Metrics for Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, G

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample511.0ms (9.7%)

Memory

0.5MiB live, 1 014.8MiB allocated

Samples

304.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-div: 89.0ms (58.2% of total)

ival-sub: 46.0ms (30.1% of total)

exact: 8.0ms (5.2% of total)

ival-true: 6.0ms (3.9% of total)

ival-assert: 3.0ms (2% of total)

Bogosity

explain57.0ms (1.1%)

Memory

-4.0MiB live, 80.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

24.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sub: 7.0ms (53.7% of total)

ival-div: 4.0ms (30.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess13.0ms (0.2%)

Memory

19.2MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	18	9
2	39	6
3	63	6
4	96	6
5	104	6
6	106	6
0	5	3
0	8	3
1	13	3
2	14	3
0	14	3

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
0	8	7
1	13	7
2	14	7
0	14	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.4%)

Memory

-17.3MiB live, 20.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy	0.015625	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Samples

16.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 9.0ms (82.3% of total)

ival-sub: 1.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Counts

2 → 12

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())

Inputs

#s(alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())

#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())

Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())

Calls

3 calls:

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

simplify13.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	32	30
2	75	30
3	158	30
4	412	30
5	523	30
6	576	30
7	599	30
8	601	30
0	601	30

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 10

Calls

Call 1

Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))

Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))

rewrite159.0ms (3%)

Memory

2.0MiB live, 199.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
0	8	4
1	27	4
2	129	4
3	979	4
0	8557	4

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

2 → 313

Calls

Call 1

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

Outputs
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eval53.0ms (1%)

Memory: -11.5MiB live, 113.8MiB allocated
Compiler: Compiled 8 097 to 759 computations (90.6% saved)

prune9.0ms (0.2%)

Memory

-13.5MiB live, 25.5MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	318	5	323
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	319	5	324

Accuracy

100.0%

Counts

324 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
▶	48.4%	(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64))) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
▶	61.6%	(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
▶	100.0%	(-.f64 x #s(literal 1/3 binary64))
▶	45.6%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 136 to 78 computations (42.6% saved)

simplify108.0ms (2%)

Memory

14.5MiB live, 130.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x #s(literal -1/3 binary64))
cost-diff	0	(-.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64)))
cost-diff	128	(.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64))
cost-diff	3712	(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64))) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
cost-diff	0	(.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x))
cost-diff	128	(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
cost-diff	512	(-.f64 (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))
cost-diff	1024	(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
cost-diff	0	(-.f64 #s(literal 1/3 binary64) x)
cost-diff	0	(fma.f64 x x #s(literal -1/9 binary64))
cost-diff	0	(/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
cost-diff	128	(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
cost-diff	0	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
cost-diff	0	(-.f64 x #s(literal 1/3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	200
0	50	196
1	104	196
2	325	169
3	1249	165
4	6221	165
0	8484	161

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
#s(literal 1/9 binary64)
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(-.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))
(/.f64 x (-.f64 x #s(literal -1/3 binary64)))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
(-.f64 (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))
(.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x))
(*.f64 x x)
x
(-.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/9 binary64)
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64))) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
(-.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64)))
(-.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)
(.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64))
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
(*.f64 x x)
#s(literal 1/9 binary64)
(.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))

Outputs
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x (/.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
#s(literal 1/9 binary64)
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(-.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x)
(/.f64 x (-.f64 x #s(literal -1/3 binary64)))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(-.f64 (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))
(*.f64 (-.f64 #s(literal -1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64)))
(.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
(*.f64 x x)
x
(-.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
(fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/9 binary64)
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))
(*.f64 (-.f64 #s(literal -1/3 binary64) x) (-.f64 x #s(literal -1/3 binary64)))
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64))) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(-.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64)))
(fma.f64 (/.f64 (/.f64 #s(literal -1/9 binary64) x) x) (-.f64 x #s(literal -1/3 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(-.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)
(.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) x) x)
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) x)
(*.f64 x x)
#s(literal 1/9 binary64)
(.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) (/.f64 (-.f64 x #s(literal -1/3 binary64)) x))

localize114.0ms (2.2%)

Memory

-4.6MiB live, 192.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.36675575594161247	(.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))
accuracy	0.504461442964067	(.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64))
accuracy	13.773793366928427	(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64))) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
accuracy	18.99573022442265	(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
accuracy	0.02734375	(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))
accuracy	0.125	(.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x))
accuracy	0.1796875	(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
accuracy	23.934397676870216	(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
accuracy	0.015625	(-.f64 #s(literal 1/3 binary64) x)
accuracy	0.109375	(*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))
accuracy	0.19140625	(/.f64 x (-.f64 x #s(literal -1/3 binary64)))
accuracy	0.4042735680275152	(/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
accuracy	34.8358473868181	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
accuracy	0.015625	(-.f64 x #s(literal 1/3 binary64))

Samples

60.0ms	223×	0	valid
11.0ms	21×	1	valid
9.0ms	12×	2	valid

Compiler

Compiled 403 to 58 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 18.0ms (30.1% of total)

const: 15.0ms (25.1% of total)

ival-div: 11.0ms (18.4% of total)

ival-sub: 9.0ms (15.1% of total)

adjust: 3.0ms (5% of total)

ival-add: 3.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory

27.9MiB live, 27.9MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) (patch (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/3 binary64) x) (patch (-.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) (patch (/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (patch (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) (patch (.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (patch (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64))) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) (patch (/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64))) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64)) (patch (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64))) (patch (-.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal -1/3 binary64)) (patch (-.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (-.f64 x #s(literal -1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (patch (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) (patch (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (patch (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) (patch (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())

Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) (patch (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) (patch (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) (patch (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) (patch (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -9 (pow x 2)) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* -81 (pow x 2)) 9)) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/9 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1/9) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1/9) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1/9) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (-.f64 #s(literal 1/3 binary64) x) (patch (-.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1/3 binary64) x) (patch (-.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1/3 binary64) x) (patch (-.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1/3 binary64) x) (patch (-.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 x #s(literal -1/3 binary64)) (patch (-.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 x #s(literal -1/3 binary64)) (patch (-.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x (-.f64 x #s(literal -1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/3 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x #s(literal -1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x #s(literal -1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x #s(literal -1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (patch (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (patch (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1))) (taylor -inf x) (#s(alt (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (patch (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1))) (taylor -inf x) (#s(alt (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (patch (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) (patch (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) (patch (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1)) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) (patch (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1)) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) (patch (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (patch (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/3 (/ 1 x))) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (patch (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/3 (/ 1 x))) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (patch (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/3 (/ 1 x))) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (patch (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) (patch (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2/3 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) (patch (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) (patch (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) (patch (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((- x 1/3) (- x (/ 1 3)) (+ (* (/ 1/9 (+ (* x x) -1/9)) (- 1/3 x)) (* x (/ x (- x -1/3)))) (/ 1/9 (+ (* x x) -1/9)) (+ (* x x) -1/9) (- 1/3 x) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) -1/9) (* (* x x) (- -1/3 x)) (/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (* (/ (- x -1/3) (* x x)) 1/9) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (- x -1/3) (/ x (- x -1/3)) (* x (/ x (- x -1/3))) (* (- x -1/3) (- -1/3 x)) (/ (- x -1/3) (* x x)) (* (/ (- x -1/3) (* x x)) (- x -1/3)))
4.0ms	x	@	0	((- x 1/3) (- x (/ 1 3)) (+ (* (/ 1/9 (+ (* x x) -1/9)) (- 1/3 x)) (* x (/ x (- x -1/3)))) (/ 1/9 (+ (* x x) -1/9)) (+ (* x x) -1/9) (- 1/3 x) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) -1/9) (* (* x x) (- -1/3 x)) (/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (* (/ (- x -1/3) (* x x)) 1/9) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (- x -1/3) (/ x (- x -1/3)) (* x (/ x (- x -1/3))) (* (- x -1/3) (- -1/3 x)) (/ (- x -1/3) (* x x)) (* (/ (- x -1/3) (* x x)) (- x -1/3)))
3.0ms	x	@	-inf	((- x 1/3) (- x (/ 1 3)) (+ (* (/ 1/9 (+ (* x x) -1/9)) (- 1/3 x)) (* x (/ x (- x -1/3)))) (/ 1/9 (+ (* x x) -1/9)) (+ (* x x) -1/9) (- 1/3 x) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) -1/9) (* (* x x) (- -1/3 x)) (/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (* (/ (- x -1/3) (* x x)) 1/9) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (- x -1/3) (/ x (- x -1/3)) (* x (/ x (- x -1/3))) (* (- x -1/3) (- -1/3 x)) (/ (- x -1/3) (* x x)) (* (/ (- x -1/3) (* x x)) (- x -1/3)))

Time

Variable

Point

Expression

4.0ms

inf

((- x 1/3) (- x (/ 1 3)) (+ (* (/ 1/9 (+ (* x x) -1/9)) (- 1/3 x)) (* x (/ x (- x -1/3)))) (/ 1/9 (+ (* x x) -1/9)) (+ (* x x) -1/9) (- 1/3 x) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) -1/9) (* (* x x) (- -1/3 x)) (/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (* (/ (- x -1/3) (* x x)) 1/9) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (- x -1/3) (/ x (- x -1/3)) (* x (/ x (- x -1/3))) (* (- x -1/3) (- -1/3 x)) (/ (- x -1/3) (* x x)) (* (/ (- x -1/3) (* x x)) (- x -1/3)))

4.0ms

((- x 1/3) (- x (/ 1 3)) (+ (* (/ 1/9 (+ (* x x) -1/9)) (- 1/3 x)) (* x (/ x (- x -1/3)))) (/ 1/9 (+ (* x x) -1/9)) (+ (* x x) -1/9) (- 1/3 x) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) -1/9) (* (* x x) (- -1/3 x)) (/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (* (/ (- x -1/3) (* x x)) 1/9) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (- x -1/3) (/ x (- x -1/3)) (* x (/ x (- x -1/3))) (* (- x -1/3) (- -1/3 x)) (/ (- x -1/3) (* x x)) (* (/ (- x -1/3) (* x x)) (- x -1/3)))

3.0ms

-inf

((- x 1/3) (- x (/ 1 3)) (+ (* (/ 1/9 (+ (* x x) -1/9)) (- 1/3 x)) (* x (/ x (- x -1/3)))) (/ 1/9 (+ (* x x) -1/9)) (+ (* x x) -1/9) (- 1/3 x) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) -1/9) (* (* x x) (- -1/3 x)) (/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (* (/ (- x -1/3) (* x x)) 1/9) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (- x -1/3) (/ x (- x -1/3)) (* x (/ x (- x -1/3))) (* (- x -1/3) (- -1/3 x)) (/ (- x -1/3) (* x x)) (* (/ (- x -1/3) (* x x)) (- x -1/3)))

simplify135.0ms (2.6%)

Memory

-36.7MiB live, 134.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	225	1375
1	616	1334
2	1656	1268
3	5405	1234
0	8067	1179

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 212

Calls

Call 1

Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
-1
(- (* -9 (pow x 2)) 1)
(- (* (pow x 2) (- (* -81 (pow x 2)) 9)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)) 1)
-1/9
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
1/3
(+ 1/3 (* -1 x))
(+ 1/3 (* -1 x))
(+ 1/3 (* -1 x))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* -1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3)))))
-1/27
(- (* -1/9 x) 1/27)
(- (* -1/9 x) 1/27)
(- (* -1/9 x) 1/27)
(* -1/3 (pow x 2))
(* (pow x 2) (- (* -1 x) 1/3))
(* (pow x 2) (- (* -1 x) 1/3))
(* (pow x 2) (- (* -1 x) 1/3))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
(/ 1/27 (pow x 2))
(/ (+ 1/27 (* 1/9 x)) (pow x 2))
(/ (+ 1/27 (* 1/9 x)) (pow x 2))
(/ (+ 1/27 (* 1/9 x)) (pow x 2))
(/ -1/27 (pow x 2))
(/ (- (* -1/9 x) 1/27) (pow x 2))
(/ (- (* x (- (* 1/3 x) 1/9)) 1/27) (pow x 2))
(/ (- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27) (pow x 2))
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
(* 3 x)
(* x (+ 3 (* -9 x)))
(* x (+ 3 (* x (- (* 27 x) 9))))
(* x (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -9 x)))
(* (pow x 2) (+ 3 (* x (- (* 27 x) 9))))
(* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))))
-1/9
(- (* -2/3 x) 1/9)
(- (* x (- (* -1 x) 2/3)) 1/9)
(- (* x (- (* -1 x) 2/3)) 1/9)
(/ 1/3 (pow x 2))
(/ (+ 1/3 x) (pow x 2))
(/ (+ 1/3 x) (pow x 2))
(/ (+ 1/3 x) (pow x 2))
(/ 1/9 (pow x 2))
(/ (+ 1/9 (* 2/3 x)) (pow x 2))
(/ (+ 1/9 (* x (+ 2/3 x))) (pow x 2))
(/ (+ 1/9 (* x (+ 2/3 x))) (pow x 2))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(/ 1/9 (pow x 2))
(/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (* 1/81 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (+ (* 1/81 (/ 1 (pow x 2))) (* 1/6561 (/ 1 (pow x 6)))))) (pow x 2))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(* x (- (* 1/3 (/ 1 x)) 1))
(* x (- (* 1/3 (/ 1 x)) 1))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x)))))
(* -1/9 x)
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(/ 1/9 x)
(/ (+ 1/9 (* 1/27 (/ 1 x))) x)
(/ (+ 1/9 (* 1/27 (/ 1 x))) x)
(/ (+ 1/9 (* 1/27 (/ 1 x))) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(* x (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
1
(- 1 (* 1/3 (/ 1 x)))
(- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))
(- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(/ 1 x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
1
(+ 1 (* 2/3 (/ 1 x)))
(+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(/ 1/9 (pow x 2))
(/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (* 1/81 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (+ (* 1/81 (/ 1 (pow x 2))) (* 1/6561 (/ 1 (pow x 6)))))) (pow x 2))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x)))))
(* -1/9 x)
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(/ 1/9 x)
(/ (+ 1/9 (* 1/27 (/ 1 x))) x)
(/ (+ 1/9 (* 1/27 (/ 1 x))) x)
(/ (+ 1/9 (* 1/27 (/ 1 x))) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
1
(- 1 (* 1/3 (/ 1 x)))
(+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x)))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(/ 1 x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
1
(+ 1 (* 2/3 (/ 1 x)))
(+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x))))

Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
-1
#s(literal -1 binary64)
(- (* -9 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -81 (pow x 2)) 9)) 1)
(fma.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -9 binary64)) (.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) (.f64 x x) #s(literal -81 binary64)) (.f64 x x) #s(literal -9 binary64)) (*.f64 x x) #s(literal -1 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1 x))
(-.f64 #s(literal 1/3 binary64) x)
(+ 1/3 (* -1 x))
(-.f64 #s(literal 1/3 binary64) x)
(+ 1/3 (* -1 x))
(-.f64 #s(literal 1/3 binary64) x)
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/9 x))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* -1/3 x))))
(fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3)))))
(fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
-1/27
#s(literal -1/27 binary64)
(- (* -1/9 x) 1/27)
(fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64))
(- (* -1/9 x) 1/27)
(fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64))
(- (* -1/9 x) 1/27)
(fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x #s(literal -1/3 binary64)) x)
(* (pow x 2) (- (* -1 x) 1/3))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
(* (pow x 2) (- (* -1 x) 1/3))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
(* (pow x 2) (- (* -1 x) 1/3))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(/ 1/27 (pow x 2))
(/.f64 #s(literal 1/27 binary64) (*.f64 x x))
(/ (+ 1/27 (* 1/9 x)) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x)
(/ (+ 1/27 (* 1/9 x)) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x)
(/ (+ 1/27 (* 1/9 x)) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x)
(/ -1/27 (pow x 2))
(/.f64 (/.f64 #s(literal -1/27 binary64) x) x)
(/ (- (* -1/9 x) 1/27) (pow x 2))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)
(/ (- (* x (- (* 1/3 x) 1/9)) 1/27) (pow x 2))
(-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x))
(/ (- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27) (pow x 2))
(-.f64 x (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x) #s(literal 1/3 binary64)))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* x (- (* 27 x) 9))))
(*.f64 (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x)
(* x (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -81 binary64) x #s(literal 27 binary64)) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x)
(* 3 (pow x 2))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(* (pow x 2) (+ 3 (* -9 x)))
(.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (- (* 27 x) 9))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -81 binary64) x #s(literal 27 binary64)) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x) x)
-1/9
#s(literal -1/9 binary64)
(- (* -2/3 x) 1/9)
(fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))
(- (* x (- (* -1 x) 2/3)) 1/9)
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
(- (* x (- (* -1 x) 2/3)) 1/9)
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ (+ 1/3 x) (pow x 2))
(/.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) x)
(/ (+ 1/3 x) (pow x 2))
(/.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) x)
(/ (+ 1/3 x) (pow x 2))
(/.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) x)
(/ 1/9 (pow x 2))
(/.f64 #s(literal 1/9 binary64) (*.f64 x x))
(/ (+ 1/9 (* 2/3 x)) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 1/9 binary64)) x) x)
(/ (+ 1/9 (* x (+ 2/3 x))) (pow x 2))
(/.f64 (fma.f64 (-.f64 x #s(literal -2/3 binary64)) x #s(literal 1/9 binary64)) (*.f64 x x))
(/ (+ 1/9 (* x (+ 2/3 x))) (pow x 2))
(/.f64 (fma.f64 (-.f64 x #s(literal -2/3 binary64)) x #s(literal 1/9 binary64)) (*.f64 x x))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(/ 1/9 (pow x 2))
(/.f64 #s(literal 1/9 binary64) (*.f64 x x))
(/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x) x)
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (* 1/81 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/9 binary64))) (.f64 x x))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (+ (* 1/81 (/ 1 (pow x 2))) (* 1/6561 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/9 binary64)) (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/81 binary64) (.f64 x x)))) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(-.f64 #s(literal 1/3 binary64) x)
(* x (- (* 1/3 (/ 1 x)) 1))
(-.f64 #s(literal 1/3 binary64) x)
(* x (- (* 1/3 (/ 1 x)) 1))
(-.f64 #s(literal 1/3 binary64) x)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(*.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x) #s(literal 1/3 binary64)) x) x) x)
(* -1/9 x)
(*.f64 #s(literal -1/9 binary64) x)
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64))
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64))
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* 1/27 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x)
(/ (+ 1/9 (* 1/27 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x)
(/ (+ 1/9 (* 1/27 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal -1/3 binary64))
(* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(-.f64 (-.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1/9 binary64) x))
(* x (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(-.f64 x (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x) #s(literal 1/3 binary64)))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal -1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal -1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal -1/3 binary64))
1
#s(literal 1 binary64)
(- 1 (* 1/3 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
(- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(-.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 #s(literal 1/3 binary64) x))
(* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal 1/3 binary64)) x) x x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -2/3 binary64) x) x)
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -2/3 binary64)) x)) x) x)
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -2/3 binary64)) x)) x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 2/3 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
(+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -2/3 binary64)) #s(literal 1 binary64))
(+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -2/3 binary64)) #s(literal 1 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(/ 1/9 (pow x 2))
(/.f64 #s(literal 1/9 binary64) (*.f64 x x))
(/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x) x)
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (* 1/81 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/9 binary64))) (.f64 x x))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (+ (* 1/81 (/ 1 (pow x 2))) (* 1/6561 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/9 binary64)) (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/81 binary64) (.f64 x x)))) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 1/3 binary64) x)
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 1/3 binary64) x)
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 1/3 binary64) x)
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)))))
(*.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x)))))
(.f64 (.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x) #s(literal 1/3 binary64)) x) x) x)
(* -1/9 x)
(*.f64 #s(literal -1/9 binary64) x)
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64))
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64))
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* 1/27 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x)
(/ (+ 1/9 (* 1/27 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x)
(/ (+ 1/9 (* 1/27 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(-.f64 (-.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1/9 binary64) x))
(* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(-.f64 x (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x) #s(literal 1/3 binary64)))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal -1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal -1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal -1/3 binary64))
1
#s(literal 1 binary64)
(- 1 (* 1/3 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(-.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 #s(literal 1/3 binary64) x))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))
(fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal 1/3 binary64)) x) x x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -2/3 binary64) x) x)
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -2/3 binary64)) x)) x) x)
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -2/3 binary64)) x)) x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 2/3 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
(+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -2/3 binary64)) #s(literal 1 binary64))
(+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -2/3 binary64)) #s(literal 1 binary64))

rewrite198.0ms (3.7%)

Memory

35.7MiB live, 233.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	171
0	50	171
1	221	167
2	2110	160
0	8932	156

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

19 → 1 166

Calls

Call 1

Inputs
(-.f64 x #s(literal 1/3 binary64))
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
(-.f64 #s(literal 1/3 binary64) x)
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
(-.f64 (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
(.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x))
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64))) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
(.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64))
(-.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64)))
(-.f64 x #s(literal -1/3 binary64))
(/.f64 x (-.f64 x #s(literal -1/3 binary64)))
(*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
(.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))

Outputs
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eval318.0ms (6%)

Memory: 14.8MiB live, 426.0MiB allocated
Compiler: Compiled 54 964 to 4 947 computations (91% saved)

prune41.0ms (0.8%)

Memory

-11.6MiB live, 111.6MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1 686	4	1 690
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 689	6	1 695

Accuracy

100.0%

Counts

1 695 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.6%	(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x))))
▶	100.0%	(fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x))
▶	61.6%	(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
▶	45.4%	(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	45.6%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 69 to 51 computations (26.1% saved)

simplify489.0ms (9.2%)

Memory

6.1MiB live, 86.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1/3 binary64) x)
cost-diff	0	(fma.f64 x x #s(literal -1/9 binary64))
cost-diff	0	(/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
cost-diff	128	(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x))))
cost-diff	0	(fma.f64 x x #s(literal -1/9 binary64))
cost-diff	0	(-.f64 #s(literal 1/3 binary64) x)
cost-diff	0	(/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64)))
cost-diff	128	(fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x))
cost-diff	0	#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
cost-diff	64	(fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
cost-diff	128	(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))
cost-diff	0	(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
cost-diff	0	#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
cost-diff	128	(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	265
0	59	265
1	99	265
2	173	242
3	407	242
4	917	242
5	1935	242
6	3836	242
7	5145	242
8	5565	242
9	5627	242
10	5643	242
11	5649	242
12	6160	242
13	6556	242
14	6645	242
15	6665	242
16	6749	242
17	7093	242
18	7103	242
19	7107	242
20	7107	242
21	7171	242
22	7183	242
23	7183	242
0	7183	236

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
#s(literal 1/9 binary64)
x
#s(literal 1/27 binary64)
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(-.f64 #s(literal -1/3 binary64) x)
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)))
(fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))
(-.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
x
#s(literal 1/9 binary64)
#s(literal 1/27 binary64)
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))
(-.f64 x #s(literal -1/3 binary64))
(fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x))
#s(literal 1/9 binary64)
(/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64)))
(-.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(fma.f64 x x #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x)
(/.f64 x (-.f64 x #s(literal -1/3 binary64)))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x))))
(/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
#s(literal 1/9 binary64)
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(-.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)))
#s(approx (/ x (- x -1/3)) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)

Outputs
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/27 binary64))) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)))
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/27 binary64)))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(fma.f64 x #s(literal 1/9 binary64) #s(literal 1/27 binary64))
#s(literal 1/9 binary64)
x
#s(literal 1/27 binary64)
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(-.f64 #s(literal -1/3 binary64) x)
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/3 binary64) x))) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)))
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)))
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
(fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/3 binary64) x))
(fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))
(-.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
x
#s(literal 1/9 binary64)
#s(literal 1/27 binary64)
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
(-.f64 x #s(literal -1/3 binary64))
(fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x))
(fma.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x (/.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
#s(literal 1/9 binary64)
(/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64)))
(-.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(fma.f64 x x #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x)
(/.f64 x (-.f64 x #s(literal -1/3 binary64)))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x))))
(fma.f64 #s(approx (/ x (- x -1/3)) (*.f64 #s(literal 3 binary64) x)) x (/.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
#s(literal 1/9 binary64)
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(-.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)))
(.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x)
#s(approx (/ x (- x -1/3)) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)

localize175.0ms (3.3%)

Memory

-3.0MiB live, 149.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.015625	(-.f64 #s(literal 1/3 binary64) x)
accuracy	0.109375	(.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)))
accuracy	0.4042735680275152	(/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
accuracy	34.894218779321456	#s(approx (/ x (- x -1/3)) (*.f64 #s(literal 3 binary64) x))
accuracy	0.021816259768442016	(fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x))
accuracy	0.109375	(*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x)
accuracy	0.19140625	(/.f64 x (-.f64 x #s(literal -1/3 binary64)))
accuracy	18.91369897442265	(/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64)))
accuracy	0.0234375	(fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))
accuracy	0.02734375	(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))
accuracy	0.05078125	(fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
accuracy	23.934397676870216	(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
accuracy	0.02734375	(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))
accuracy	0.1796875	(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
accuracy	23.934397676870216	(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
accuracy	35.42249250729977	#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))

Samples

64.0ms	222×	0	valid
20.0ms	12×	2	valid
13.0ms	22×	1	valid

Compiler

Compiled 435 to 63 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 21.0ms (33.2% of total)

const: 18.0ms (28.4% of total)

ival-add: 8.0ms (12.6% of total)

ival-div: 7.0ms (11.1% of total)

ival-sub: 6.0ms (9.5% of total)

adjust: 3.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

20.7MiB live, 20.7MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#s(alt (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) (patch (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) (patch (/.f64 #s(approx (- ( (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (patch #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) (patch (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)) (patch (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) (patch (/.f64 #s(approx (- ( (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) (patch #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x)) (patch (fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/3 binary64) x) (patch (-.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)))) (patch (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) (patch (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (-.f64 x #s(literal -1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x) (patch (.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) (patch #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x))) (patch (.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ())

Outputs
#s(alt -1/9 (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) (patch (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -2/3 x) 1/9) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) (patch (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1 x) 2/3)) 1/9) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) (patch (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1 x) 2/3)) 1/9) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) (patch (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) (patch (/.f64 #s(approx (- ( (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) (patch (/.f64 #s(approx (- ( (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) (patch (/.f64 #s(approx (- ( (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) (patch (/.f64 #s(approx (- ( (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt 1/27 (taylor 0 x) (#s(alt #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (patch #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/27 (* 1/9 x)) (taylor 0 x) (#s(alt #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (patch #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/27 (* x (+ 1/9 (* -1/3 x)))) (taylor 0 x) (#s(alt #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (patch #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3))))) (taylor 0 x) (#s(alt #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (patch #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/27 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) (patch (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/27 (* 1/9 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) (patch (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/27 (* 1/9 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) (patch (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/27 (* 1/9 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) (patch (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/27 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)) (patch (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/27 (* 1/9 x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)) (patch (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/27 (* x (+ 1/9 (* -1/3 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)) (patch (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)) (patch (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) (patch (/.f64 #s(approx (- ( (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) (patch (/.f64 #s(approx (- ( (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) (patch (/.f64 #s(approx (- ( (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) (patch (/.f64 #s(approx (- ( (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt 1/27 (taylor 0 x) (#s(alt #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) (patch #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/27 (* 1/9 x)) (taylor 0 x) (#s(alt #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) (patch #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (* 1/81 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (+ (* 1/81 (/ 1 (pow x 2))) (* 1/6561 (/ 1 (pow x 6)))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) (patch (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) (patch (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) (patch (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) (patch (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x (-.f64 x #s(literal -1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/3 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x #s(literal -1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x #s(literal -1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x #s(literal -1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x) (patch (.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x) (patch (.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x) (patch (.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x) (patch (.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) (patch #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/3 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) (patch #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) (taylor -inf x) (#s(alt #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) (patch #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) (patch #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x))) (patch (.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x))) (patch (.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1))) (taylor -inf x) (#s(alt (.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x))) (patch (.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1))) (taylor -inf x) (#s(alt (.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x))) (patch (.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((* (- x -1/3) (- -1/3 x)) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (+ (* 1/9 x) 1/27) (+ (* (+ (* (- -1/3 x) x) 1/9) x) 1/27) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (+ (* 1/9 (/ (- 1/3 x) (+ (* x x) -1/9))) (* (/ x (- x -1/3)) x)) (/ (- 1/3 x) (+ (* x x) -1/9)) (- 1/3 x) (+ (* x x) -1/9) (+ (* (/ 1/9 (+ (* x x) -1/9)) (- 1/3 x)) (* x (/ x (- x -1/3)))) (/ 1/9 (+ (* x x) -1/9)) (+ (* (- -1/3 x) x) 1/9) (/ x (- x -1/3)) (* (/ x (- x -1/3)) x) (/ x (- x -1/3)) (* x (/ x (- x -1/3))))

2.0ms

-inf

((* (- x -1/3) (- -1/3 x)) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (+ (* 1/9 x) 1/27) (+ (* (+ (* (- -1/3 x) x) 1/9) x) 1/27) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (+ (* 1/9 (/ (- 1/3 x) (+ (* x x) -1/9))) (* (/ x (- x -1/3)) x)) (/ (- 1/3 x) (+ (* x x) -1/9)) (- 1/3 x) (+ (* x x) -1/9) (+ (* (/ 1/9 (+ (* x x) -1/9)) (- 1/3 x)) (* x (/ x (- x -1/3)))) (/ 1/9 (+ (* x x) -1/9)) (+ (* (- -1/3 x) x) 1/9) (/ x (- x -1/3)) (* (/ x (- x -1/3)) x) (/ x (- x -1/3)) (* x (/ x (- x -1/3))))

1.0ms

((* (- x -1/3) (- -1/3 x)) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (+ (* 1/9 x) 1/27) (+ (* (+ (* (- -1/3 x) x) 1/9) x) 1/27) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (+ (* 1/9 (/ (- 1/3 x) (+ (* x x) -1/9))) (* (/ x (- x -1/3)) x)) (/ (- 1/3 x) (+ (* x x) -1/9)) (- 1/3 x) (+ (* x x) -1/9) (+ (* (/ 1/9 (+ (* x x) -1/9)) (- 1/3 x)) (* x (/ x (- x -1/3)))) (/ 1/9 (+ (* x x) -1/9)) (+ (* (- -1/3 x) x) 1/9) (/ x (- x -1/3)) (* (/ x (- x -1/3)) x) (/ x (- x -1/3)) (* x (/ x (- x -1/3))))

simplify201.0ms (3.8%)

Memory

-45.5MiB live, 175.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	1538
1	582	1453
2	1572	1392
3	4458	1316
0	8418	1225

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 204

Calls

Call 1

Inputs
-1/9
(- (* -2/3 x) 1/9)
(- (* x (- (* -1 x) 2/3)) 1/9)
(- (* x (- (* -1 x) 2/3)) 1/9)
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* -1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3)))))
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* 1/9 x))
(+ 1/27 (* 1/9 x))
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* -1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3)))))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* -1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3)))))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
-3
(- (* 9 x) 3)
(- (* x (+ 9 (* -27 x))) 3)
(- (* x (+ 9 (* x (- (* 81 x) 27)))) 3)
1/3
(+ 1/3 (* -1 x))
(+ 1/3 (* -1 x))
(+ 1/3 (* -1 x))
-1/9
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
-1
(- (* -9 (pow x 2)) 1)
(- (* (pow x 2) (- (* -81 (pow x 2)) 9)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)) 1)
1/9
(+ 1/9 (* -1/3 x))
(+ 1/9 (* x (- (* -1 x) 1/3)))
(+ 1/9 (* x (- (* -1 x) 1/3)))
(* 3 x)
(* x (+ 3 (* -9 x)))
(* x (+ 3 (* x (- (* 27 x) 9))))
(* x (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -9 x)))
(* (pow x 2) (+ 3 (* x (- (* 27 x) 9))))
(* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))))
(* 3 x)
(* x (+ 3 (* -9 x)))
(* x (+ 3 (* x (- (* 27 x) 9))))
(* x (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -9 x)))
(* (pow x 2) (+ 3 (* x (- (* 27 x) 9))))
(* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x)))))
(* 1/9 x)
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(/ -1 x)
(/ (- (* 1/3 (/ 1 x)) 1) x)
(/ (- (* 1/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))) x)
(/ (- (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (/ 1/9 (pow x 2)))) x)
(* -1 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(* x (- (* 1/3 (/ 1 x)) 1))
(* x (- (* 1/3 (/ 1 x)) 1))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(/ 1/9 (pow x 2))
(/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (* 1/81 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (+ (* 1/81 (/ 1 (pow x 2))) (* 1/6561 (/ 1 (pow x 6)))))) (pow x 2))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 2) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 2) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
1
(- 1 (* 1/3 (/ 1 x)))
(- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))
(- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
1
(- 1 (* 1/3 (/ 1 x)))
(- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))
(- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x)))))
(* 1/9 x)
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x)))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x)))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(/ -1 x)
(* -1 (/ (- 1 (* 1/3 (/ 1 x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(/ 1/9 (pow x 2))
(/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (* 1/81 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (+ (* 1/81 (/ 1 (pow x 2))) (* 1/6561 (/ 1 (pow x 6)))))) (pow x 2))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1))
(* (pow x 2) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1))
1
(- 1 (* 1/3 (/ 1 x)))
(+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x)))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))
1
(- 1 (* 1/3 (/ 1 x)))
(+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x)))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))

Outputs
-1/9
#s(literal -1/9 binary64)
(- (* -2/3 x) 1/9)
(fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64))
(- (* x (- (* -1 x) 2/3)) 1/9)
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
(- (* x (- (* -1 x) 2/3)) 1/9)
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/9 x))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* -1/3 x))))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3)))))
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(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(/ 1/9 (pow x 2))
(/.f64 (/.f64 #s(literal 1/9 binary64) x) x)
(/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x) x)
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (* 1/81 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/9 binary64))) (.f64 x x))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (+ (* 1/81 (/ 1 (pow x 2))) (* 1/6561 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/9 binary64)) (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/81 binary64) (.f64 x x)))) (.f64 x x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -1/3 binary64) x) x)
(* (pow x 2) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1))
(fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))
(* (pow x 2) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1))
(fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))
1
#s(literal 1 binary64)
(- 1 (* 1/3 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) x) #s(literal 1/3 binary64))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))
(+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal 1/3 binary64)) x)
1
#s(literal 1 binary64)
(- 1 (* 1/3 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) x) #s(literal 1/3 binary64))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))
(+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal 1/3 binary64)) x)

rewrite409.0ms (7.7%)

Memory

16.9MiB live, 330.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	215
0	59	215
1	251	204
2	1978	202
0	8569	196

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

18 → 1 020

Calls

Call 1

Inputs
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)))
(fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x))
(/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64)))
(-.f64 #s(literal 1/3 binary64) x)
(fma.f64 x x #s(literal -1/9 binary64))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x))))
(/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
(fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))
(/.f64 x (-.f64 x #s(literal -1/3 binary64)))
(*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x)
#s(approx (/ x (- x -1/3)) (*.f64 #s(literal 3 binary64) x))
(.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)))

Outputs
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eval517.0ms (9.8%)

Memory: 3.9MiB live, 316.7MiB allocated
Compiler: Compiled 38 139 to 3 570 computations (90.6% saved)

prune29.0ms (0.5%)

Memory

20.7MiB live, 97.8MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1 375	4	1 379
Fresh	0	0	0
Picked	4	0	4
Done	0	2	2
Total	1 379	6	1 385

Accuracy

100.0%

Counts

1 385 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.6%	(fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x))
▶	61.6%	(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))))
▶	45.4%	(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))))
▶	46.1%	(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64))))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	45.6%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 63 to 53 computations (15.9% saved)

simplify312.0ms (5.9%)

Memory

-10.1MiB live, 77.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x #s(literal -1/9 binary64))
cost-diff	0	(-.f64 #s(literal 1/3 binary64) x)
cost-diff	0	(/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64)))
cost-diff	128	(fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x))
cost-diff	0	(fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))
cost-diff	0	#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))))
cost-diff	64	(fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
cost-diff	0	#s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)))
cost-diff	0	(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
cost-diff	0	#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))))
cost-diff	0	#s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64)))
cost-diff	0	(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
cost-diff	0	#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	329
0	59	329
1	95	329
2	162	296
3	366	296
4	820	296
5	1804	290
6	3506	290
7	4210	290
8	4618	290
9	4747	290
10	4819	290
11	4889	290
12	5241	290
13	5582	290
14	5847	290
15	6008	290
16	6016	290
17	6018	290
18	6033	290
19	6033	290
20	6057	290
0	6057	289

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64))))
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
#s(literal 1/9 binary64)
x
#s(literal 1/27 binary64)
#s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64)))
(fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64))
#s(literal -2/3 binary64)
#s(literal -1/9 binary64)
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))))
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
#s(literal 1/9 binary64)
x
#s(literal 1/27 binary64)
#s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)))
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
(-.f64 #s(literal -2/3 binary64) x)
#s(literal -2/3 binary64)
#s(literal -1/9 binary64)
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))))
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)))
(fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))
(-.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
x
#s(literal 1/9 binary64)
#s(literal 1/27 binary64)
#s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)))
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
(-.f64 #s(literal -2/3 binary64) x)
#s(literal -2/3 binary64)
#s(literal -1/9 binary64)
(fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x))
#s(literal 1/9 binary64)
(/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64)))
(-.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(fma.f64 x x #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x)
#s(approx (/ x (- x -1/3)) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)

Outputs
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64))))
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))))
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/27 binary64)))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(fma.f64 x #s(literal 1/9 binary64) #s(literal 1/27 binary64))
#s(literal 1/9 binary64)
x
#s(literal 1/27 binary64)
#s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64)))
#s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)))
(fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64))
(fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))
#s(literal -2/3 binary64)
#s(literal -1/9 binary64)
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))))
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))))
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/27 binary64)))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(fma.f64 x #s(literal 1/9 binary64) #s(literal 1/27 binary64))
#s(literal 1/9 binary64)
x
#s(literal 1/27 binary64)
#s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)))
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
(-.f64 #s(literal -2/3 binary64) x)
#s(literal -2/3 binary64)
#s(literal -1/9 binary64)
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))))
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/3 binary64) x))) #s(approx ( (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))))
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)))
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
(fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/3 binary64) x))
(fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))
(-.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
x
#s(literal 1/9 binary64)
#s(literal 1/27 binary64)
#s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)))
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
(-.f64 #s(literal -2/3 binary64) x)
#s(literal -2/3 binary64)
#s(literal -1/9 binary64)
(fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x))
(fma.f64 #s(approx (/ x (- x -1/3)) (*.f64 #s(literal 3 binary64) x)) x (/.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
#s(literal 1/9 binary64)
(/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64)))
(-.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(fma.f64 x x #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x)
#s(approx (/ x (- x -1/3)) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)

localize210.0ms (4%)

Memory

2.2MiB live, 157.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.021816259768442016	(fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x))
accuracy	0.109375	(.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x)
accuracy	18.91369897442265	(/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64)))
accuracy	34.894218779321456	#s(approx (/ x (- x -1/3)) (*.f64 #s(literal 3 binary64) x))
accuracy	0.01171875	(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
accuracy	0.0234375	(fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))
accuracy	0.05078125	(fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
accuracy	23.934397676870216	(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))))
accuracy	0.01171875	(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
accuracy	0.1796875	(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
accuracy	23.934397676870216	(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))))
accuracy	35.42249250729977	#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))
accuracy	0.1796875	(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
accuracy	23.934397676870216	(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64))))
accuracy	34.284498364420735	#s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64)))
accuracy	35.42249250729977	#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))

Samples

114.0ms	222×	0	valid
61.0ms	22×	1	valid
10.0ms	12×	2	valid

Compiler

Compiled 447 to 66 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-mult: 77.0ms (51.8% of total)

ival-sub: 32.0ms (21.5% of total)

const: 21.0ms (14.1% of total)

ival-add: 9.0ms (6.1% of total)

ival-div: 6.0ms (4% of total)

adjust: 4.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory

-20.5MiB live, 15.9MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#s(alt (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64)))) (patch (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (patch #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) (patch (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64))) (patch #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)))) (patch (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))) (patch #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)) (patch (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)))) (patch (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) (patch #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) (patch (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x)) (patch (fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/3 binary64) x) (patch (-.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)) (patch (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) (patch #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x) (patch (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())

Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64)))) (patch (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64)))) (patch (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64)))) (patch (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64)))) (patch (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1/27 (taylor 0 x) (#s(alt #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (patch #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/27 (* 1/9 x)) (taylor 0 x) (#s(alt #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (patch #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/27 (* x (+ 1/9 (* -1/3 x)))) (taylor 0 x) (#s(alt #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (patch #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3))))) (taylor 0 x) (#s(alt #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (patch #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/27 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) (patch (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/27 (* 1/9 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) (patch (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/27 (* 1/9 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) (patch (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/27 (* 1/9 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) (patch (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/9 (taylor 0 x) (#s(alt #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64))) (patch #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -2/3 x) 1/9) (taylor 0 x) (#s(alt #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64))) (patch #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1 x) 2/3)) 1/9) (taylor 0 x) (#s(alt #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64))) (patch #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1 x) 2/3)) 1/9) (taylor 0 x) (#s(alt #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64))) (patch #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)))) (patch (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)))) (patch (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)))) (patch (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)))) (patch (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1/9 (taylor 0 x) (#s(alt #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))) (patch #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -2/3 x) 1/9) (taylor 0 x) (#s(alt #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))) (patch #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1 x) 2/3)) 1/9) (taylor 0 x) (#s(alt #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))) (patch #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1 x) 2/3)) 1/9) (taylor 0 x) (#s(alt #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))) (patch #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/27 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)) (patch (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/27 (* 1/9 x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)) (patch (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) (patch (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) (patch (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) (patch (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) (patch (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x)) (patch (fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x)) (patch (fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x)) (patch (fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x)) (patch (fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 1 (* 1/3 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1/3 binary64) x) (patch (-.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1/3 binary64) x) (patch (-.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1/3 binary64) x) (patch (-.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1/3 binary64) x) (patch (-.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)) (patch (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)) (patch (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1)) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)) (patch (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1)) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)) (patch (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) (patch #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/3 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) (patch #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) (taylor -inf x) (#s(alt #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) (patch #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) (patch #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x) (patch (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x) (patch (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1))) (taylor -inf x) (#s(alt (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x) (patch (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1))) (taylor -inf x) (#s(alt (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x) (patch (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (+ (* 1/9 x) 1/27) (* (- x -1/3) (- -1/3 x)) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (* (- x -1/3) (- -1/3 x)) (+ (* (+ (* (- -1/3 x) x) 1/9) x) 1/27) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (+ (* (- -1/3 x) x) 1/9) (+ (* 1/9 (/ (- 1/3 x) (+ (* x x) -1/9))) (* (/ x (- x -1/3)) x)) (/ (- 1/3 x) (+ (* x x) -1/9)) (- 1/3 x) (+ (* x x) -1/9) (+ (* (- -2/3 x) x) -1/9) (/ x (- x -1/3)) (* (/ x (- x -1/3)) x))

2.0ms

inf

((/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (+ (* 1/9 x) 1/27) (* (- x -1/3) (- -1/3 x)) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (* (- x -1/3) (- -1/3 x)) (+ (* (+ (* (- -1/3 x) x) 1/9) x) 1/27) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (+ (* (- -1/3 x) x) 1/9) (+ (* 1/9 (/ (- 1/3 x) (+ (* x x) -1/9))) (* (/ x (- x -1/3)) x)) (/ (- 1/3 x) (+ (* x x) -1/9)) (- 1/3 x) (+ (* x x) -1/9) (+ (* (- -2/3 x) x) -1/9) (/ x (- x -1/3)) (* (/ x (- x -1/3)) x))

1.0ms

((/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (+ (* 1/9 x) 1/27) (* (- x -1/3) (- -1/3 x)) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (* (- x -1/3) (- -1/3 x)) (+ (* (+ (* (- -1/3 x) x) 1/9) x) 1/27) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (+ (* (- -1/3 x) x) 1/9) (+ (* 1/9 (/ (- 1/3 x) (+ (* x x) -1/9))) (* (/ x (- x -1/3)) x)) (/ (- 1/3 x) (+ (* x x) -1/9)) (- 1/3 x) (+ (* x x) -1/9) (+ (* (- -2/3 x) x) -1/9) (/ x (- x -1/3)) (* (/ x (- x -1/3)) x))

simplify152.0ms (2.9%)

Memory

44.5MiB live, 232.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	1378
1	520	1301
2	1441	1224
3	4160	1148
0	8020	1069

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 194

Calls

Call 1

Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* -1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3)))))
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* 1/9 x))
(+ 1/27 (* 1/9 x))
-1/9
(- (* -2/3 x) 1/9)
(- (* x (- (* -1 x) 2/3)) 1/9)
(- (* x (- (* -1 x) 2/3)) 1/9)
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
-1/9
(- (* -2/3 x) 1/9)
(- (* x (- (* -1 x) 2/3)) 1/9)
(- (* x (- (* -1 x) 2/3)) 1/9)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* -1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3)))))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* -1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3)))))
1/9
(+ 1/9 (* -1/3 x))
(+ 1/9 (* x (- (* -1 x) 1/3)))
(+ 1/9 (* x (- (* -1 x) 1/3)))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
-3
(- (* 9 x) 3)
(- (* x (+ 9 (* -27 x))) 3)
(- (* x (+ 9 (* x (- (* 81 x) 27)))) 3)
1/3
(+ 1/3 (* -1 x))
(+ 1/3 (* -1 x))
(+ 1/3 (* -1 x))
-1/9
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
-1/9
(- (* -2/3 x) 1/9)
(- (* x (- (* -1 x) 2/3)) 1/9)
(- (* x (- (* -1 x) 2/3)) 1/9)
(* 3 x)
(* x (+ 3 (* -9 x)))
(* x (+ 3 (* x (- (* 27 x) 9))))
(* x (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -9 x)))
(* (pow x 2) (+ 3 (* x (- (* 27 x) 9))))
(* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x)))))
(* 1/9 x)
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 2) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 2) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(/ -1 x)
(/ (- (* 1/3 (/ 1 x)) 1) x)
(/ (- (* 1/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))) x)
(/ (- (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (/ 1/9 (pow x 2)))) x)
(* -1 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(* x (- (* 1/3 (/ 1 x)) 1))
(* x (- (* 1/3 (/ 1 x)) 1))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
1
(- 1 (* 1/3 (/ 1 x)))
(- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))
(- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x)))))
(* 1/9 x)
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x)))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x)))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1))
(* (pow x 2) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(/ -1 x)
(* -1 (/ (- 1 (* 1/3 (/ 1 x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
1
(- 1 (* 1/3 (/ 1 x)))
(+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x)))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))

Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/9 x))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* -1/3 x))))
(fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3)))))
(fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/9 x))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* 1/9 x))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* 1/9 x))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
-1/9
#s(literal -1/9 binary64)
(- (* -2/3 x) 1/9)
(fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))
(- (* x (- (* -1 x) 2/3)) 1/9)
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
(- (* x (- (* -1 x) 2/3)) 1/9)
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
-1/9
#s(literal -1/9 binary64)
(- (* -2/3 x) 1/9)
(fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))
(- (* x (- (* -1 x) 2/3)) 1/9)
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
(- (* x (- (* -1 x) 2/3)) 1/9)
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/9 x))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* -1/3 x))))
(fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3)))))
(fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/9 x))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* -1/3 x))))
(fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3)))))
(fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1/3 x))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))
(+ 1/9 (* x (- (* -1 x) 1/3)))
(fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))
(+ 1/9 (* x (- (* -1 x) 1/3)))
(fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
-3
#s(literal -3 binary64)
(- (* 9 x) 3)
(fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))
(- (* x (+ 9 (* -27 x))) 3)
(fma.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x #s(literal -3 binary64))
(- (* x (+ 9 (* x (- (* 81 x) 27)))) 3)
(fma.f64 (fma.f64 (fma.f64 #s(literal 81 binary64) x #s(literal -27 binary64)) x #s(literal 9 binary64)) x #s(literal -3 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1 x))
(-.f64 #s(literal 1/3 binary64) x)
(+ 1/3 (* -1 x))
(-.f64 #s(literal 1/3 binary64) x)
(+ 1/3 (* -1 x))
(-.f64 #s(literal 1/3 binary64) x)
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
-1/9
#s(literal -1/9 binary64)
(- (* -2/3 x) 1/9)
(fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))
(- (* x (- (* -1 x) 2/3)) 1/9)
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
(- (* x (- (* -1 x) 2/3)) 1/9)
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* x (- (* 27 x) 9))))
(*.f64 (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x)
(* x (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -81 binary64) x #s(literal 27 binary64)) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x)
(* 3 (pow x 2))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(* (pow x 2) (+ 3 (* -9 x)))
(.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (- (* 27 x) 9))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -81 binary64) x #s(literal 27 binary64)) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x) x)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(*.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x x) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64)) x))
(* 1/9 x)
(*.f64 #s(literal 1/9 binary64) x)
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -2/3 binary64) x) x)
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(fma.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2/3 binary64)) x (*.f64 (neg.f64 x) x))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(fma.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2/3 binary64)) x (*.f64 (neg.f64 x) x))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -2/3 binary64) x) x)
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(fma.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2/3 binary64)) x (*.f64 (neg.f64 x) x))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(fma.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2/3 binary64)) x (*.f64 (neg.f64 x) x))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(*.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x x) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64)) x))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(*.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x x) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64)) x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -1/3 binary64) x) x)
(* (pow x 2) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))
(* (pow x 2) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/3 (/ 1 x)) 1) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x)
(/ (- (* 1/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)) x)
(/ (- (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (/ 1/9 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal 1/3 binary64)) x)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(-.f64 #s(literal 1/3 binary64) x)
(* x (- (* 1/3 (/ 1 x)) 1))
(-.f64 #s(literal 1/3 binary64) x)
(* x (- (* 1/3 (/ 1 x)) 1))
(-.f64 #s(literal 1/3 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -2/3 binary64) x) x)
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(fma.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2/3 binary64)) x (*.f64 (neg.f64 x) x))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(fma.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2/3 binary64)) x (*.f64 (neg.f64 x) x))
1
#s(literal 1 binary64)
(- 1 (* 1/3 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
(- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) x) #s(literal 1/3 binary64))
(* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal 1/3 binary64)) x)
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)))))
(*.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x)))))
(.f64 (.f64 x x) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64)) x))
(* 1/9 x)
(*.f64 #s(literal 1/9 binary64) x)
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -2/3 binary64) x) x)
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(fma.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2/3 binary64)) x (*.f64 (neg.f64 x) x))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(fma.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2/3 binary64)) x (*.f64 (neg.f64 x) x))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -2/3 binary64) x) x)
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(fma.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2/3 binary64)) x (*.f64 (neg.f64 x) x))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(fma.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2/3 binary64)) x (*.f64 (neg.f64 x) x))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)))))
(*.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x)))))
(.f64 (.f64 x x) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64)) x))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)))))
(*.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x)))))
(.f64 (.f64 x x) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64)) x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -1/3 binary64) x) x)
(* (pow x 2) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1))
(fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))
(* (pow x 2) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1))
(fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (* 1/3 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal 1/3 binary64)) x)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 1/3 binary64) x)
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 1/3 binary64) x)
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 1/3 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -2/3 binary64) x) x)
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(fma.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2/3 binary64)) x (*.f64 (neg.f64 x) x))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(fma.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2/3 binary64)) x (*.f64 (neg.f64 x) x))
1
#s(literal 1 binary64)
(- 1 (* 1/3 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) x) #s(literal 1/3 binary64))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))
(+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal 1/3 binary64)) x)

rewrite493.0ms (9.3%)

Memory

-32.4MiB live, 311.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	250
0	59	250
1	263	243
2	1978	243
0	8663	237

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

17 → 366

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64))))
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
#s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64)))
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))))
#s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)))
(fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))))
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)))
(fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))
(fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x))
(/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64)))
(-.f64 #s(literal 1/3 binary64) x)
(fma.f64 x x #s(literal -1/9 binary64))
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
#s(approx (/ x (- x -1/3)) (*.f64 #s(literal 3 binary64) x))
(.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x)

Outputs
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eval166.0ms (3.1%)

Memory: -20.7MiB live, 219.5MiB allocated
Compiler: Compiled 15 117 to 1 709 computations (88.7% saved)

prune18.0ms (0.3%)

Memory

28.1MiB live, 67.4MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	661	1	662
Fresh	0	0	0
Picked	1	3	4
Done	0	2	2
Total	662	6	668

Accuracy

100.0%

Counts

668 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.6%	(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x))
✓	61.6%	(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))))
✓	45.4%	(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))))
✓	46.1%	(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64))))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	45.6%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 268 to 110 computations (59% saved)

regimes12.0ms (0.2%)

Memory

-14.5MiB live, 24.2MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64))))
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))))
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x))
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))))
(fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x)) x))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (.f64 x #s(approx (/ x (- x -1/3)) (.f64 #s(literal 3 binary64) x))))
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
(fma.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64))) (.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))

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

Calls

2 calls:

6.0ms	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
5.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Outputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Calls

2 calls:

1.0ms	x
1.0ms	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
45.6%	1	`x`
45.6%	1	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 6 to 6 computations (0% saved)

simplify43.0ms (0.8%)

Memory

-11.5MiB live, 52.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	8
1	14	8
2	18	8
3	20	8
4	21	8

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x #s(literal 1/3 binary64))
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Outputs
(-.f64 x #s(literal 1/3 binary64))
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

soundness157.0ms (3%)

Memory

3.4MiB live, 77.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
0	8	4
1	27	4
2	129	4
3	979	4
0	8557	4
0	13	30
1	32	30
2	75	30
3	158	30
4	412	30
5	523	30
6	576	30
7	599	30
8	601	30
0	601	30

Stop Event

1×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 14 to 14 computations (0% saved)

preprocess105.0ms (2%)

Memory: 5.4MiB live, 84.3MiB allocated
Compiler: Compiled 20 to 20 computations (0% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample511.0ms (9.7%)

explain57.0ms (1.1%)

preprocess13.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize20.0ms (0.4%)

series1.0ms (0%)

simplify13.0ms (0.2%)

rewrite159.0ms (3%)

eval53.0ms (1%)

prune9.0ms (0.2%)

simplify108.0ms (2%)

localize114.0ms (2.2%)

series18.0ms (0.3%)

simplify135.0ms (2.6%)

rewrite198.0ms (3.7%)

eval318.0ms (6%)

prune41.0ms (0.8%)

simplify489.0ms (9.2%)

localize175.0ms (3.3%)

series13.0ms (0.2%)

simplify201.0ms (3.8%)

rewrite409.0ms (7.7%)

eval517.0ms (9.8%)

prune29.0ms (0.5%)

simplify312.0ms (5.9%)

localize210.0ms (4%)

series18.0ms (0.3%)

simplify152.0ms (2.9%)

rewrite493.0ms (9.3%)

eval166.0ms (3.1%)

prune18.0ms (0.3%)

regimes12.0ms (0.2%)

regimes3.0ms (0.1%)

simplify43.0ms (0.8%)

soundness157.0ms (3%)

preprocess105.0ms (2%)

end0.0ms (0%)

Profiling