/6 binary64))) x))
(+.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -5/72 binary64) (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (.f64 #s(literal 55/1296 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x))) x)) (.f64 #s(literal -1/6 binary64) (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))) x)))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -5/72 binary64) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) (.f64 #s(literal 55/1296 binary64) (/.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) x))) x) (.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal -1/6 binary64))) x)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal -1/6 binary64)) (/.f64 (fma.f64 #s(literal -5/72 binary64) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal 55/1296 binary64) (/.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x))) x)) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.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 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(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) (.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) (.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 1 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 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
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(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.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)))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))))
(+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/64 binary64))) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(*.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 #s(literal -1/16 binary64) x)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/16 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64) (*.f64 x #s(literal 1/16 binary64)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/64 binary64))) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 #s(literal -1/16 binary64) x))) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/8 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/16 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64) (*.f64 x #s(literal 1/16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/64 binary64))) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 #s(literal -1/16 binary64) x))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/16 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64) (*.f64 x #s(literal 1/16 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/8 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) x))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/16 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64) (*.f64 x #s(literal 1/16 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/64 binary64))) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 #s(literal -1/16 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1/8 binary64))) (+.f64 #s(literal -1/4 binary64) (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 x #s(literal 1/16 binary64))))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64))) (-.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64) (.f64 x #s(literal 1/16 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (cbrt.f64 (.f64 x #s(literal -1/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal -1/8 binary64))) (sqrt.f64 (.f64 x #s(literal -1/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))

eval227.0ms (3.9%)

Compiler: Compiled 10597 to 2644 computations (75% saved)

prune87.0ms (1.5%)

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	679	1	680
Fresh	0	4	4
Picked	1	4	5
Done	0	5	5
Total	680	14	694

Accuracy

100.0%

Counts

694 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.0%	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
▶	70.8%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	72.0%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
✓	71.5%	(/.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)))))))
▶	71.2%	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))))) #s(literal 3 binary64))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	71.1%	(/.f64 x #s(literal 2 binary64))
✓	29.9%	(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
▶	35.7%	(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	70.8%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))) x)
▶	71.5%	(.f64 (/.f64 #s(literal 1 binary64) (+.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)
▶	70.1%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))) x)
✓	30.7%	(sqrt.f64 x)
✓	4.7%	#s(literal 2 binary64)

Compiler

Compiled 201 to 153 computations (23.9% saved)

localize477.0ms (8.2%)

Algorithm

1×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-12544	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))))
✓	cost-diff	-6272	(-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64))
✓	cost-diff	-6272	(.f64 x (-.f64 (.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 55/1296 binary64) x)
	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	-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	-6272	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))
✓	cost-diff	-6272	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))) x)
	cost-diff	0	(*.f64 x #s(literal -1/8 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)
✓	accuracy	99.7%	(*.f64 #s(literal 55/1296 binary64) x)
✓	accuracy	99.6%	(.f64 x (-.f64 (.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))))
✓	accuracy	99.0%	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))))) #s(literal 3 binary64))))
	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
	accuracy	100.0%	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	35.7%	(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))
	accuracy	100.0%	(*.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	88.3%	(/.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 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))
	accuracy	100.0%	(*.f64 x #s(literal -1/8 binary64))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 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	99.8%	(/.f64 #s(literal 1 binary64) (+.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	95.0%	(.f64 (/.f64 #s(literal 1 binary64) (+.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)

Rules

573×	`sub-neg`
442×	`fma-neg`
421×	`distribute-lft-out`
359×	`div-sub`
346×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	812
1	95	710
2	198	710
3	572	710
4	2360	710
5	3192	710
6	3451	710
7	3522	710
8	3677	710
9	4226	710
10	4676	710
11	7383	710

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) (+.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 1 binary64) (+.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 1 binary64)
(+.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)))))
x
(+.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 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))) x)
(+.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))
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)))
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)
(+.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)
(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))))) #s(literal 3 binary64))))
x
(+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))))) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))))) #s(literal 3 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64))))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64))))
#s(literal 1/6 binary64)
(.f64 x (-.f64 (.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))
(-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64))
(*.f64 #s(literal 55/1296 binary64) x)
#s(literal 55/1296 binary64)
#s(literal 5/72 binary64)
#s(literal 3 binary64)

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (+.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 x (/.f64 #s(literal 1 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))))))))
(/.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 #s(literal 1 binary64) (+.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) (+.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 #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)))
#s(literal 1 binary64)
(+.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)))
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 (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 (+.f64 #s(literal 1/2 binary64) (.f64 x #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 #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))
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)))
(/.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)
(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
#s(literal -1 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))))) #s(literal 3 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal 55/1296 binary64) x #s(literal -5/72 binary64)))))) #s(literal 3 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
x
(+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))))) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal 55/1296 binary64) x #s(literal -5/72 binary64)))))) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))))) #s(literal 3 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal 55/1296 binary64) x #s(literal -5/72 binary64)))))) #s(literal 3 binary64))
(pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal 55/1296 binary64) x #s(literal -5/72 binary64))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal 55/1296 binary64) x #s(literal -5/72 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)))
(+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal 55/1296 binary64) x #s(literal -5/72 binary64))))
(fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(.f64 x (-.f64 (.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))
(*.f64 x (fma.f64 #s(literal 55/1296 binary64) x #s(literal -5/72 binary64)))
(*.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)))
(-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64))
(fma.f64 #s(literal 55/1296 binary64) x #s(literal -5/72 binary64))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(*.f64 #s(literal 55/1296 binary64) x)
(*.f64 x #s(literal 55/1296 binary64))
#s(literal 55/1296 binary64)
#s(literal 5/72 binary64)
#s(literal 3 binary64)

Results

137.0ms	176×	1	valid
33.0ms	80×	0	valid

Compiler

Compiled 266 to 39 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult: 33.0ms (33.6% of total)

ival-add: 21.0ms (21.4% of total)

backward-pass: 14.0ms (14.2% of total)

ival-div: 11.0ms (11.2% of total)

ival-pow: 7.0ms (7.1% of total)

ival-sub: 5.0ms (5.1% of total)

ival-sqrt: 4.0ms (4.1% of total)

const: 3.0ms (3.1% of total)

series17.0ms (0.3%)

Counts

10 → 100

Calls

Call 1

Inputs
#<alt (.f64 (/.f64 #s(literal 1 binary64) (+.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)>
#<alt (/.f64 #s(literal 1 binary64) (+.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 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))) x)>
#<alt (/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))>
#<alt (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))))) #s(literal 3 binary64))))>
#<alt (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))>
#<alt (*.f64 #s(literal 55/1296 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 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 #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)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))>
#<alt (+.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 3 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 16 binary64) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 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 3 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 3 binary64)))>
#<alt (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 16 binary64) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 32 binary64) (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 16 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (.f64 #s(literal 896 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x)) #s(literal 16 binary64)) (pow.f64 x #s(literal 3 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 #s(literal -1/8 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 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 1/16 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 -3/128 binary64) x))) #s(literal 1/8 binary64)))))>
#<alt (/.f64 #s(literal -8 binary64) x)>
#<alt (.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 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 8 binary64)) x)>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 #s(literal 1536 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (/.f64 #s(literal -8 binary64) x)>
#<alt (.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 -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (+.f64 (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 256 binary64) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 #s(literal 1536 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 32 binary64)) x))) 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 (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 (+.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 #s(literal 1 binary64) x)))>
#<alt (.f64 x (-.f64 (+.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 #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 (.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 #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 2176782336/166375 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 2176782336/166375 binary64) (*.f64 #s(literal 117546246144/1830125 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 8 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 2176782336/166375 binary64) (+.f64 (*.f64 #s(literal 117546246144/1830125 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 5642219814912/100656875 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 8 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2176782336/166375 binary64) (+.f64 (.f64 #s(literal 117546246144/1830125 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 5642219814912/100656875 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1506472690581504/1107225625 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 8 binary64)))>
#<alt (/.f64 #s(literal 2176782336/166375 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 2176782336/166375 binary64) (*.f64 #s(literal 117546246144/1830125 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 8 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 2176782336/166375 binary64) (+.f64 (*.f64 #s(literal 117546246144/1830125 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 5642219814912/100656875 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 8 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 2176782336/166375 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 5642219814912/100656875 binary64) (*.f64 #s(literal 1506472690581504/1107225625 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 117546246144/1830125 binary64)) x))) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -5/72 binary64) x)))>
#<alt (*.f64 #s(literal 55/1296 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 55/1296 binary64) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 55/1296 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 55/1296 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 55/1296 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 5/72 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 55/1296 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 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 5/72 binary64)) x)) #s(literal 55/1296 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 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 5/72 binary64)) x)) #s(literal 55/1296 binary64))))>
#<alt (*.f64 #s(literal -5/72 binary64) x)>
#<alt (*.f64 #s(literal 55/1296 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 55/1296 binary64) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 55/1296 binary64) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 55/1296 binary64) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 55/1296 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 55/1296 binary64) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 55/1296 binary64) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 55/1296 binary64) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal -5/72 binary64)>
#<alt (*.f64 #s(literal 55/1296 binary64) x)>
#<alt (.f64 x (-.f64 #s(literal 55/1296 binary64) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 55/1296 binary64) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 55/1296 binary64) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 55/1296 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 55/1296 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 55/1296 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 55/1296 binary64))))>

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* x (+ 1/6 (* x (- (* 55/1296 x) 5/72))))
1.0ms	x	@	inf	(/ x (+ 1 (pow (+ 1 (* x (+ 1/6 (* x (- (* 55/1296 x) 5/72))))) 3)))
1.0ms	x	@	-inf	(/ x (+ 1 (pow (+ 1 (* x (+ 1/6 (* x (- (* 55/1296 x) 5/72))))) 3)))
0.0ms	x	@	inf	(* x (+ 1/6 (* x (- (* 55/1296 x) 5/72))))
0.0ms	x	@	inf	(* x (- (* 55/1296 x) 5/72))

rewrite106.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

326×	`log1p-expm1-u`
326×	`expm1-log1p-u`
317×	`add-cube-cbrt`
315×	`add-exp-log`
315×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	322
1	727	286

Stop Event

1×	node limit

Counts

10 → 206

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) (+.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 1 binary64) (+.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 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))) x)
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))))) #s(literal 3 binary64))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))))
(.f64 x (-.f64 (.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))
(*.f64 #s(literal 55/1296 binary64) x)
(-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64))

Outputs
(-.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 (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) (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))))
(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))
(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)))
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(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 55/1296 binary64)) #s(literal -5/72 binary64))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(fma.f64 #s(literal 55/1296 binary64) x #s(literal -5/72 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 55/1296 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 55/1296 binary64))) #s(literal -5/72 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 55/1296 binary64))) (sqrt.f64 (.f64 x #s(literal 55/1296 binary64))) #s(literal -5/72 binary64))

simplify184.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

878×	`times-frac`
329×	`fma-neg`
289×	`associate-r`
243×	`associate-l`
231×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	715	11244
1	1744	10761
2	4957	10576

Stop Event

1×	node limit

Counts

306 → 385

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 #s(literal 16 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 16 binary64) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(/.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)))
(/.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)))
(/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 16 binary64) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(/.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)))
(/.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)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) 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 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 16 binary64) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(/.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 3 binary64)))
(/.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 3 binary64)))
(/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 16 binary64) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 32 binary64) (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 16 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (.f64 #s(literal 896 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x)) #s(literal 16 binary64)) (pow.f64 x #s(literal 3 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 #s(literal -1/8 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))
(*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 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 1/16 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 -3/128 binary64) x))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -8 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x))) x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 8 binary64)) x)
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 #s(literal 1536 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 #s(literal -8 binary64) x)
(.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 -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (+.f64 (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 256 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 #s(literal 1536 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 32 binary64)) x))) 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 -5/128 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 (+.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 #s(literal 1 binary64) x)))
(.f64 x (-.f64 (+.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 #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 (.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))))))
(.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))))))
(*.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 #s(literal 2176782336/166375 binary64) (pow.f64 x #s(literal 8 binary64)))
(/.f64 (+.f64 #s(literal 2176782336/166375 binary64) (*.f64 #s(literal 117546246144/1830125 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 8 binary64)))
(/.f64 (+.f64 #s(literal 2176782336/166375 binary64) (+.f64 (*.f64 #s(literal 117546246144/1830125 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 5642219814912/100656875 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 8 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 2176782336/166375 binary64) (+.f64 (.f64 #s(literal 117546246144/1830125 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 5642219814912/100656875 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1506472690581504/1107225625 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 8 binary64)))
(/.f64 #s(literal 2176782336/166375 binary64) (pow.f64 x #s(literal 8 binary64)))
(/.f64 (+.f64 #s(literal 2176782336/166375 binary64) (*.f64 #s(literal 117546246144/1830125 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 8 binary64)))
(/.f64 (+.f64 #s(literal 2176782336/166375 binary64) (+.f64 (*.f64 #s(literal 117546246144/1830125 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 5642219814912/100656875 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 8 binary64)))
(/.f64 (+.f64 #s(literal 2176782336/166375 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 5642219814912/100656875 binary64) (*.f64 #s(literal 1506472690581504/1107225625 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 117546246144/1830125 binary64)) x))) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -5/72 binary64) x)))
(*.f64 #s(literal 55/1296 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 55/1296 binary64) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 55/1296 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 55/1296 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 55/1296 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 55/1296 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 5/72 binary64)) x)) #s(literal 55/1296 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 5/72 binary64)) x)) #s(literal 55/1296 binary64))))
(*.f64 #s(literal -5/72 binary64) x)
(*.f64 #s(literal 55/1296 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 55/1296 binary64) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 55/1296 binary64) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 55/1296 binary64) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 55/1296 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 55/1296 binary64) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 55/1296 binary64) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 55/1296 binary64) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal -5/72 binary64)
(*.f64 #s(literal 55/1296 binary64) x)
(.f64 x (-.f64 #s(literal 55/1296 binary64) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (-.f64 #s(literal 55/1296 binary64) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (-.f64 #s(literal 55/1296 binary64) (.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 55/1296 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 55/1296 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 55/1296 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 5/72 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 55/1296 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 (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) (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))))
(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))
(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 (/.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))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 x #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)))))
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(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 x (hypot.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 (cbrt.f64 x) (hypot.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))))
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) x) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)))))
(+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (*.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) x))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)))) (.f64 x (.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) x) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x)) (-.f64 (.f64 (.f64 (.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) x) (.f64 (.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) x)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (*.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) x)))))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)))))
(fma.f64 #s(literal 1/6 binary64) x (.f64 (.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 55/1296 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 55/1296 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 55/1296 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 166375/2176782336 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 55/1296 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 55/1296 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 55/1296 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 55/1296 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 166375/2176782336 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 55/1296 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 55/1296 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 55/1296 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 55/1296 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 55/1296 binary64)) #s(literal -5/72 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) (sqrt.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 166375/2176782336 binary64)) #s(literal 125/373248 binary64)) (+.f64 (pow.f64 (.f64 x #s(literal 55/1296 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 25/5184 binary64) (.f64 (.f64 x #s(literal 55/1296 binary64)) #s(literal 5/72 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 55/1296 binary64)) #s(literal 2 binary64)) #s(literal 25/5184 binary64)) (fma.f64 x #s(literal 55/1296 binary64) #s(literal 5/72 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 166375/2176782336 binary64)) #s(literal 125/373248 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 x #s(literal 55/1296 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 25/5184 binary64) (.f64 (.f64 x #s(literal 55/1296 binary64)) #s(literal 5/72 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 55/1296 binary64)) #s(literal 2 binary64)) #s(literal 25/5184 binary64))) (neg.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal 5/72 binary64))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 166375/2176782336 binary64)) #s(literal -125/373248 binary64)) (+.f64 (pow.f64 (.f64 x #s(literal 55/1296 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 25/5184 binary64) (.f64 (.f64 x #s(literal 55/1296 binary64)) #s(literal -5/72 binary64)))))
(pow.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 55/1296 binary64)) #s(literal -5/72 binary64))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(fma.f64 #s(literal 55/1296 binary64) x #s(literal -5/72 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 55/1296 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 55/1296 binary64))) #s(literal -5/72 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 55/1296 binary64))) (sqrt.f64 (.f64 x #s(literal 55/1296 binary64))) #s(literal -5/72 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)))
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(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
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(exp.f64 (log.f64 (*.f64 x #s(literal 55/1296 binary64))))
(*.f64 x #s(literal 55/1296 binary64))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 55/1296 binary64))) #s(literal 1 binary64)))
(*.f64 x #s(literal 55/1296 binary64))
(+.f64 (*.f64 x #s(literal 55/1296 binary64)) #s(literal -5/72 binary64))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) (sqrt.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 166375/2176782336 binary64)) #s(literal 125/373248 binary64)) (+.f64 (pow.f64 (.f64 x #s(literal 55/1296 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 25/5184 binary64) (.f64 (.f64 x #s(literal 55/1296 binary64)) #s(literal 5/72 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 166375/2176782336 binary64) #s(literal -125/373248 binary64)) (+.f64 (pow.f64 (.f64 x #s(literal 55/1296 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 25/5184 binary64) (.f64 x #s(literal 275/93312 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 166375/2176782336 binary64) #s(literal -125/373248 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3025/1679616 binary64)) (fma.f64 x #s(literal 275/93312 binary64) #s(literal 25/5184 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 55/1296 binary64)) #s(literal 2 binary64)) #s(literal 25/5184 binary64)) (fma.f64 x #s(literal 55/1296 binary64) #s(literal 5/72 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 55/1296 binary64)) #s(literal 2 binary64)) #s(literal -25/5184 binary64)) (fma.f64 x #s(literal 55/1296 binary64) #s(literal 5/72 binary64)))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3025/1679616 binary64)) #s(literal -25/5184 binary64)) (fma.f64 x #s(literal 55/1296 binary64) #s(literal 5/72 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3025/1679616 binary64) #s(literal -25/5184 binary64)) (fma.f64 x #s(literal 55/1296 binary64) #s(literal 5/72 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 166375/2176782336 binary64)) #s(literal 125/373248 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 x #s(literal 55/1296 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 25/5184 binary64) (.f64 (.f64 x #s(literal 55/1296 binary64)) #s(literal 5/72 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 166375/2176782336 binary64) #s(literal -125/373248 binary64)) (+.f64 (pow.f64 (.f64 x #s(literal 55/1296 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 25/5184 binary64) (.f64 x #s(literal 275/93312 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 166375/2176782336 binary64) #s(literal -125/373248 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3025/1679616 binary64)) (fma.f64 x #s(literal 275/93312 binary64) #s(literal 25/5184 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 55/1296 binary64)) #s(literal 2 binary64)) #s(literal 25/5184 binary64))) (neg.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal 5/72 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 55/1296 binary64)) #s(literal 2 binary64)) #s(literal -25/5184 binary64)) (fma.f64 x #s(literal 55/1296 binary64) #s(literal 5/72 binary64)))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3025/1679616 binary64)) #s(literal -25/5184 binary64)) (fma.f64 x #s(literal 55/1296 binary64) #s(literal 5/72 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3025/1679616 binary64) #s(literal -25/5184 binary64)) (fma.f64 x #s(literal 55/1296 binary64) #s(literal 5/72 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 166375/2176782336 binary64)) #s(literal -125/373248 binary64)) (+.f64 (pow.f64 (.f64 x #s(literal 55/1296 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 25/5184 binary64) (.f64 (.f64 x #s(literal 55/1296 binary64)) #s(literal -5/72 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 166375/2176782336 binary64) #s(literal -125/373248 binary64)) (+.f64 (pow.f64 (.f64 x #s(literal 55/1296 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 25/5184 binary64) (.f64 x #s(literal 275/93312 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 166375/2176782336 binary64) #s(literal -125/373248 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3025/1679616 binary64)) (fma.f64 x #s(literal 275/93312 binary64) #s(literal 25/5184 binary64))))
(pow.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) #s(literal 3 binary64))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) #s(literal 2 binary64))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 2 binary64)))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(log.f64 (exp.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)))))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 3 binary64)))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(exp.f64 (log.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 55/1296 binary64)) #s(literal -5/72 binary64))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(fma.f64 #s(literal 55/1296 binary64) x #s(literal -5/72 binary64))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 55/1296 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 55/1296 binary64))) #s(literal -5/72 binary64))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 55/1296 binary64))) (sqrt.f64 (.f64 x #s(literal 55/1296 binary64))) #s(literal -5/72 binary64))
(fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64))

eval142.0ms (2.4%)

Compiler: Compiled 15694 to 3956 computations (74.8% saved)

prune116.0ms (2%)

Pruning

14 alts after pruning (0 fresh and 14 done)

	Pruned	Kept	Total
New	889	0	889
Fresh	0	0	0
Picked	0	5	5
Done	0	9	9
Total	889	14	903

Accuracy

100.0%

Counts

903 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.0%	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
✓	70.8%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	72.0%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
✓	71.5%	(/.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)))))))
✓	71.2%	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))))) #s(literal 3 binary64))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	71.1%	(/.f64 x #s(literal 2 binary64))
✓	29.9%	(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
✓	35.7%	(+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	70.8%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))) x)
✓	71.5%	(.f64 (/.f64 #s(literal 1 binary64) (+.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)
✓	70.1%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))) x)
✓	30.7%	(sqrt.f64 x)
✓	4.7%	#s(literal 2 binary64)

Compiler

Compiled 287 to 162 computations (43.6% saved)

regimes12.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))) x)
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #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 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) #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 (/.f64 #s(literal 1 binary64) (+.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)
(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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (-.f64 (*.f64 #s(literal 55/1296 binary64) x) #s(literal 5/72 binary64)))))) #s(literal 3 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))))

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

Calls

2 calls:

5.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
5.0ms	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)

regimes11.0ms (0.2%)

Counts

14 → 1

Calls

Call 1

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

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)))))
4.0ms	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

13 → 2

Calls

Call 1

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

12 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))) x)
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #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 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) #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 (/.f64 #s(literal 1 binary64) (+.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)
(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
99.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))) x)
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #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 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) #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 (/.f64 #s(literal 1 binary64) (+.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)
(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
98.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
72.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
71.1%	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
4.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch11.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.0003218524843275205	0.02329399894197905

Results

6.0ms

112×

valid

Compiler

Compiled 188 to 149 computations (20.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (32.9% of total)

ival-add: 1.0ms (32.9% of total)

ival-sqrt: 1.0ms (32.9% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.02329399894197905	538834.5165205695

Results

10.0ms

144×

valid

Compiler

Compiled 220 to 171 computations (22.3% saved)

Precisions

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

ival-add: 2.0ms (50% of total)

ival-div: 1.0ms (25% of total)

ival-sqrt: 1.0ms (25% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.02329399894197905	538834.5165205695

Results

7.0ms

144×

valid

Compiler

Compiled 202 to 153 computations (24.3% saved)

Precisions

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

ival-add: 2.0ms (51.2% of total)

ival-div: 1.0ms (25.6% of total)

ival-sqrt: 1.0ms (25.6% of total)

const: 0.0ms (0% of total)

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	343
1	64	343
2	70	343
3	77	343
4	78	343

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 7378697629483821/4611686018427387904 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 3 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 4165829655317709/1125899906842624 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) x)
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.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 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal 7378697629483821/4611686018427387904 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 7378697629483821/4611686018427387904 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 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 3 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 3 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 3 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 4165829655317709/1125899906842624 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 4165829655317709/1125899906842624 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)

soundness352.0ms (6%)

Rules

675×	`log1p-expm1-u`
675×	`expm1-log1p-u`
586×	`unpow-prod-down`
476×	`fma-neg`
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×	done
1×	node limit
1×	node limit

Compiler

Compiled 374 to 120 computations (67.9% saved)

preprocess51.0ms (0.9%)

Compiler: Compiled 216 to 84 computations (61.1% saved)

analyze2.0ms (0%)

sample876.0ms (15%)

preprocess75.0ms (1.3%)

explain60.0ms (1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize31.0ms (0.5%)

series10.0ms (0.2%)

rewrite231.0ms (4%)

simplify171.0ms (2.9%)

eval94.0ms (1.6%)

prune72.0ms (1.2%)

localize290.0ms (5%)

series73.0ms (1.2%)

rewrite230.0ms (3.9%)

simplify218.0ms (3.7%)

eval193.0ms (3.3%)

prune376.0ms (6.5%)

localize176.0ms (3%)

series99.0ms (1.7%)

rewrite225.0ms (3.9%)

simplify461.0ms (7.9%)

eval227.0ms (3.9%)

prune87.0ms (1.5%)

localize477.0ms (8.2%)

series17.0ms (0.3%)

rewrite106.0ms (1.8%)

simplify184.0ms (3.2%)

eval142.0ms (2.4%)

prune116.0ms (2%)

regimes12.0ms (0.2%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch11.0ms (0.2%)

bsearch16.0ms (0.3%)

bsearch20.0ms (0.3%)

simplify6.0ms (0.1%)

soundness352.0ms (6%)

preprocess51.0ms (0.9%)

end0.0ms (0%)

Profiling