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)

sample575.0ms (33.3%)

Results

381.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-mult: 69.0ms (35.7% of total)

ival-div: 59.0ms (30.5% of total)

ival-add: 51.0ms (26.4% of total)

const: 11.0ms (5.7% of total)

backward-pass: 3.0ms (1.6% of total)

Bogosity

preprocess54.0ms (3.1%)

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)

explain67.0ms (3.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
62	-	-	`(/.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

34.0ms

512×

256

valid

Compiler

Compiled 46 to 23 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-add: 8.0ms (46.7% of total)

ival-div: 4.0ms (23.3% of total)

ival-mult: 4.0ms (23.3% of total)

const: 1.0ms (5.8% 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
▶	77.2%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize26.0ms (1.5%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	77.2%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Results

19.0ms

256×

256

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (48.5% of total)

ival-add: 3.0ms (29.1% of total)

ival-div: 2.0ms (19.4% of total)

const: 1.0ms (9.7% 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))

rewrite188.0ms (10.9%)

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)))

simplify92.0ms (5.3%)

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 (1.8%)

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

prune18.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	126	3	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	126	4	130

Accuracy

100.0%

Counts

130 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.2%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
▶	54.3%	(/.f64 #s(literal 1 binary64) x)
▶	48.0%	(+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))
▶	48.7%	x

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize64.0ms (3.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	73.5%	(+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))

Results

51.0ms

256×

256

valid

Compiler

Compiled 31 to 20 computations (35.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-pow: 26.0ms (68.8% of total)

ival-sub: 8.0ms (21.2% of total)

ival-div: 2.0ms (5.3% of total)

ival-add: 1.0ms (2.6% of total)

const: 1.0ms (2.6% of total)

series2.0ms (0.1%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 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 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))>
#<alt (pow.f64 x #s(literal 5 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.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)))))>
#<alt (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.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)))))>
#<alt (pow.f64 x #s(literal 5 binary64))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.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)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.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)))))))>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (- x (pow x 3)) (pow x 5))
0.0ms	x	@	0	(+ (- x (pow x 3)) (pow x 5))
0.0ms	x	@	-inf	(+ (- x (pow x 3)) (pow x 5))

rewrite95.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`log1p-expm1-u`
732×	`expm1-log1p-u`
649×	`unpow-prod-down`
512×	`fma-define`
312×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	141	34
2	2076	34

Stop Event

1×	node limit

Counts

1 → 88

Calls

Call 1

Inputs
(+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))

Outputs
(-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(-.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))
(*.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (pow.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(*.f64 (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) (cbrt.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(.f64 (pow.f64 (.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)) (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64)))) (neg.f64 (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (+.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(pow.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))))
(log.f64 (*.f64 (exp.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 5 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))))) (exp.f64 (pow.f64 x #s(literal 5 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 5 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 5 binary64)))) (exp.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))))))
(log.f64 (/.f64 (exp.f64 x) (/.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) (exp.f64 (pow.f64 x #s(literal 5 binary64))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) (exp.f64 (pow.f64 x #s(literal 5 binary64))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(exp.f64 (log.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(fma.f64 x #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1 binary64) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(fma.f64 #s(literal 1 binary64) x (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 10 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 10 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (cbrt.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))
(fma.f64 (sqrt.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 5 binary64)))

simplify385.0ms (22.3%)

Algorithm

1×	egg-herbie

Rules

735×	`fma-neg`
486×	`distribute-lft-in`
485×	`distribute-rgt-in`
379×	`fma-define`
271×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	263	5763
1	563	5227
2	1509	4869
3	6324	4760

Stop Event

1×	node limit

Counts

100 → 125

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 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(pow.f64 x #s(literal 5 binary64))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.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)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.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)))))
(pow.f64 x #s(literal 5 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.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)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.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)))))))
(-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(-.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))
(*.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (pow.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(*.f64 (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) (cbrt.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(.f64 (pow.f64 (.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)) (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64)))) (neg.f64 (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (+.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(pow.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))))
(log.f64 (*.f64 (exp.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 5 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))))) (exp.f64 (pow.f64 x #s(literal 5 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 5 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 5 binary64)))) (exp.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))))))
(log.f64 (/.f64 (exp.f64 x) (/.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) (exp.f64 (pow.f64 x #s(literal 5 binary64))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) (exp.f64 (pow.f64 x #s(literal 5 binary64))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(exp.f64 (log.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(fma.f64 x #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1 binary64) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(fma.f64 #s(literal 1 binary64) x (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 10 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 10 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (cbrt.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))
(fma.f64 (sqrt.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 5 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 (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 (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))))
(pow.f64 x #s(literal 5 binary64))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.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)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.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))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.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)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.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))))))
(pow.f64 x #s(literal 5 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.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)))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.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)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.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))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.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)))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.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)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.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))))))
(-.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 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 (exp.f64 (log1p.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 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 (/.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 x (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 (-.f64 x (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) 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 (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 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 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 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) (log.f64 (exp.f64 #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 #s(literal 1 binary64) (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 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 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #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 (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 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (pow.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)) #s(literal 1/3 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 (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 (pow.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 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 (pow.f64 (cbrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))) #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 (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 (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 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))))
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(.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))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 5 binary64)))

eval47.0ms (2.7%)

Compiler: Compiled 2447 to 1795 computations (26.6% saved)

prune16.0ms (0.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	125	4	129

Accuracy

100.0%

Counts

129 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.2%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	54.3%	(/.f64 #s(literal 1 binary64) x)
✓	48.0%	(+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))
✓	48.7%	x

Compiler

Compiled 45 to 29 computations (35.6% saved)

regimes6.0ms (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 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))

Outputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 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`
99.8%	2	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes3.0ms (0.2%)

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:

3.0ms

Results

Accuracy	Segments	Branch
98.9%	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
48.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch7.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
6.0ms	531975.6223597975	151057530.73928905

Results

4.0ms

80×

valid

Compiler

Compiled 82 to 58 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (57.1% of total)

ival-mult: 1.0ms (57.1% of total)

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

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.8390251824471092	531975.6223597975

Results

6.0ms

144×

valid

Compiler

Compiled 84 to 62 computations (26.2% saved)

Precisions

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

ival-div: 1.0ms (31.4% of total)

ival-add: 1.0ms (31.4% of total)

ival-mult: 1.0ms (31.4% of total)

const: 0.0ms (0% of total)

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

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	80
1	25	80

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 x #s(literal 150000000 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))

Outputs

(if (<=.f64 x #s(literal 150000000 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))

soundness1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 24 to 15 computations (37.5% saved)

preprocess34.0ms (2%)

Compiler: Compiled 140 to 92 computations (34.3% saved)

x / (x^2 + 1)

analyze0.0ms (0%)

sample575.0ms (33.3%)

preprocess54.0ms (3.1%)

explain67.0ms (3.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize26.0ms (1.5%)

series2.0ms (0.1%)

rewrite188.0ms (10.9%)

simplify92.0ms (5.3%)

eval30.0ms (1.8%)

prune18.0ms (1%)

localize64.0ms (3.7%)

series2.0ms (0.1%)

rewrite95.0ms (5.5%)

simplify385.0ms (22.3%)

eval47.0ms (2.7%)

prune16.0ms (0.9%)

regimes6.0ms (0.3%)

regimes3.0ms (0.2%)

regimes1.0ms (0%)

bsearch7.0ms (0.4%)

bsearch13.0ms (0.7%)

simplify2.0ms (0.1%)

soundness1.0ms (0%)

preprocess34.0ms (2%)

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