Metrics for x / (x^2 + 1)

analyze0.0ms (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
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

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

sample713.0ms (35.9%)

Results

515.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 311.0ms

ival-div: 180.0ms (57.8% of total)

ival-mult: 69.0ms (22.2% of total)

ival-add: 48.0ms (15.4% of total)

const: 12.0ms (3.9% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess56.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

123×	`fma-define`
29×	`fma-neg`
23×	`associate-l`
21×	`times-frac`
15×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	100
1	39	100
2	75	100
3	149	100
4	271	100
5	410	100
6	501	100
7	503	100
8	515	100

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(negabs x)

explain70.0ms (3.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
77	-	-	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
0	-	-	`x`
0	-	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	-	`(*.f64 x x)`
0	-	-	`#s(literal 1 binary64)`

Results

30.0ms

512×

valid

Compiler

Compiled 46 to 23 computations (50% saved)

Precisions

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

ival-add: 5.0ms (34.6% of total)

ival-div: 4.0ms (27.7% of total)

ival-mult: 4.0ms (27.7% of total)

const: 1.0ms (6.9% of total)

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

eval0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.3%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize27.0ms (1.4%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	72.3%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Results

20.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-add: 3.0ms (40.7% of total)

ival-div: 2.0ms (27.2% of total)

ival-mult: 2.0ms (27.2% of total)

const: 1.0ms (13.6% of total)

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

series2.0ms (0.1%)

Counts

1 → 12

Calls

Call 1

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

Outputs
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ x (+ (* x x) 1))
0.0ms	x	@	0	(/ x (+ (* x x) 1))
0.0ms	x	@	-inf	(/ x (+ (* x x) 1))

rewrite218.0ms (11%)

Algorithm

1×	batch-egg-rewrite

Rules

500×	`log1p-expm1-u`
500×	`expm1-log1p-u`
459×	`unpow-prod-down`
435×	`pow1`
295×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	110	24
2	1432	24

Stop Event

1×	node limit

Counts

1 → 69

Calls

Call 1

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

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

simplify93.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

693×	`fma-neg`
417×	`div-sub`
404×	`associate-r`
393×	`associate-l`
252×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	3142
1	537	3036
2	1196	2974
3	4810	2974

Stop Event

1×	node limit

Counts

81 → 129

Calls

Call 1

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

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

eval30.0ms (1.5%)

Compiler: Compiled 1781 to 1242 computations (30.3% saved)

prune66.0ms (3.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	125	4	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	125	5	130

Accuracy

100.0%

Counts

130 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.3%	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
✓	72.3%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
▶	54.2%	(/.f64 #s(literal 1 binary64) x)
▶	47.9%	(-.f64 x (pow.f64 x #s(literal 3 binary64)))
▶	49.2%	x

Compiler

Compiled 32 to 22 computations (31.3% saved)

localize88.0ms (4.4%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	60.9%	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))

Results

68.0ms

256×

valid

Compiler

Compiled 49 to 33 computations (32.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-pow: 34.0ms (71.3% of total)

ival-sub: 4.0ms (8.4% of total)

ival-add: 4.0ms (8.4% of total)

ival-div: 3.0ms (6.3% of total)

const: 2.0ms (4.2% of total)

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

series2.0ms (0.1%)

Counts

1 → 12

Calls

Call 1

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

Outputs
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))>

Calls

3 calls:

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

rewrite95.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`log1p-expm1-u`
917×	`expm1-log1p-u`
430×	`log-prod`
414×	`fma-define`
214×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	169	40
2	2515	40

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

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

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

simplify90.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

611×	`fma-neg`
433×	`fma-define`
355×	`div-sub`
323×	`distribute-lft-in`
310×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	204	3363
1	456	3336
2	1368	3317
3	5316	3316

Stop Event

1×	node limit

Counts

75 → 108

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 x (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))

Outputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))))
(+.f64 x (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(+.f64 x (-.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 x (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (neg.f64 x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(fma.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (neg.f64 x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))

eval29.0ms (1.5%)

Compiler: Compiled 2038 to 1585 computations (22.2% saved)

prune23.0ms (1.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	108	5	113

Accuracy

100.0%

Counts

113 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.3%	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
✓	72.3%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	54.2%	(/.f64 #s(literal 1 binary64) x)
✓	47.9%	(-.f64 x (pow.f64 x #s(literal 3 binary64)))
✓	49.2%	x

Compiler

Compiled 60 to 40 computations (33.3% saved)

regimes6.0ms (0.3%)

Counts

5 → 2

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) x)

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
100.0%	2	`x`
99.9%	2	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes5.0ms (0.3%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`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
x

Outputs
x

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
49.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch3.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	103138.98177044535	1383530331.8804452

Results

1.0ms

32×

valid

Compiler

Compiled 48 to 36 computations (25% 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)

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

const: 0.0ms (0% of total)

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

bsearch3.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	103138.98177044535	1383530331.8804452

Results

1.0ms

32×

valid

Compiler

Compiled 40 to 28 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)

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

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.8%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.090321211897599e-7	1668.8542479164648

Results

7.0ms

160×

valid

Compiler

Compiled 92 to 68 computations (26.1% saved)

Precisions

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

ival-div: 1.0ms (26.4% of total)

ival-add: 1.0ms (26.4% of total)

ival-mult: 1.0ms (26.4% of total)

const: 0.0ms (0% of total)

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

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	142
1	37	142
2	40	142
3	42	142
4	43	142

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 20000000 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 20000000 binary64)) (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) x))
x

Outputs
(if (<=.f64 x #s(literal 20000000 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 20000000 binary64)) (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 20000000 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) x))
x

soundness267.0ms (13.4%)

Rules

693×	`fma-neg`
500×	`log1p-expm1-u`
500×	`expm1-log1p-u`
459×	`unpow-prod-down`
435×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	110	24
2	1432	24
0	250	3142
1	537	3036
2	1196	2974
3	4810	2974

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 355 to 221 computations (37.7% saved)

preprocess79.0ms (4%)

Compiler: Compiled 192 to 134 computations (30.2% saved)

x / (x^2 + 1)

analyze0.0ms (0%)

sample713.0ms (35.9%)

preprocess56.0ms (2.8%)

explain70.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize27.0ms (1.4%)

series2.0ms (0.1%)

rewrite218.0ms (11%)

simplify93.0ms (4.7%)

eval30.0ms (1.5%)

prune66.0ms (3.3%)

localize88.0ms (4.4%)

series2.0ms (0.1%)

rewrite95.0ms (4.8%)

simplify90.0ms (4.5%)

eval29.0ms (1.5%)

prune23.0ms (1.2%)

regimes6.0ms (0.3%)

regimes5.0ms (0.3%)

regimes2.0ms (0.1%)

regimes1.0ms (0%)

bsearch3.0ms (0.1%)

bsearch3.0ms (0.1%)

bsearch16.0ms (0.8%)

simplify3.0ms (0.2%)

soundness267.0ms (13.4%)

preprocess79.0ms (4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	100
1	39	100
2	75	100
3	149	100
4	271	100
5	410	100
6	501	100
7	503	100
8	515	100

Iter	Nodes	Cost
0	15	100
1	39	100
2	75	100
3	149	100
4	271	100
5	410	100
6	501	100
7	503	100
8	515	100

Iter	Nodes	Cost
0	15	100
1	39	100
2	75	100
3	149	100
4	271	100
5	410	100
6	501	100
7	503	100
8	515	100